MCQ : Set #7

NOTE : Each set contains 30 questions. Time limit is 45 min.

1. A current of 5 A passes along a wire of length 1.0 m. the wire is at right angles to a magnetic field of flux density of 0.15 T. The force acting on the wire is...
   
   
   
   1. 0
   2. 0.03 N
   3. 0.75 N
   4. 33 N
      
   
   
2. The end product of most radioactive decay series is usually some form of
   
   
   
   1. carbon
   2. helium
   3. hydrogen
   4. lead
      
   
   
3. The cause of surface tension is...
   
   
   
   1. adhesive forces
   2. cohesive forces
   3. external forces
   4. gravitational force
      
   
   
4. The unit 'poise' is...
   
   
   
   1. dyne.sec/cm²
   2. dyne.cm/sec²
   3. newton.sec/m²
   4. dyne.sec/cm
      
   
   
5. Emission line spectrum will be obtained from...
   
   
   
   1. candle flame
   2. sodium lamp
   3. Sun
   4. white hot filament of an electric bulb
      
   
   
6. A hollow insulated brass sphere is positively charged. The electric potential inside the sphere is...
   
   
   
   1. zero
   2. greater than the potential at the surface
   3. smaller than the potential at the surface
   4. the same as that on the surface
      
   
   
7. The linear momentum of a body is P = a + (bt²/2). The force acting on the body is...
   
   
   
   1. a + (bt/2)
   2. a + bt
   3. bt/2
   4. bt
      
   
   
8. The weight of a body on the surface of earth is 100 N. Its weight at a depth half way to the centre of earth will be...
   
   
   
   1. 50 N
   2. 100 N
   3. 25 N
   4. 125 N
      
   
   
9. Two wires C and D of the length in the ratio 2 : 3, diameter in the ratio 2 : 3 and of the same material, are subjected to same force. Then the ratio of their extensions l_c : l_d is...
   
   
   
   1. 3 : 2
   2. 2 : 3
   3. 4 : 9
   4. 8 : 27
      
   
   
10. The potential energy of a harmonic oscillator is maximum when the displacement is equal to...
    
    
    
    1. zero
    2. 1/2 amplitude
    3. amplitude
    4. 1/4 amplitude
       
    
    
11. When the forces acting on a body are in equilibrium, its...
    
    
    
    1. velocity is zero
    2. displacement is zero
    3. acceleration is zero
    4. momentum is zero
       
    
    
12. An object at rest may possess...
    
    
    
    1. velocity
    2. momentum
    3. kinetic energy
    4. potential energy
       
    
    
13. A nonconservative force does not give rise to...
    
    
    
    1. thermal energy
    2. kinetic energy
    3. light energy
    4. potential energy
       
    
    
14. Atoms forming a molecule attain the arrangement in which they obtain...
    
    
    
    1. zero potential energy
    2. minimum potential energy
    3. maximum potential energy
    4. none of the above
       
    
    
15. Bulk modulus of a liquid is...
    
    
    
    1. higher than that for a solid
    2. higher than that for a gas
    3. lower than that for a gas
    4. zero
       
    
    
16. The CGS unit of coefficient of viscosity is...
    
    
    
    1. dyne.second/cm²
    2. newton.second/cm²
    3. dyne.(second)²/cm²
    4. newton.second/cm
       
    
    
17. The volume of a gas sample is directly proportional to its...
    
    
    
    1. Fahrenheit temperature
    2. Celsius temperature
    3. Kelvin temperature
    4. pressure
       
    
    
18. The approximate relationship between the coefficient of linear expansion(α) and the coefficient of cubical expansion(γ) is...
    
    
    
    1. γ = α²
    2. γ = α³
    3. α = 3 γ
    4. γ = 3 α
       
    
    
19. When capacitors are in parallel...
    
    
    
    1. they are all at the same potential
    2. they are at different potentials
    3. their capacitances are equal
    4. the equivalent capacitance is zero
       
    
    
20. The earth's magnetic field at sea level is...
    
    
    
    1. 3 x 10^-9 T
    2. 3 x 10⁹ T
    3. 3 x 10^-5 T
    4. 3 x 10⁵ T
       
    
    
21. Monoatomic gases give...
    
    
    
    1. line spectra
    2. band spectra
    3. continuous spectra
    4. line and band spectra
       
    
    
22. The centre of mass of a rigid body...
    
    
    
    1. lies inside the body
    2. lies outside the body
    3. can be inside or outside of the body
    4. may not exist
       
    
    
23. If 'l' is the length of a simple pendulum and 'T' its period, then 'g' is given by...
    
    
    
    1. (4π²l)/T²
    2. 2π/(√ l/t)
    3. 2πl/t
    4. (4πl²)/t²
       
    
    
24. The rate at which an object radiates electromagnetic energy does not depend on its...
    
    
    
    1. surface area
    2. mass
    3. temperature
    4. ability to absorb radiation
       
    
    
25. Which of the following is neither a basic physical law nor derivable from one?
    
    
    
    1. Coulomb's law
    2. Ohm's law
    3. Kirchhoff's first law
    4. Kirchhoff's second law
       
    
    
26. The power dissipated as heat in an a.c. circuit depends on its...
    
    
    
    1. resistance
    2. inductive reactance
    3. capacitive reactance
    4. impedance
       
    
    
27. Impedance is a maximum at resonance in...
    
    
    
    1. a series RLC circuit
    2. a parallel RLC circuit
    3. all RLC circuits
    4. no RLC circuit
       
    
    
28. Red shift indicates...
    
    
    
    1. recession of star
    2. approaching movement of star
    3. that red light changes to violet
    4. that violet light changes to red
       
    
    
29. The penetration power of beta particles is 1. Then the relative penetration power of gamma rays is...
    
    
    
    1. 1
    2. 100
    3. 1/1000
    4. 1000
       
    
    
30. In a common-base circuit the current gain is...
    
    
    
    1. 0
    2. 1
    3. greater than 1
    4. smaller than 1
       
    
    

MCQ : Set #6

NOTE : Each set contains 30 questions. Time limit is 45 min.

1. The equation applicable in the adiabatic process of n mole ideal gas is...
   
   
   
   1. ΔU = nC_pΔT
   2. ΔU = nC_vΔT
   3. ΔQ = nC_vΔT
   4. ΔQ = nC_pΔT
      
   
   
2. In a Carnot's engine, the working substance is...
   
   
   
   1. ideal gas
   2. steam
   3. petrol
   4. CO₂
      
   
   
3. Two particles A and b initially at rest, move towards each other under a mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2v, the speed of centre of mass of the system is
   
   
   
   1. zero
   2. v
   3. 1.5v
   4. 3v
      
   
   
4. Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. The gravitational force of attraction between the planet and the star is proportional to R^(-5/2), then T² is proportional to...
   
   
   
   1. R³
   2. R^(7/2)
   3. R^(3/2)
   4. R^3.75
      
   
   
5. Electrical conductivity increases with the increase in temperature of...
   
   
   
   1. P-type semiconductor
   2. N-type semiconductor
   3. intrinsic semiconductor
   4. none
      
   
   
6. Amount of charge in coulomb required to deposit one gram equivalent of substance by electrolysis is...
   
   
   
   1. 96500
   2. 48 x 10^-10
   3. 6 x 10²⁴
   4. 9600
      
   
   
7. A camera lens is adjusted to f/4 and has an effective diameter of 2.0 cm. Its focal length is...
   
   
   
   1. 0.2 cm
   2. 1.6 cm
   3. 2.0 cm
   4. 8.0 cm
      
   
   
8. The self inductance of a long solenoid is directly affected by changes in all but...
   
   
   
   1. the number of turns
   2. the current
   3. the area of cross section
   4. the relative permeability of the core
      
   
   
9. Which of the following is not the unit of energy ?
   
   
   
   1. joule
   2. erg
   3. newton.metre
   4. dyne
      
   
   
10. All collisions conserve...
    
    
    
    1. kinetic energy
    2. momentum
    3. both kinetic energy and momentum
    4. neither of kinetic energy and momentum
       
    
    
11. If a rocket of initial mass m is to rise from its launching pad, its initial thrust must exceed...
    
    
    
    1. mg/2
    2. mg
    3. 2mg
    4. mg²/2
       
    
    
12. 9 gram of water contains approximately...
    
    
    
    1. 6 x 10²³ molecules of water
    2. 6 x 10²³ atoms of oxygen
    3. 6 x 10²³ atoms of hydrogen
    4. 3 x 10²³ atoms of hydrogen
       
    
    
13. A cable can support a maximum load of W without exceeding the elastic limit. If it is replaced by a cable of same material but half as long and half the diameter, the elastic limit will not be exceeded by the new cable up to a load of...
    
    
    
    1. W/4
    2. W/2
    3. W
    4. 2W
       
    
    
14. Surface tension does not depend on...
    
    
    
    1. surface area
    2. the type of liquid
    3. temperature
    4. medium in contact with the liquid
       
    
    
15. -40° F is equal to...
    
    
    
    1. -40° C
    2. -8° C
    3. -72° C
    4. -104° C
       
    
    
16. The magnitude of the field within a conductor...
    
    
    
    1. depends on the shape of the conductor
    2. is always zero
    3. is always positive
    4. may be zero or positive
       
    
    
17. A permanent magnet does not exert force on...
    
    
    
    1. an unmagnetized iron bar
    2. a magnetized iron bar
    3. a stationary electric charge
    4. a moving electric charge
       
    
    
18. A primary rainbow cannot be seen by an observer looking up if the altitude of the Sun exceeds...
    
    
    
    1. 10°
    2. 20°
    3. 22.5°
    4. 40°
       
    
    
19. According to the descending order of temperature the stars are classified in to the orders O,B,A,F,G,K and M. Our Sun comes in the order...
    
    
    
    1. A
    2. B
    3. G
    4. K
       
    
    
20. Position of the centre of mass of a rigid body depends on...
    
    
    
    1. its shape only
    2. distribution of its matter only
    3. both its shape and distribution of matter
    4. its position relative to the earth.
       
    
    
21. Force is to linear motion as _____ is to rotational motion.
    
    
    
    1. acceleration
    2. torque
    3. moment of inertia
    4. angular momentum
       
    
    
22. A hole is drilled to the centre of the earth and a stone is dropped in to it. When the stone is at the earth's centre, compared to the values at the earth's surface...
    
    
    
    1. its mass and weight both change
    2. its mass and weight both are zero
    3. its mass is unchanged and its weight is zero
    4. its mass is zero and its weight is unchanged
       
    
    
23. For an IC engine, the thermal efficiency depends on...
    
    
    
    1. the compression ratio
    2. the speed of the piston
    3. the temperature of working medium
    4. the diameter of the cylinder
       
    
    
24. A 12-V potential difference is applied across a series combination of four 6-ohm resistors. The current in each resistor is...
    
    
    
    1. 0.5 A
    2. 2 A
    3. 8 A
    4. 18 A
       
    
    
25. The temperature at which the thermo emf becomes zero is known as the...
    
    
    
    1. neutral temperature
    2. absolute temperature
    3. inverse temperature
    4. thermoelectric temperature
       
    
    
26. A transformer uses the principle of...
    
    
    
    1. self-induction
    2. mutual induction
    3. variable resistance
    4. electrostatic attraction
       
    
    
27. If V and V_m are the instantaneous and maximum values, respectively , of voltage in an a.c. circuit, then the mean value of the voltage is...
    
    
    
    1. V_m sinωt
    2. √ 2 V_m
    3. V_m/√ 2
    4. none of the above
       
    
    
28. Electromagnetic waves having wavelengths greater than 200 m are called...
    
    
    
    1. sky waves
    2. ground waves
    3. micro waves
    4. X-rays
       
    
    
29. If θ_m is the angle of diffracted wave with the direction of incidence and d is the width of slit, then m^th order minima is obtained for sinθ_m equal to...
    
    
    
    1. mλ/d
    2. dλ/m
    3. md/λ
    4. m/λd
       
    
    
30. As a sample of a radioactive element decays, its half-life...
    
    
    
    1. decreases
    2. increases
    3. remains the same
    4. changes exponentially.
       
    
    

MCQ : Set #5

NOTE : Each set contains 30 questions. Time limit is 45 min.

1. T is the period of oscillation for a spring-mass system on earth. Its period on moon is...
   
   
   
   1. T
   2. 6T
   3. T/6
   4. √ 6T
      
   
   
2. In a stretched string, the speed of waves depends on...
   
   
   
   1. the tension in the string
   2. the amplitude
   3. the wavelength
   4. the acceleration due to gravity
      
   
   
3. For a plane curved path with radius of curvature R without slope the maximum safe velocity of the vehicle(v) is proportional to...
   
   
   
   1. R
   2. R²
   3. √R
   4. 1/R
      
   
   
4. Two projectiles A and B are projected with same initial velocity. The direction of A makes an angle α_A = π/4 with the horizontal.The direction of B makes an angle α_B with the horizontal. The range of A will be double that of B for α_B equal to...
   
   
   
   1. π/8
   2. π/2
   3. π/3
   4. π/12
      
   
   
5. A frictionless heat engine can be 100% efficient only its exhaust temperature is...
   
   
   
   1. equal to its input temperature
   2. 0°C
   3. less than the input temperature
   4. 0 K
      
   
   
6. The resistance of conductor is R. The resistance of another conductor of identical material and equal length with twice the diameter is...
   
   
   
   1. R/4
   2. R/2
   3. 2R
   4. 4R
      
   
   
7. The magnitude of the magnetic field B at a point on the axis near the centre of the infinitely long solenoid having n turns per unit length and carrying a current I is given by...
   
   
   
   1. μ₀nI
   2. μ₀I/n
   3. (μ₀nI)/4π
   4. μ₀I/4πn
      
   
   
8. The impedance of a circuit does not depend on...
   
   
   
   1. f
   2. I
   3. C
   4. R
      
   
   
9. Shadows are never completely dark because of...
   
   
   
   1. interference
   2. diffraction
   3. polarization
   4. reflection
      
   
   
10. Threshold frequency is the characteristic of...
    
    
    
    1. the incident radiation
    2. the emitted electrons
    3. the metal
    4. both radiation and the metal
       
    
    
11. In the hydrogen spectrum,the seriesv obtained in the visible region is...
    
    
    
    1. Balmer series
    2. Lyman series
    3. Paschen series
    4. Brackett series
       
    
    
12. Out of four different atoms:₄₆A²², ₄₈B²², ₄₆C²³, ₄₄D²⁰, the pair of isotones is...
    
    
    
    1. A and B
    2. B and C
    3. A and C
    4. A and D
       
    
    
13. In a common-base circuit, the current gain is...
    
    
    
    1. 0
    2. 1
    3. less than 1
    4. greater than 1
       
    
    
14. The magnitude of the resultant of two forces is a minimum when the angle between them is...
    
    
    
    1. 0°
    2. 45°
    3. 90°
    4. 180°
       
    
    
15. Work done on the particle in uniform circular motion is...
    
    
    
    1. always positive
    2. always negative
    3. always zero
    4. directly proportional to the force
       
    
    
16. An 800-kg car moving at 80 kmph collides head-on with a 1200-kg car moving at 40 kmph. If they stick together, the wreckage now has an initial speed of...
    
    
    
    1. 8 kmph
    2. 40 kmph
    3. 56 kmph
    4. 60 kmph
       
    
    
17. Fluids possess...
    
    
    
    1. only volume elasticity
    2. rigidity and volume elasticity
    3. only rigidity
    4. volume elasticity and tensile elasticity
       
    
    
18. A water-proofing agent...
    
    
    
    1. reduces angle of contact
    2. increases angle of contact
    3. decreases surface tension
    4. increases surface area
       
    
    
19. A certain container holds 1 kg air at atmospheric pressure. When an additional 1 kg of air is pumped into the container at constant temperature, the pressure is...
    
    
    
    1. 0.5 atm
    2. 1 atm
    3. 2 atm
    4. 4 atm
       
    
    
20. If Q is the charge on either of the plates of the capacitor and V is the potential difference across the capacitor with capacitance C, what is not true is...
    
    
    
    1. C = Q/V
    2. V α Q
    3. Q/V = constant
    4. VQ = constant
       
    
    
21. The origin of all magnetic fields lies in...
    
    
    
    1. atoms of iron
    2. magnetic domains
    3. moving charges
    4. permanent magnets
       
    
    
22. The effective atmosphere of sun is called...
    
    
    
    1. photosphere
    2. chromosphere
    3. corona
    4. stratosphere
       
    
    
23. A 4 litre gas cylinder contains neon gas at 12 kPa. Another cylinder with 8 litre capacity is at same temperature and contains argon gas at 24 kPa. When the two are connected, the total pressure will be...
    
    
    
    1. 16 kPa
    2. 18 kPa
    3. 20 kPa
    4. 36 kPa
       
    
    
24. Eddy currents can be of use in...
    
    
    
    1. dynamo armatures
    2. moving coil galvanometers
    3. transformer cores
    4. all of the above.
       
    
    
25. A tube closed at one end and containing air, produces the fundamental note of frequency 512 Hz when excited. If the tube is open at both ends, the fundamental frequency that can be excited in Hz is...
    
    
    
    1. 1024
    2. 512
    3. 256
    4. 128
       
    
    
26. The process by which a heavy nucleus splits into two nuclei is known as...
    
    
    
    1. fusion
    2. β-decay
    3. fission
    4. γ-emission
       
    
    
27. A uniform chain of length L and mass M is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If 'g' is the acceleration due to gravity, the work required to pull the hanging parton to the table is...
    
    
    
    1. MgL
    2. MgL/3
    3. MgL/9
    4. MgL/8
       
    
    
28. Out of the following which is the most elastic ?
    
    
    
    1. rubber
    2. glass
    3. steel
    4. plastic
       
    
    
29. Amagat's isothermal graphs are in the form of...
    
    
    
    1. PV→T
    2. PV→P
    3. P→V
    4. PV→V
       
    
    
30. An ideal heat engine absorbs heat at 127° and rejects heat at 77°. Efficiency of the engine is...
    
    
    
    1. 12.5%
    2. 28%
    3. 68%
    4. 39%
       
    
    

MCQ : Set #4

NOTE : Each set contains 30 questions. Time limit is 45 min.

1. When a rolling solid cylinder reaches the bottom of the slope, its linear velocity is...
   
   
   
   1. √ gh
   2. √ 2gh
   3. mgh
   4. √(4gh/3)
      
   
   
2. For ideal gas, the graph of PV → P is...
   
   
   
   1. a parabola
   2. a hyperbola
   3. inclined with P-axis
   4. parallel to P-axis
      
   
   
3. A spherical drop of mercury has a diameter of 6.0 x 10^-3 m. If the surface tension of mercury is 0.5 N/m, then the pressure inside the drop will exceed the pressure outside by about...
   
   
   
   1. 42 Pa
   2. 330 Pa
   3. 167 Pa
   4. 170 Pa
      
   
   
4. A lift attendant has a mass of 70 kg. When the lift is going up with a constant acceleration of 1 m/s², the force acting upwards on him is...
   
   
   
   1. zero
   2. 70 N
   3. 770 N
   4. 700 N
      
   
   
5. A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to...
   
   
   
   1. t^1/2
   2. t^3/4
   3. t^3/2
   4. t²
      
   
   
6. The angular velocity of a body is changed from ω₁ to ω₂ by changing its moment of inertia. If no torque acts on the body then the ratio of initial radius of gyration to the final radius of gyration is...
   
   
   
   1. ω₁ : ω₂
   2. ω₂ : ω₁
   3. √ω₁ : √ω₂
   4. √ω₂ : √ω₁
      
   
   
7. Two parallel plates carry opposite charges such that the electric field in the space between them is in upward direction. An electron is shot in the space and parallel to the plates. Its deflection from the original direction will be...
   
   
   
   1. downwards
   2. upwards
   3. circular
   4. none
      
   
   
8. Compton effect is associated to...
   
   
   
   1. X-rays
   2. β-rays
   3. γ-rays
   4. positive rays
      
   
   
9. If the magnitude of gravitational force is 1, the relative magnitude of strong force is...
   
   
   
   1. 10^-13
   2. 10^-38
   3. 10³⁸
   4. 10¹³
      
   
   
10. In an elastic collision...
    
    
    
    1. momentum is conserved but not kinetic energy
    2. kinetic energy is conserved but not momentum
    3. both momentum and kinetic energy are conserved
    4. neither omentum nor kinetic energy is conserved
       
    
    
11. In a crystal the angles between the edges of the faces and between the faces themselves are...
    
    
    
    1. right angles
    2. acute angles
    3. obtuse angles
    4. constant
       
    
    
12. The equation of continuity indicates that the velocity of the fluid is greater at
    
    
    
    1. narrow cross-section
    2. broad cross-section
    3. entry point
    4. exit point
       
    
    
13. The internal energy of an ideal gas is dependent on...
    
    
    
    1. its temperature only
    2. its temperature and volume
    3. its temperature and pressure
    4. its temperature, pressure and volume
       
    
    
14. The field at any point on the surface of the conductor is...
    
    
    
    1. zero
    2. parallel to the surface
    3. perpendicular to the surface
    4. neither parallel nor perpendicular to the surface
       
    
    
15. A magnetic iron bar is strongly heated. Its magnetic field...
    
    
    
    1. becomes stronger
    2. becomes weaker
    3. reverses its direction
    4. does not change
       
    
    
16. The angle subtended by the secondary bow at the eye is about...
    
    
    
    1. 41°
    2. 47°
    3. 53°
    4. 60°
       
    
    
17. If M and L are respectively the mass and luminosity of a star, then L = M^α, where...
    
    
    
    1. 0<α<1
    2. α<0
    3. 1<α<2
    4. 2<α<4
       
    
    
18. 'T' is period of oscillation of an object performing SHM. Its potential energy is zero at some instant. The time taken to attain maximum potential energy is...
    
    
    
    1. T
    2. T/2
    3. T/4
    4. T/8
       
    
    
19. A sonar signal sent vertically downwards from a ship is reflected from the ocean floor and detected by a microphone on the keel 0.4 s after transmission. If speed of sound in water is 1500 m/s, the depth of the ocean in metre is...
    
    
    
    1. 150
    2. 300
    3. 600
    4. 7500
       
    
    
20. A car of mass M is turning a corner of radius r. The coefficient of friction between the wheels and the horizontal road surface is μ. The maximum speed with which the car can turn the corner without skidding is given by...
    
    
    
    1. Mrg
    2. √Mrg
    3. √ μrg
    4. (μrM)/g
       
    
    
21. The altitude of geostationary satellite above the earth's surface is approximately...
    
    
    
    1. 35900 km
    2. 42300 km
    3. 11.2 km
    4. 24040 km
       
    
    
22. In order to emit electromagnetic radiation, an object must be at a temperature...
    
    
    
    1. above 0 K
    2. above 0°C
    3. above that of its surroundings
    4. high enough for it to glow
       
    
    
23. A 200 m long copper wire has a resistance of 2 ohm. Its cross-sectional area is ... (take ρ = 1.7 x 10^-8 ohm-meter)
    
    
    
    1. 0.0017 mm²
    2. 1.7 mm²
    3. 3.4 mm²
    4. 5.3 mm²
       
    
    
24. The unit of conductivity is...
    
    
    
    1. ohm-meter
    2. ohm/meter
    3. mho-meter
    4. mho/meter
       
    
    
25. When the lead-storage cell is completely discharged, the specific gravity of the electrolyte becomes
    
    
    
    1. 1.285
    2. 1.825
    3. 1.5
    4. 1.15
       
    
    
26. Two solenoids A and B have equal number of turns. The length of A is twice that of B and the cross-sectional area of A is half that of B. Other things being similar, the ratio of their inductances L_A/L_B is equal to...
    
    
    
    1. 1
    2. 2
    3. 4
    4. 1/4
       
    
    
27. In a resistive circuit, the power factor is...
    
    
    
    1. π
    2. 1
    3. √ 2
    4. √(1/2)
       
    
    
28. The impedance of a parallel RLC circuit at resonance is...
    
    
    
    1. less than R
    2. more than R
    3. equal to R
    4. any of the above
       
    
    
29. Longitudinal waves do not exhibit...
    
    
    
    1. refraction
    2. reflection
    3. diffraction
    4. polarization
       
    
    
30. If E₁ is the energy of a photon of ultraviolet light and E₂ that of a photon of red light, then...
    
    
    
    1. E₁/E₂ = 1
    2. E₁ is smaller than E₂
    3. E₁ is greater than E₂
    4. E₁ - E₂ = 0
       
    
    

MCQ : Set #3

NOTE : Each set contains 30 questions. Time limit is 45 min.

1. In simple harmonic motion, there is always a constant ratio between the displacement of mass and its...
   
   
   
   1. speed
   2. acceleration
   3. period
   4. mass
      
   
   
2. The wave intensity is proportional to the...
   
   
   
   1. amplitude
   2. square of amplitude
   3. frequency
   4. square of frequency
      
   
   
3. When a rigid body rotates about an axis and the external torque is zero, then for that body _____ is constant.
   
   
   
   1. angular velocity
   2. moment of inertia
   3. linear momentum
   4. angular momentum
      
   
   
4. If Q₁ is the heat absorbed by the working substance and Q₂ is the heat utilized in doing work, then the efficiency of the engine is given by...
   
   
   
   1. 1 - (Q₁/Q₂)
   2. 1 - (Q₂/Q₁)
   3. (1 - Q₁)/Q₂
   4. (1 - Q₂)/Q₁
      
   
   
5. Two identical resistors in parallel have an equivalent resistance of 2 Ω. If the resistors were in series, their equivalent resistance would be...
   
   
   
   1. 2 Ω
   2. 4 Ω
   3. 8 Ω
   4. 16 Ω
      
   
   
6. The value of permeability of vacuum (μ) in tesla.m/ampere is...
   
   
   
   1. 4 x 10^-7
   2. 4π x 10^-7
   3. 1.257 x 10^-6
   4. 1.257 x 10⁶
      
   
   
7. The power factor of a circuit in which X_L = X_C...
   
   
   
   1. is 0
   2. is 1
   3. depends on X_L/X_C
   4. depends on R
      
   
   
8. It is impossible to polarize...
   
   
   
   1. white light
   2. radio waves
   3. X-rays
   4. sound waves
      
   
   
9. The wave theory of light fails to explain...
   
   
   
   1. interference
   2. diffraction
   3. polarization
   4. black-body radiation
      
   
   
10. The beta- disintegration of a parent element produces a daughter element which in the periodic table is...
    
    
    
    1. up by one step
    2. down by one step
    3. up by two steps
    4. down by two steps
       
    
    
11. The unit of radioactive constant(λ) of the disintegrating element is...
    
    
    
    1. m
    2. m/s
    3. s^-1
    4. m^-1
       
    
    
12. The process of introducing impurity in an intrinsic semiconductor is called...
    
    
    
    1. diffusion
    2. doping
    3. depletion
    4. transition
       
    
    
13. Which of the following is dimensionless?
    
    
    
    1. frequency
    2. stress
    3. coefficient of friction
    4. gas constant
       
    
    
14. When the acceleration is zero, the final velocity of the object is...
    
    
    
    1. zero
    2. less than initial velocity
    3. more than initial velocity
    4. equal to initial velocity
       
    
    
15. The coefficient of static friction for steel on ice is 0.1. The coefficient of sliding friction therefore can be
    
    
    
    1. 0.08
    2. 0.1
    3. 0.11
    4. 1.1
       
    
    
16. If a shell fired from a cannon explodes in mid-air...
    
    
    
    1. its total kinetic energy increases
    2. its total kinetic energy decreases
    3. its total momentum increases
    4. its total momentum decreases
       
    
    
17. Avogadro suggested that the smallest particle of an element that can exist in free state is...
    
    
    
    1. atom
    2. molecule
    3. neutron
    4. ion
       
    
    
18. An iron wire 1 m long with a square cross section 2 mm on a side is used to support a 100-kg load. Its elongation is...
    
    
    
    1. 0.0027 mm
    2. 0.27 mm
    3. 1.3 mm
    4. 3.7 mm
       
    
    
19. Dimensions of coefficient of surface tension are...
    
    
    
    1. M¹L¹T^-2
    2. M¹L¹T¹
    3. M¹L⁰T^-2
    4. M¹L⁰T^-1
       
    
    
20. A sample of gas is compressed to half its original volume while its temperature is held constant. If the average speed of the gas molecules was originally v, then their new average speed is...
    
    
    
    1. 4v
    2. v
    3. 2v
    4. v/2
       
    
    
21. Generally, for a pure metal...
    
    
    
    1. C_p = C_v
    2. C_v = 3R/2
    3. C_p - C_v = R
    4. C_v - C_p = R
       
    
    
22. Two 50 µF capacitors are connected in parallel. The equivalent capacitance of the combination is...
    
    
    
    1. 25 µF
    2. 50 µF
    3. 100 µF
    4. 200 µF
       
    
    
23. Ferromagnetism is observed...
    
    
    
    1. only in crystalline state
    2. only in amorphous solid state
    3. both in crystalline and amorphous state
    4. in any state of the substance
       
    
    
24. The velocities of violet and red lights are V_v and V_r, respectively, then...
    
    
    
    1. V_v = V_r in glass
    2. V_v = V_r in vacuum
    3. V_v > V_r in glass
    4. V_v > V_r in vacuum
       
    
    
25. 1 astronomical unit is equal to...
    
    
    
    1. 499 light seconds
    2. 149597 km
    3. 3 x 10¹⁰ km
    4. 3 x 10¹⁰ m
       
    
    
26. The displacement of particles in a string stretched in the x-direction is represented by y. Among the following expressions for y, one that describes wave motion is...
    
    
    
    1. coskx sinωt
    2. k²x² - ω²t²
    3. cos²(kx + ωt)
    4. cos(k²x² - ω²t²)
       
    
    
27. A boat which has a speed of 5 km/h in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in km/h is...
    
    
    
    1. 1
    2. 3
    3. 4
    4. √ 41
       
    
    
28. If one mole of monoatomic gas (γ = 5/3) is mixed with one mole ofa diatomic gas (γ = 7/5), the value of γ for the mixture is...
    
    
    
    1. 1.40
    2. 1.50
    3. 1.53
    4. 3.07
       
    
    
29. The ratio of the inertial mass to gravitational mass is...
    
    
    
    1. 0.5
    2. 0.2
    3. 1
    4. g/G
       
    
    
30. On increasing the mass of a body suspended at the end of a spring kept vertically, its period...
    
    
    
    1. decreases
    2. increases
    3. does not change
    4. may increase or decrease
       
    
    

MCQ : Set #2

NOTE : Each set contains 30 questions. Time limit is 45 min.

1. In a tug-of-war match, one team is pulling with a force of 500 N. If they are exactly balanced by the other team, then the tension in the rope is...
   
   
   
   1. 0
   2. 250 N
   3. 500 N
   4. 1000 N
      
   
   
2. The time taken by the light to travel from Sun to earth is approximately...
   
   
   
   1. 8 seconds
   2. 8 minutes
   3. 18 seconds
   4. 18 minutes
      
   
   
3. A charge q is placed at the centre of the line joining two equal charges Q. The system of the three charges will be in equilibrium if q is equal to...
   
   
   
   1. -(Q/2)
   2. -(Q/4)
   3. +(Q/4)
   4. +(Q/2)
      
   
   
4. The velocity of sound in vacuum is 320 m/s. A pipe closed at one end has a length 1 m. Neglecting end corrections, the air column in the pipe can resonate for sound of frequency which is not equal to...
   
   
   
   1. 80 Hz
   2. 240 Hz
   3. 320 Hz
   4. 400 Hz
      
   
   
5. The thermodynamic coordinate that remains constant during an adiabatic process is...
   
   
   
   1. temperature
   2. pressure
   3. density
   4. entropy
      
   
   
6. _____ is not contained in the nucleus of an atom...
   
   
   
   1. proton
   2. electron
   3. neutron
   4. meson
      
   
   
7. As an airplane climbs...
   
   
   
   1. its mass decreases
   2. its mass increases
   3. its weight decreases
   4. its weight increases
      
   
   
8. The unit of the force constant is...
   
   
   
   1. Nm
   2. Nm²
   3. Nm^-2
   4. Nm^-1
      
   
   
9. Brownian motion increases as...
   
   
   
   1. the particle size increases
   2. the particle size decreases
   3. the viscosity of the medium increases
   4. the temperature decreases.
      
   
   
10. Young's modulus is associated with...
    
    
    
    1. volume elasticity
    2. rigidity
    3. shear elasticity
    4. tensile elasticity
       
    
    
11. The force of adhesion is greater than the force of cohesion. This means that the angle of contact (θ) is equal to...
    
    
    
    1. 180°
    2. 120°
    3. 90°
    4. 45°
       
    
    
12. The temperature of an object is raised by 50°C. This is equivalent to an increase in its absolute temperature of...
    
    
    
    1. 50 K
    2. 323 K
    3. 223 K
    4. 82 K
       
    
    
13. The total electric flux is...
    
    
    
    1. always positive
    2. always negative
    3. always zero
    4. none of the above
       
    
    
14. If the field lines are evenly spaced, the field is...
    
    
    
    1. uniform
    2. zero
    3. strong
    4. weak
       
    
    
15. Relative to its object, a real image formed by a lens is always...
    
    
    
    1. erect
    2. inverted
    3. smaller
    4. larger
       
    
    
16. The highest proportion of gas in the Sun is that of...
    
    
    
    1. hydrogen
    2. helium
    3. carbon dioxide
    4. carbon monoxide
       
    
    
17. The product of the period and frequency of a harmonic oscillation is always equal to...
    
    
    
    1. 1
    2. π
    3. 2π
    4. A
       
    
    
18. A direct result of superposition of waves is...
    
    
    
    1. resonance
    2. a wavefront
    3. a progressive wave
    4. beating
       
    
    
19. In the absence of external force the velocity of the center of mass of a system of particles is...
    
    
    
    1. zero
    2. constant
    3. maximum
    4. minimum
       
    
    
20. Three particles of masses 1 kg, 2 kg and 1 kg are at the points whose position vectors are i + j, 2i - j and 3i + j, respectively. The position vector of their centre of mass is...
    
    
    
    1. (6i + j)/4
    2. 2i
    3. (6i + j)/3
    4. 8i
       
    
    
21. For an object above the earth's surface, if the distance of the object from earth's centre is 'd', then the acceleration due to gravity is proportional to...
    
    
    
    1. d
    2. d²
    3. 1/d
    4. 1/d²
       
    
    
22. A perfectly reversible process...
    
    
    
    1. exists
    2. does not exist but is possible
    3. is impossible
    4. involves intermediate inequilibrium states
       
    
    
23. The unit of resistance is...
    
    
    
    1. volt/second
    2. ampere/second
    3. volt.ampere
    4. volt/ampere
       
    
    
24. The unit of magnetic flux density is...
    
    
    
    1. weber
    2. tesla
    3. henry
    4. faraday
       
    
    
25. The power factor of a circuit is equal to...
    
    
    
    1. RZ
    2. R/Z
    3. X_L/Z
    4. X_L/Z
       
    
    
26. Ozone layer absorbs all electromagnetic radiations having wavelength...
    
    
    
    1. smaller than 3 x 10^-7 m
    2. smaller than 3 x 10^-8 m
    3. greater than 3 x 10^-7 m
    4. greater than 3 x 10^-8 m
       
    
    
27. Stationary waves are produced by...
    
    
    
    1. interference
    2. diffraction
    3. polarization
    4. refraction
       
    
    
28. According to Planck's quantum theory, the emission of energy...
    
    
    
    1. is continuous
    2. is discontinuous
    3. does not depend on wavelength
    4. does not depend on frequency
       
    
    
29. When an electron jumps from an orbit of higher energy E₂ to the one with lower energy E₁, the frequency of the electromagnetic radiation emitted depends on...
    
    
    
    1. E₂
    2. E₁
    3. E₁ + E₂
    4. E₂ - E₁
       
    
    
30. After 10 years 75 g of an original sample of 100 g of a certain radioactive element has decayed. The half-life of the isotope is...
    
    
    
    1. 5 years
    2. 7.5 years
    3. 20 years
    4. 40 years
       
    
    

MCQ : Set #1

NOTE : There are 30 questions in all. Time allowed for completing the test is 45 minutes.

1. Fermi is a unit of...
   
   
   
   1. length
   2. mass
   3. time
   4. electric flux
      
   
   
2. The horizontal component of a force of 10 N inclined at 30° to the vertical is...
   
   
   
   1. 5 N
   2. 5√ 3 N
   3. 3 N
   4. 10/√ 3 N
      
   
   
3. The acceleration due to gravity on Mars is 3.7 m/s². Compared with her mass and weight on the earth, an astronaut on Mars has...
   
   
   
   1. less mass and less weight
   2. more mass and more weight
   3. the same mass and less weight
   4. the same mass and more weight
      
   
   
4. To keep a vehicle moving at the speed v requires a force F. The power needed is...
   
   
   
   1. F.v
   2. (1/2)F.v²
   3. F/v
   4. F/v²
      
   
   
5. When the velocity of a moving object is doubled...
   
   
   
   1. its acceleration is doubled
   2. its momentum is doubled
   3. its kinetic energy is doubled
   4. its potential energy is doubled
      
   
   
6. The intermolecular potential is dependent on...
   
   
   
   1. the shape of the molecules only
   2. the molecular separation only
   3. both the shape and the molecular separation
   4. none of the above
      
   
   
7. A cable stretches by amount 'a' under a certain load. If it is replaced by a cable of the same material but half as long and half the diameter, the same load will stretch it by...
   
   
   
   1. a/4
   2. a/2
   3. a
   4. 2a
      
   
   
8. A certain person's heart beats 1.2 times per second and pumps 1.0 x 10^-4 m³ of blood per beat against an average pressure of 14 kPa. The power output of the heart is...
   
   
   
   1. 1.2 W
   2. 1.4 W
   3. 1.7 W
   4. 12 W
      
   
   
9. At which of the following temperatures would the molecules of a gas have twice the average kinetic energy they have at 20 °C
   
   
   
   1. 40 °C
   2. 80 °C
   3. 313 °C
   4. 586 °C
      
   
   
10. For monatomic gases, C_p/C_v is equal to...
    
    
    
    1. 1.67
    2. R
    3. 1.67 R
    4. 1.5 R
       
    
    
11. Of the following the one that is a vector is...
    
    
    
    1. electric charge
    2. electric field
    3. electric energy
    4. potential difference
       
    
    
12. Diamagnetic materials are substances that...
    
    
    
    1. create a strong magnetic field
    2. are attracted by a magnetic field
    3. are repelled by a magnetic field
    4. have double magnetism
       
    
    
13. When a ferromagnet is inserted in a current-carrying loop, the magnetic field...
    
    
    
    1. decreases slightly
    2. decreases greatly
    3. does not change
    4. increases greatly
       
    
    
14. A light ray passes through a prism with an angle of incidence θ, an angle of deviation δ and an angle of emergence ε. Minimum deviation occurs when...
    
    
    
    1. δ = θ
    2. δ = ε
    3. θ = ε
    4. δ = θ - ε
       
    
    
15. The image a camera forms on the film is...
    
    
    
    1. always real
    2. always virtual
    3. always erect
    4. sometimes inverted
       
    
    
16. If for the planets in solar system, r is the radius of the orbit and T is the periodic time, then the ratio r³/T² is...
    
    
    
    1. 1
    2. same for all planets
    3. more for farther planets
    4. less for farther planets
       
    
    
17. A boy swings from a rope 4.9 m long. His approximate period of oscillation is...
    
    
    
    1. 0.5 s
    2. 3.1 s
    3. 4.4 s
    4. 12 s
       
    
    
18. The primary effect when the source is moving is a change in...
    
    
    
    1. frequency
    2. amplitude
    3. wavelength
    4. both frequency and amplitude
       
    
    
19. The distance between a node and the immediate next antinode is...
    
    
    
    1. λ
    2. λ/2
    3. λ/3
    4. λ/4
       
    
    
20. A thin ring has mass M and radius R. Its moment of inertia about the axis passing through its center and perpendicular to its plane is...
    
    
    
    1. MR²
    2. M²R
    3. M/R²
    4. M²/R
       
    
    
21. Two satellites have periods P₁ and P₂, respectively. Their heights above the surface of the earth are h₁ and h₂, respectively. If h₁ > h₂, then...
    
    
    
    1. P₁ > P₂
    2. P₁ = P₂
    3. P₁ < P₂
    4. P₁² > P₂²
       
    
    
22. A projectile is thrown in the direction making an angle θ with the horizontal. The projectile attains maximum height for θ equal to...
    
    
    
    1. 0
    2. π/4
    3. π/2
    4. π
       
    
    
23. A Carnot engine operates between 800K and 200K. If it absorbs 8 kJ of heat in each cycle, the work done by it per cycle is...
    
    
    
    1. 1 kJ
    2. 2 kJ
    3. 2.7 kJ
    4. 6 kJ
       
    
    
24. In a uniform segment of a circuit the current is proportional to the...
    
    
    
    1. density of the segment
    2. resistance of the segment
    3. volume of the segment
    4. potential difference at its ends
       
    
    
25. To charge a secondary cell, what is needed is...
    
    
    
    1. a d.c. current
    2. an a.c. current
    3. fresh electrolyte
    4. heating
       
    
    
26. Two parallel wires carry current in the same direction,...
    
    
    
    1. they attract each other
    2. they repel each other
    3. they neither attract nor repel
    4. they attract or repel depending on current type
       
    
    
27. If the maximum value of the induced e.m.f. is V_m and maximum r.m.s. current is √ 2 ampere for an a.c. circuit with resistance R, then the value of V_m in volt is equal to...
    
    
    
    1. 2R
    2. R
    3. 1/R
    4. √ 2/R
       
    
    
28. The wavelength of light plays no role in...
    
    
    
    1. interference
    2. diffraction
    3. resolving power
    4. polarization
       
    
    
29. The value of the stopping potential depends on...
    
    
    
    1. the intensity of light
    2. the frequency of light
    3. the metal surface area
    4. the charge on the electron
       
    
    
30. The only atom which has no neutron in the nucleus is...
    
    
    
    1. hydrogen
    2. helium
    3. oxygen
    4. polonium