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

- The quality, or timbre, of a musical sound is due to...

[A] its fundamental frequency [B] its overtone structure [C] its amplitude [D] the presence of beats

- If θ is the inclination and μ
_{s}, the coefficient of static friction, then a cylinder can roll on the inclined plane without slipping for...

[A] μ

_{s}≥ tanθ [B] μ_{s}≥ (tanθ)/3 [C] μ_{s}≥ (1/tanθ) [D] μ_{s}≥ (1/3tanθ) - The moment of inertia of a rigid body is...

[A] always constant [B] does not change generally [C] depends on number of particles [D] different for different axes

- Ball A is thrown horizontally and ball B is dropped from the same height at the same moment. Then...

[A] A reaches the ground first [B] B reaches the ground first [C] A has greater speed when it reaches the ground [D] B has greater speed when it reaches the ground

- If for the planets in the solar system, r is the radius of the orbit and T is the periodic time, then the ratio r
^{3}/t^{2}is...

[A] 1 [B] same for all planets [C] more for farther planets [D] less for farther planets

- The adiabatic equation for the ideal gas, PV
^{γ}= constant can also be written as...

[A] PV = γ [B] PT

^{γ}= constant [C] T^{γ}/P^{γ - 1}= constant [D] PV^{γ}T^{γ}= R - In any process, the maximum amount of mechanical energy that can be converted to heat...

[A] depends only on the intake temperature [B] depends only on the exhaust temperature [C] depends on the compression ratio [D] is 100%

- Electrical energy in the form of electric current is converted into _____ when a storage battery is charged.

[A] electrical [B] thermal [C] chemical [D] light

- The power consumed by a resistance that obeys Ohm's law is given by...

[A] P = V

^{2}/R [B] P = V^{2}R [C] P = IR [D] P = IR^{2} - Faraday's constant is...

[A] 96487 coulomb/g [B] 96487 coulomb/mole [C] 964870 coulomb/g [D] 964870 coulomb/mole

- When the lead storage cell is fully charged, its voltage and specific gravity of electrolyte, respectively are...

[A] 2.1 V, 1.825 [B] 1.5 V, 1.825 [C] 2.1 V, 1.285 [D] 1.5 V, 1.285

- A voltmeter should have a very ____ resistance and should be connected in ____.

[A] large, parallel [B] large, series [C] small, parallel [D] small, series

- I
_{1}and I_{2}are currents in primary and secondary coils respectively, of a step-up transformer. Then...

[A] I

_{1}is smaller than I_{2}[B] I_{1}is smaller than or equal to I_{2}[C] I_{1}is greater than I_{2}[D] I_{1}greater than or equal to I_{2} - If A is the area of a coil of N turns rotating with angular speed ω in a uniform magnetic field B, then the instantaneous value of e.m.f. generated in the coil is...

[A] NABω [B] NABω sint [C] NABω sinωt [D] NABω cost

- In an LCR circuit resonance occurs at the frequency for which...

[A] X

_{L}> X_{C}[B] X_{L}< X_{C}[C] X_{L}- X_{C}= 0 [D] X_{L}= 0 - λ (wavelength) of visible light is...

[A] more than λ of ultraviolet light [B] more than λ of infra-red light [C] less than λ of X-rays [D] more than λ of microwaves

- The phase difference between two waves superimposing at a point for destructive interference to occur should be...

[A] nπ [B] 2nπ [C] (2n + 1)π/2 [D] (2n + 1)π

- Diffraction in visible light is harder to observe because of...

[A] low frequencies [B] high velocity [C] visibility [D] short wavelength

- The charge to mass ratio (specific charge) for an electron (in coulomb/kg) is approximately equal to...

[A] 1.76 x 10

^{-11}[B] 1.76 x 10^{11}[C] 1.76 x 10^{-8}[D] 1.76 x 10^{8} - If V
_{s}is the stopping potential and e is the charge on electron, the energy required by the electron to cross over this potential difference is...

[A] V

_{s}/e^{2}[B] V_{s}/e [C] (V_{s})^{2}/e [D] V_{s}. e - The change of energy level is always accompanied by the emission or absorption of radiation depending upon the size of...

[A] the energy change [B] the atom [C] the nucleus [D] the electron

- In the hydrogen spectrum, the series obtained in the ultraviolet region is...

[A] Balmer series [B] Lyman series [C] Paschen series [D] Pfund series

- In an N-type semiconductor...

[A] free electron density exceeds hole density [B] hole density exceeds free electron density [C] free electrons are absent [D] holes are absent

- A diode allows electric current...

[A] to increase [B] to decrease [C] to flow in one direction only [D] to flow alternately in both directions

- Two forces 2i - 3j and _____ have a resultant 5i + 4j.

[A] 7i + j [B] -3i - 7j [C] 3i + 7j [D] 7i + 7j

- If the magnitude of electromagnetic force is 1, the relative strength of strong force is...

[A] 10

^{-2}[B] 10^{-1}[C] 10 [D] 10^{2} - During an interaction of two particles, the changes produced in velocity are always...

[A] constant [B] equal for both particles [C] in opposite directions [D] in direct proportion to their weights

- Which of the following is not a unit of power?

[A] joule.second [B] watt [C] horsepower [D] newton.meter/second

- A 1 kg mass has a P.E. of 1 joule relative to the ground when it is at a height of about...

[A] 0.12 m [B] 1.0 m [C] 9.8 m [D] 32 m

- An object in motion need not have...

[A] velocity [B] momentum [C] K.E. [D] P.E.