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JEE Physics Solved Question Paper 2006

Multiple Choice Questions

11.
A monoatomic gas is suddenly compressed to (1/8) of its initial volume adiabatically. The ratio of its final pressure to the initial pressure is : (Given the ratio of the specific heats of the given gas to be 5/3)

32

40/3

24/5

8

In an adiabatic process,

${PV}^{γ} = constant \Rightarrow \frac{P_{1}}{P_{2}} = {(\frac{V_{2}}{V_{1}})}^{γ} \Rightarrow \frac{P_{1}}{P_{2}} = {(\frac{1}{8})}^{5 / 3} \Rightarrow \frac{P_{1}}{P_{2}} = {(\frac{1}{2^{3}})}^{5 / 3} = \frac{1}{32} ∴ \frac{P_{2}}{P_{1}} = 32$

12.

A Carnot engine takes heat from a reservoir at 627° C and rejects heat to a sink at 27°C. Its efficiency will be

3/5
1/3
2/3
200/209

13.

A tuning fork A produces 4 beats/s with another tuning fork B of frequency 320 Hz. On filing one of the prongs of A,4 beats/s are again heard when sounded with the same fork B. Then, the frequency of the fork A before filing is

328 Hz
316 Hz
324 Hz
320 Hz

14.

When the length of the vibrating segment of a sonometer wire is increased by 1%, the percentage change in its frequency is

$\frac{100}{101}$
$\frac{99}{100}$
1
2

15.

The sprinkling of water reduces slightly the temperature of a closed room because

temperature ofwater is less than that of the room
specific heat of water is high
water has large latent heat of vaporisation
water is a bad conductor of heat

16.

The equation of a simple harmonic wave is given by $y = 5 \sin \frac{π}{2} (100 t - x)$ , where x and y are in metre and time is in second. The period of the wave in second will be

0.04
0.01
1
5

17.

The loudness and pitch of a sound note depends on

intensity and frequency
frequency and number of harmonics
intensity and velocity
frequency and velocity

18.

A rectangular vessel when full ofwater, takes 10 min to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water ?