16. A solid weighs 4.8g in air, 2.8g in water and 3.2g in Kerosine. The ratio of density of the solid to that of the kerosine is
- A. 2
- B. 3/2
- C. 2/3
- D. 3
Correct Option: Answer is D
17. One of the following readings represents the measurement of the length of a metal rod using vernier callipers. Taking the reading accuracy into consideration, the most likely one is
- A. 5.16cm
- B. 5.165cm
- C. 5.0cm
- D. 5.160cm
Correct Option: Answer is A
18. When a sound wave passes from air into water its
- A. speed and frequency increases but its wavelength remains the same
- B. speed and wavelength increases but its frequency remains the same
- C. speed decreases
- D. speed increases but its frequency and wavelength decreases
Correct Option: Answer is B
19. A convex mirror is used as a driving mirror because
I. its image is erect
II. It has a large field of view
III. It has a long focal length
Identify the CORRECT statement(s)
- A. I and III only
- B. I and II only
- C. II and IIII only
- D. I, II and III only
Correct Option: Answer is B
20. Two mirrors of the same length are arranges as show in the diagram. A ray of light NO strikes the system at O and emerges along PQ. The emergent ray has been deviated through
- A. 220o
- B. 200o
- C. 210o
- D. 180o
Correct Option: Answer is D
Deviation angle
= θ1+θ2= 50 + 50 + 40 + 40
= 180o
21. A magnetic needle is suspended first at the earth’s north magnetic pole and then at a point on the magnetic equator. The respective angles between the needle and the horizontal are
- A. 0o and 0o
- B. 60o and 60o
- C. 90o and 90o
- D. 90o and 0o
Correct Option: Answer is D
22. A hydrometer is an instrument for measuring the
- A. a depth of water of water in a vessel
- B. relative density of a liquid by the method of flotation
- C. relative density of a liquid by finding the apparent loss in weight
- D. relative humidity of the air
Correct Option: Answer is B
23. Consider the three forces acting at O and in equilibrium as shown in the figure. Which of the following equations is/are CORRECT?
- P1cos θ1 = p1 cos θ2
- P3= P1cos θ4 + P2cos2
III. P1sinθ1=P2sinθ2
- A. I only
- B. II only
- C. III only
- D. I, II and III only
Correct Option: Answer is C
24. The refractive index of a liquid is 1.5. If the velocity of light in vacuum is 3.0 x 108ms−1, the velocity of light in the liquid is
- A. 1.5 x 108ms−1
- B. 2.0 x 108ms−1
- C. 3.0 x 108ms−1
- D. 4.5 x 108ms−1
Correct Option: Answer is B
25. A ship travelling towards a cliff receives the echo of its whistle after 3.5 seconds. A short while later, it receives the echo after 2.5 seconds. If the speed of sound in air under the prevailing condition is 250ms -1, how much closer is the ship to the cliff?
- A. 10m
- B. 350m
- C. 175m
- D. 125m
Correct Option: Answer is D
Difference in time = 1 sec
echo time = 1 ÷ 2 = 0.5 sec
Difference of cliff from ship = 0.5 x 250
= 125m
26. Which of the following statements about defects of vision is/are CORRECT?
- For a long sighted person, close objects appear blurred
- For a short sighted person, distant objects appear blurred
III. Short sight is corrected by using a pair of converging lenses
- A. I only
- B. II only
- C. I and II only
- D. II and III only
Correct Option: Answer is C
27. Which of the following conditions are necessary and sufficient for total internal reflection to take place at the boundary between two optical media?
- Light is passing from optical denser medium to optically less dense medium
- Light is passing from optically less dense medium to optically denser medium
III. Angle of incidence is greater than a certain critical value
- Angle of incidence is lesser than a certain critical value
- A. I and II only
- B. II only III only
- C. III and IV only
- D. I and III only
Correct Option: Answer is D
28. The linear expansivity of brass is 2 x 10−5oC−1. If the volume of piece of brass is 10cm3at 0o What will be its volume at 100oC?
- A. 10.06cm3
- B. 10.04 cm3
- C. 10.02 cm3
- D. 10.20 cm3
Correct Option: Answer is A
29. The lower and upper fixed points marked on a Mercury-in-glass thermometer are 210mm apart. The end of the mercury column in the tube is 49mm above the lower fixed point in a room. What is the temperature of the room in degrees Celsius?
- A. 55.3oC
- B. 23.3oC
- C. 49.0oC
- D. 16.43oC
Correct Option: Answer is B
30. Heat is supplied uniformly at the rate of 100W to 1.0 x 10−2kg of a liquid for 20 seconds. If the temperature of the liquid rises by 5oC, then the specific heat capacity of the liquid is
- A. 2.0 x 1022Jkg−1K−1
- B. 2.0 x 1022Jkg−1
- C. 4.0 x 1044Jkg−1−1K−1
- D. 4.0 x 1044Jkg−1