1. A water pipe vibrates at a frequency of 10 Hz with a displacement of 0.5 cm. The peak acceleration apeak will be:
(a) 2 𝑔
(b) 3 𝑔
(c) 4 𝑔
(d) 5 𝑔
(b) 3 𝑔
(c) 4 𝑔
(d) 5 𝑔
Answer: (a)
2. The velocity of EM radiation in the glass for an index of refraction of 𝑛 =1.57 will be nearly:
![](data:image/png;base64,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)
Answer: (d)
3. The atoms on one side of the boundary are located in the mirror-image positions of the atoms on the other side, is called:
(a) Twin boundary
(b) Twist boundary
(c) Tilt boundary
(d) Angle grain boundary
(a) Twin boundary
(b) Twist boundary
(c) Tilt boundary
(d) Angle grain boundary
Answer: (a)
4. Which one of the following pyrometers is designed to collect the radiation extending from the visible through the infrared wavelengths?
(a) Broad band Pyrometer
(b) Total Radiation Pyrometer
(c) Narrow band Pyrometer
(d) Optical Pyrometer
(a) Broad band Pyrometer
(b) Total Radiation Pyrometer
(c) Narrow band Pyrometer
(d) Optical Pyrometer
Answer: (b)
5. Hydrothermal reservoirs refer to:
(a) Hot water stored in a natural dam
(b) Large pools of steam or hot water trapped in porous rocks
(c) Molten rock found below earth’s crust
(d) Heat contained in shallow ground
(b) Large pools of steam or hot water trapped in porous rocks
(c) Molten rock found below earth’s crust
(d) Heat contained in shallow ground
Answer: (b)
6.
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)
Answer: (b)
7.
Answer: (c)
8. A cold storage is to be maintained at −5°𝐶, while the surrounding temperature is 35°𝐶𝐶. The heat leakage from the surroundings into the storage is estimated to be 29 kW. The actual COP of the refrigeration plant is 1/3 that of an ideal plant. The power required to drive the plant is:
(a) 19 kW
(b) 17 kW
(c) 15 kW
(d) 13 kW
(a) 19 kW
(b) 17 kW
(c) 15 kW
(d) 13 kW
Answer: (d)
9. What is the correct sequence of the following substances in the increasing order with their triple point temperature?
(a) Nitrogen < Hydrogen < Oxygen < Argon < Water
(b) Hydrogen < Argon < Nitrogen < Oxygen < Water
(c) Nitrogen < Oxygen < Hydrogen < Argon < Water
(d) Hydrogen < Oxygen < Nitrogen < Argon < Water
(a) Nitrogen < Hydrogen < Oxygen < Argon < Water
(b) Hydrogen < Argon < Nitrogen < Oxygen < Water
(c) Nitrogen < Oxygen < Hydrogen < Argon < Water
(d) Hydrogen < Oxygen < Nitrogen < Argon < Water
Answer: (d)
10. In the Orsat apparatus the relative proportions of the measured three gases are:
![](data:image/png;base64,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)
Answer: (a)
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