If absolute temperature of deuterium is made 16 times its normal value, then the speed of the sound waves will increase by a factor of:
Correct answer: A. 16
- A. 16
- B. 8
- C. Speed remains same
- D. None is true
Explanation
If the absolute temperature of deuterium is increased by a factor of 16, the speed of sound waves in deuterium will also increase by the same factor. This is because the speed of sound in a gas is directly proportional to the square root of the absolute temperature. So, if the temperature is increased by 16 times, the speed of sound waves will also increase by the square root of 16, which is 4. Therefore, the speed of sound waves will increase by a factor of 16.
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Wave speed is the rate at which a disturbance or wave pattern travels through a medium, given by v = fλ, where f is frequency and λ is wavelength. Questions examine how speed changes between media, the relation among frequency, wavelength and period, and why wave speed is not the same as particle vibration speed.
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