What is the ratio of the velocity of sound at 4 atmosphere to that at 1 atmosphere?
Correct answer: B. 1 : 1
- A. 4 : 1
- B. 1 : 1
- C. 2 : 1
- D. 1 : 2Educational Resources
Explanation
For a gas at constant temperature, the speed of sound is independent of pressure because v = √(γRT/M), which contains temperature and gas properties but not pressure. Therefore, the ratio is 1 atmosphere : 1 atmosphere = 1 : 1. The likely choice is a, from incorrectly assuming that speed changes directly with pressure.
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About Speed of Sound
The speed of sound depends on the properties of the medium, including its elasticity and density, and in gases it varies mainly with temperature. Questions connect speed with frequency and wavelength, compare sound in solids, liquids and gases, and distinguish the speed of propagation from the oscillating particles' motion.
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