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The velocity of sound in air would become double than its velocity at 0°C at temperature________________?

Correct answer: C. 819°C

  • A. 313°C
  • B. 586°C
  • C. 819°C
  • D. 1172°C

Explanation

For a gas, sound speed is proportional to the square root of absolute temperature. To double the speed, the absolute temperature must become four times its value at 0 °C: 4 x 273 K = 1092 K, which corresponds to 1092 K - 273 K = 819 °C. The likely mistake is 313 °C, which treats the Celsius temperature change as directly proportional to speed rather than using absolute temperature and the square-root relation.

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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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