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Question

Speed of sound at constant temperature depends on

A
Pressure
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B
Density of gas
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C
Both of the above
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D
None of the above
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Solution

The correct option is D None of the above
For a given ideal gas the sound speed depends only on its temperature. At a constant temperature, the ideal gas pressure and density have no effect on the speed of sound, because pressure and density (also proportional to pressure) have equal but opposite effects on the speed of sound, and the two contributions cancel out exactly. hence Option D. is the correct option.

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