Assertion: The change in air pressure effects the speed of sound.
Reason: The speed of sound in gases is proportional to the square of pressure.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If both assertion and reason are false.

Answer

B

Explanation

Speed of sound=`sqrt((gammaP)/rho)`
For a given gas, if `rho` remains same, the velocity would increase with increase in pressure. But at constant temperature, change in pressure is accompanied by change in volume. So, `P/rho` remains constant.
The correct reason is that P and `rho` vary in the same manner and the velocity of sound depends upon the ratio `p/rho`