Assertion : The change in air pressure affects the speed of sound… - Vidyadip

MCQ

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

A
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
B
If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
C
If the Assertion is correct but Reason is incorrect.
✓
If both the Assertion and Reason are incorrect.

✓

Answer

Correct option: D.

If both the Assertion and Reason are incorrect.

d
Speed of sound in cases is independent of pressure because $v = \sqrt {\frac{{\gamma P}}{P}} $ At constant temperature, if $P$ changes then $\rho $ also changes in such a way that the ratio $\frac{P}{\rho }$ remains constant. Hence there is no effect of the pressure change on the speed of sound.

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