wave_mechanics assertion_and_reason Question 13
Assertion : The change in air pressure affects the speed of sound. Reason : The speed of sound in a gas is proportional to the square root of pressure.
Options:
A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
C) If assertion is true but reason is false.
D) If the assertion and reason are both false.
E) If assertion is false but reason is true.
Show Answer
Answer:
Correct Answer: E
Solution:
Speed of sound in gases is independent of pressure because $ v=\sqrt{\frac{\gamma P}{\rho }}.
$ At constant temperature, if P changes then r 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.
BETA
