Wave Mechanics Question 8
Assertion : Sound would travel faster on a hot summer day than on a cold winter day. Reason : Velocity of sound is directly proportional to the square root of its absolute temperature.
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: C
Solution:
The velocity of sound in a gas is directly proportional to the square root of its absolute temperature (as $ v=\sqrt{\frac{\gamma RT}{M}} $ ). Since the temperature of a hot day is higher than that of a cold winter day,
Therefore sound would travel faster on a hot summer day than on a cold winter day.
BETA
