Wave Mechanics Question 852
Question: It takes 2.0 seconds for a sound wave to travel between two fixed points when the day temperature is $ 10^{o} $ C. If the temperature rise to $ 30^{o} $ C the sound wave travels between the same fixed parts in
[Orissa JEE 2003]
Options:
A) 1.9 sec
B) 2.0 sec
C) 2.1 sec
D) 2.2 sec
Show Answer
Answer:
Correct Answer: A
Solution:
Suppose the distance between two fixed points is d then $ t=\frac{d}{v}\text{also }v\propto \sqrt{T}\Rightarrow \frac{t _{1}}{t _{2}}=\frac{v _{2}}{v _{1}}=\sqrt{\frac{T _{2}}{T _{1}}} $
Therefore $ \frac{2}{t _{2}}=\sqrt{\frac{303}{283}} $
$ \Rightarrow $ $ t _{2} $ = 1.9 sec.
BETA
