wave_mechanics basics_of_mechanical_waves Question 23

Question: At what temperature velocity of sound is double than that of at 0°C

[RPMT 1999]

Options:

A) 819 K

B) 819°C

C) 600°C

D) 600 K

Show Answer

Answer:

Correct Answer: B

Solution:

$ v\propto \sqrt{T} $

Therefore $ \frac{v _{2}}{v _{1}}=\sqrt{\frac{T _{2}}{T _{1}}} $

Therefore $ 2=\sqrt{\frac{T _{2}}{(273+0)}} $

$ \Rightarrow $ $ T _{2}=273\times 4=1092K=819^{o}C $