First slide

Travelling wave

Question

The temperature at which the speed of sound in air becomes double of its value at $0^{o} C$ is

Moderate

A

273K
B

546K
C

1092K
D

0K

Solution

$\begin{array}{l} v \propto \sqrt{T} \Rightarrow \sqrt{\frac{T_{2}}{T_{1}}} = \frac{v_{2}}{v_{1}} \Rightarrow T_{2} = T_{1} {(\frac{v_{2}}{v_{1}})}^{2} \\ \Rightarrow T_{2} = 273 \times 4 = 1092 K \end{array}$

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