Question

The temperature at which the speed of sound in airbecomes double of its value at $0^{\circ }C$ is

• A. $273K$
• B. $546K$
• C. $1092K$
• D. $0K$

Answer 1

Answer: (C)

$1092K$

The velocity of sound and temperature are related as:

$v\propto \sqrt{T}$

$\Rightarrow \sqrt{\frac{T_2}{T_1}}=\frac{v_2}{v_1}$

$\Rightarrow T_2=T_1{\left(\frac{v_2}{v_1}\right)}^2$

$\Rightarrow T_2=273\times 4=1092K$