Question

At what temperature velocity of sound id double than that of at $0^{\circ }$

• A. 819 K
• B. ${819}^{\circ }C$
• C. ${600}^{\circ }C$
• D. 600 K

Answer 1

Answer: (B)

${819}^{\circ }C$

We know that the velocity is related to temperature as:

) $v\propto \sqrt{T}$

$\Rightarrow \frac{v_2}{v_1}=\sqrt{\frac{T_2}{T_1}}\Rightarrow 2=\sqrt{\frac{T_2}{(273+0)}}$

$\Rightarrow T_2=273\times 4=1092K={819}^{\circ }C$