Question

At what temperature is the velocity of sound double than that at $0^{\circ }C$?

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

Answer 1

The correct option is B

${819}^{\circ }C$

$V\propto \sqrt{T}$ $\Rightarrow$ $\frac{V_1}{V_2}$ = $\sqrt{\frac{T_1}{T_2}}$ $\Rightarrow$ $\frac{V}{2V}$ = $\sqrt{\frac{273}{T_2}}$ $\Rightarrow$ $T_2$ = ${819}^{\circ }C$