Question

State whether the given statement is True or False :

With 1${}^0$C increase in temperature the speed of sound increases by 61 cm/s.

• A. True
• B. False

Answer 1

The correct option is A True

Velocity of sound in air $v\propto \sqrt{T}$
$⟹$ $\frac{v^{\prime }}{v}=\sqrt{\frac{T^{\prime }}{T}}$
Let the initial temperature $T=273K$
Speed of sound in air at $273K$ $v=330m/s$
New temperature $T^{\prime }=273+1=274K$
$\therefore \frac{v^{\prime }}{330}=\sqrt{\frac{274}{273}}$
$⟹$ $v^{\prime }=330.61m/s$
Thus increase in sound $\Delta v=v^{\prime }-v=330.61-330=0.61m/s=61cm/s$