The frequency of a tuning fork is ' $\mathrm{n}$ ' $\mathrm{Hz}$ and velocity of sound in air is '…
The frequency of a tuning fork is ' $\mathrm{n}$ ' $\mathrm{Hz}$ and velocity of sound in air is ' $\mathrm{V}$ ' $\mathrm{m} / \mathrm{s}$. When the tuning fork complete ' $\mathrm{x}$ ' vibrations, the distance traveled by the wave is
$\frac{V}{\mathrm{xn}}$
$\frac{\mathrm{Vn}}{\mathrm{x}}$
$\frac{\mathrm{xV}}{\mathrm{n}}$
$\frac{\mathrm{x}}{\mathrm{Vn}}$
Solution
Time required for one vibration $=\frac{1}{\mathrm{n}}$
Time required for $x$ vibrations, $t=\frac{x}{n}$
Distance travelled by the wave $=\mathrm{Vt}=\frac{\mathrm{xV}}{\mathrm{n}}$