The frequency of a tuning fork is $256\text{Hz}$ . The velocity of sound in air is $344{\text{ms}}^{\text{-1}}$  . The distance travelled (in meters) by the sound during the time in which the tuning fork completes $32$  vibrations is :

Given frequency of turning fork =$256\text{Hz}$

Velocity of sound in air v=$344\text{m/s}$

Time taken to complete one vibration

$T=\frac{1}{F}=\frac{1}{256}$

Total time for 32 vibrations $t=32T$

Distance travelled by sound $S=\text{vt}$

$S=\text{344}\times \text{32T}$  

= $\frac{344\times 32}{256}$

$=43\text{cm}$