Question

A tuning fork vibrates with a frequency of $256 \, Hz$ . Taking the speed of sound to be $345.6 \, m \, s^{- 1}$ in the air, find the wavelength and the distance, which the sound travels during the time, fork makes $60$ vibrations.

• A. $1.35m,81m$
• B. $1.40m,84m$
• C. $1.45m,87m$
• D. $1.55m,93m$

Answer 1

Answer: (A)

Here, $f= \, 256 \, Hz; \, \, \upsilon \, = \, 345.6 \, ms^{- 1}$
$\therefore \, \lambda \, =\frac{\upsilon}{f}=\frac{345.6}{256}=1.35 \, m$
In one cycle, sound advances by distance $\lambda $
Therefore, the required distance travelled by sound,
$S \, = \, 60. \, \lambda \, =81 \, m$