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.

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

Tardigrade Admin · Accepted Answer

Here, f= 256 Hz; upsilon = 345.6 ms- 1 ∴ λ =( upsilon/f)=(345.6/256)=1.35 m In one cycle, sound advances by distance λ Therefore, the required distance travelled by sound, S = 60. λ =81 m

Q. 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.

$1.35 m, 81 m$

$1.40 m, 84 m$

$1.45 m, 87 m$

$1.55 m, 93 m$

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

Q. A tuning fork vibrates with a frequency of 256Hz . Taking the speed of sound to be 345.6ms−1 in the air, find the wavelength and the distance, which the sound travels during the time, fork makes 60 vibrations.

1.35m,81m

1.40m,84m

1.45m,87m

1.55m,93m