A tuning fork of frequency 512 Hz is vibrated with a sonometer wire and 6 beats per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is

Question

A tuning fork of frequency 512 Hz is vibrated with a sonometer wire and 6 beats per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is (A) 506 Hz (B) 512 Hz (C) 518 Hz (D) 524 Hz

Tardigrade Admin · Accepted Answer

∵ fstring propto √T , we can conclude from question that ftunig - fstring=6 So fstring = 512 - 6 = 560 Hz

Q. A tuning fork of frequency $512 Hz$ is vibrated with a sonometer wire and $6 b e a t s$ per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is

506 Hz

512 Hz

518 Hz

524 Hz

$∵ f_{s t r in g} \propto T,$ we can conclude from question that
$f_{t u ni g} - f_{s t r in g} = 6$
So $f_{s t r in g} = 512 - 6 = 560 Hz$

Q. A tuning fork of frequency 512Hz is vibrated with a sonometer wire and 6beats per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is