Wave Mechanics Vibration Of String Question 27

Question: The length of a sonometer wire tuned to a frequency of 250 Hz is 0.60 metre. The frequency of tuning fork with which the vibrating wire will be in tune when the length is made 0.40 metre is

[JIPMER 2002]

Options:

A) 250 Hz

B) 375 Hz

C) 256 Hz

D) 384 Hz

Show Answer

Answer:

Correct Answer: B

Solution:

$ n _{1}l _{1}=n _{2}l _{2}\Rightarrow 250\times 0.6=n _{2}\times 0.4\Rightarrow n _{2}=375 $
$ \Rightarrow n _{2}=375Hz $