Wave Mechanics Question 724

Question: Standing waves are produced in a 10 m long stretched string. If the string vibrates in 5 segments and the wave velocity is 20 m/s, the frequency is

[CBSE PMT 1997; AIIMS 1998; JIPMER 2000]

Options:

A) 2 Hz

B) 4 Hz

C) 5 Hz

D) 10 Hz

Show Answer

Answer:

Correct Answer: C

Solution:

String vibrates in five segment so $ \frac{5}{2}\lambda =l $

Therefore $ \lambda =\frac{2l}{5} $ Hence $ n=\frac{v}{\lambda }=5\times \frac{v}{2l} $

$ =5\times \frac{20}{2\times 10}=5 $

$ Hz $