Wave Mechanics Question 769

Question: A string of length 2 m is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of 500 Hz then the waves would travel on its with a velocity of

[BCECE 2005]

Options:

A) 125 m/s

B) 250 m/s

C) 500 m/s

D) 1000 m/s

Show Answer

Answer:

Correct Answer: C

Solution:

For string $ \lambda =\frac{2l}{p} $ where p = No. of loops = Order of vibration Hence for forth mode p = 4

Therefore $ \lambda =\frac{l}{2} $ Hence v = nl $ =500\times \frac{2}{2}=500,Hz $