wave_mechanics critical_thinking Question 26

Question: Two identical wires have the same fundamental frequency of 400 Hz. when kept under the same tension. If the tension in one wire is increased by 2% the number of beats produced will be

[JIPMER 1999]

Options:

A) 4

B) 2

C) 8

D) 1

Show Answer

Answer:

Correct Answer: A

Solution:

$ n\propto \sqrt{T} $

Therefore $ \frac{\Delta n}{n}=\frac{1}{2}\frac{\Delta T}{T} $ Beat frequency $ =\Delta n=( \frac{1}{2}\frac{\Delta T}{T} )n=\frac{1}{2}\times \frac{2}{100}\times 400=4 $