A tuning fork of 200Hz is in unioson with sonometer wire. If percentag increase in tension of wire is 1,then percentage change in frequency is???

Feb 26, 2018

Frequency increases by 0.49875%

Explanation:

Assuming fundamental modes of vibration, frequency of a string is gicven by:

f=$\frac{\sqrt{\frac{T}{\frac{m}{L}}}}{2 \cdot L}$ where

T= string tension,
m= mass of string
L= length of string

So basically if m and L are constant

f =$k \cdot \sqrt{T}$ wher k is a constant

If T changes from 1 to 1.01 ( 1% inccease)
F increase by $\sqrt{1.01}$ =1.0049875
That is a 0.49875% increase.