Question

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???

Answer 1

Frequency increases by 0.49875%

Explanation:

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

f=`sqrt(T/(m/L))/(2*L)` where

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

So basically if m and L are constant

f =`k * 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.