Question

The figure shows the
experimental setup as to
perform Melde's experiment
with length of the string is
constant. If tuning fork
vibrates with frequency N,
and string vibrates
transversely in one loop. Put
T
=4p
unit and I = Im then the
value of Nis
(T-tension 4-mass per unit
length

​

Answer 1

Given that,

If tuning fork  vibrates with frequency N.

Tension = T

When a string of linear density m under tension T and vibrate in n loops .

The frequency is defined as,

$N=\dfrac{n}{2l}\sqrt{\dfrac{T}{m}}$

If T = 4 p

$l =\dfrac{l}{m}$

We need to calculate the value of N

Using formula of frequency

$N=\dfrac{n}{2l}\sqrt{\dfrac{T}{m}}$

Put the value into the formula

$N=\dfrac{nm}{2l}\sqrt{\dfrac{4p}{m}}$

$N^2=\dfrac{n^2m^2}{4l^2}\times\dfrac{4p}{m}$

$N^2=\dfrac{n^2mp}{l^2}$

$N=\dfrac{n}{l}\sqrt{mp}$

Hence, The value of N is $\dfrac{n}{l}\sqrt{mp}$