In Melde's experiment, 8 loops are formed with a tension of a 0.75N. If the tension is increased to four times then the number of loops produced will be -

Question

In Melde's experiment, 8 loops are formed with a tension of a 0.75N. If the tension is increased to four times then the number of loops produced will be - (A) 4 (B) 8 (C) 2 (D) 12

Tardigrade Admin · Accepted Answer

Melde's experiment is used to analyse the standing waves.
In this experiment,

T p^{2} = Constant

, where

T

is tension in string and

p

is number of loops in the string.

\Rightarrow T_{1} p_{1}^{2} = T_{2} p_{2}^{2} \Rightarrow p_{2}^{2} = \frac{T _{1} p _{1}^{2}}{T _{2}}

As tension is increased to four times,

p_{2}^{2} = \frac{T _{1} p _{1}^{2}}{4 T _{1}} = \frac{p _{1}^{2}}{4} = \frac{8 ^{2}}{4} = 16

\Rightarrow p_{2} = 4

Q. In Melde's experiment, $8$ loops are formed with a tension of a $0.75 N .$ If the tension is increased to four times then the number of loops produced will be -

$4$

$8$

$2$

$12$

Q. In Melde's experiment, 8 loops are formed with a tension of a 0.75N. If the tension is increased to four times then the number of loops produced will be -

4

8

2

12

Q. In Melde's experiment, $8$ loops are formed with a tension of a $0.75 N .$ If the tension is increased to four times then the number of loops produced will be -

$4$

$8$

$2$

$12$