First slide

Speed of wave

Question

The correct graph between the frequency f and square root of density $(ρ)$ of the material of a string keeping its length, radius and tension constant, is

Moderate

A
B
C
D

Solution

$f = \frac{n}{2 l} \sqrt{\frac{T}{μ}} = \frac{n}{2 l} \sqrt{\frac{T}{ρ \times {πr}^{2}}} \Rightarrow f \propto \frac{1}{\sqrt{ρ}}$

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