The correct graph between the frequency n and square root of density (ρ) of a wire, keeping its length, radius and tension constant, is

Question

The correct graph between the frequency n and square root of density (ρ) of a wire, keeping its length, radius and tension constant, is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

We know frequency n=(p/2 l) √(T/π r2 ρ) ⇒ n propto (1/√ρ) i.e., graph between n and √ρ will be hyperbola.

Q. The correct graph between the frequency $n$ and square root of density $(ρ)$ of a wire, keeping its length, radius and tension constant, is

We know frequency $n = \frac{p}{2 l} \frac{T}{π r ^{2} ρ}$
$\Rightarrow n \propto \frac{1}{ρ}$
i.e., graph between $n$ and $ρ$ will be hyperbola.

Q. The correct graph between the frequency n and square root of density (ρ) of a wire, keeping its length, radius and tension constant, is

We know frequency n=2lp​πr2ρT​​ ⇒n∝ρ​1​ i.e., graph between n and ρ​ will be hyperbola.

Q. The correct graph between the frequency $n$ and square root of density $(ρ)$ of a wire, keeping its length, radius and tension constant, is

We know frequency $n = \frac{p}{2 l} \frac{T}{π r ^{2} ρ}$
$\Rightarrow n \propto \frac{1}{ρ}$
i.e., graph between $n$ and $ρ$ will be hyperbola.