The frequency of a sonometer wire is 100 Hz. | vedclass

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Question

(b)

As we know, frequency

$f \propto \sqrt{m g}$ or $f \propto \sqrt{g}$

In water, $f _{ w }=0.8 f _{ air }$

$\frac{ g ^{\prime}}{ g }(0.8

Vedclass · Accepted Answer

$1.77$

Vedclass · Answer

(b)

As we know, frequency

$f \propto \sqrt{m g}$ or $f \propto \sqrt{g}$

In water, $f _{ w }=0.8 f _{ air }$

$\frac{ g ^{\prime}}{ g }(0.8)^2=0.64$

$\Rightarrow 1-\frac{ho_{ w }}{ho_{ m }}=0.64$

$\Rightarrow \frac{ho_{ W }}{ho_{ m }}=0.36$

In liquid, $\frac{ g ^{\prime}}{ g }=(0.6)^2=0.36$

$1-\frac{ho_1}{ho_{ m }}=0.36 \frac{ho_1}{ho_{ m }}=0.64$

From eq. $(1)$ and $(2)$

$\frac{ho_l}{ho_n}=\frac{0.64}{0.36} \quad 	herefore \quad ho_l=1.77$

The frequency of a sonometer wire is $100 Hz$. When the weights producing the tensions are completely immersed in water, the frequency becomes $80 Hz$ and on immersing the weights in a certain liquid, the frequency becomes $60 Hz$. The specific gravity of the liquid is

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