In a sonometer wire, tension is maintained by suspending a 50.7 kg mass from free end of wire. suspe

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14.Waves and Sound

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In a sonometer wire, the tension is maintained by suspending a $50.7 kg$ mass from the free end of the wire. The suspended mass has a volume of $ 0.0075 \, m^3$. The fundamental frequency of the wire is $260 Hz$. If the suspended mass is completely submerged in water, the fundamental frequency will become .... $Hz$ (take $g = 10 ms^{-2}$)

A

$240$

B

$230$

C

$220$

D

$200$

Solution

$n = \frac{p}{{2l}}\sqrt {\frac{T}{m}} \propto \sqrt T $

$\Rightarrow$$\frac{{{n_1}}}{{{n_2}}} = \sqrt {\frac{{{T_1}}}{{{T_2}}}} $

$\Rightarrow$$\frac{{260}}{{{n_2}}} = \sqrt {\frac{{50.7g}}{{(50.7 – 0.0075 \times {{10}^3})g}}} $

$\Rightarrow$${n_2} \approx 240$

Standard 11

Physics

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(AIEEE-2003)