14.Waves and Sound
normal

કોઇ દોરીના ત્રણ ટુકડાઓ કરવાથી તેના ટુકડાઓની આવૃત્તિઓ ક્રમશ: $n_1,n_2$ તથા $n_3$ હોય,તો આ દોરીની $n$આવૃત્તિ માટે ________ સંબંઘ હશે.

A

$n=n_1+n_2+n_3$

B

$\sqrt {{n_{}}} $=$\sqrt {{n_1}} + \sqrt {{n_2}} $+$\sqrt {{n_3}} $

C

$\frac{1}{n}$ =$\frac{1}{{{n_1}}}$ + $\frac{1}{{{n_2}}}$ +$\frac{1}{{{n_3}}}$

D

$\frac{1}{{\sqrt {{n_{}}} }}$=$\frac{1}{{\sqrt {{n_1}} }}$+$\frac{1}{{\sqrt {{n_2}} }} + \frac{1}{{\sqrt {{n_3}} }}$

Solution

$n_1=\frac{1}{21} \sqrt{\frac{T}{\mu}}$

$n_2=\frac{1}{2 l _2} \sqrt{\frac{T}{\mu}}$

$n_3=\frac{1}{2 l_3} \sqrt{\frac{T}{\mu}}$

$n=\frac{1}{21} \sqrt{\frac{I}{k}}$

$1=1_1+1_2+1_3$

$\frac{1}{n_2}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}$

Standard 11
Physics

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