13.Oscillations
medium

સેકન્ડ લોલકની લંબાઈ $\frac{1}{3}$ કરતાં તેનો આવર્તકાળ કેટલો થાય ?

Option A
Option B
Option C
Option D

Solution

$\frac{2}{\sqrt{3}}\,s$

સેકન્ડ લોલકનો આવર્તકાળ $T _{1}=2 s$

$T =2 \pi \sqrt{\frac{l}{g}}$ માં $2 \pi, g$ અચળ

$\therefore T \propto \sqrt{l}$

$\therefore \frac{ T _{2}}{ T _{1}}=\sqrt{\frac{l_{2}}{l_{1}}}=\sqrt{\frac{l_{1}}{3 \times l_{1}}}=\frac{1}{\sqrt{3}}\left[\because l_{2}=\frac{l_{1}}{3}\right]$

$\therefore T _{2}=\frac{ T _{1}}{\sqrt{3}}=\frac{2}{\sqrt{3}} s$

Standard 11
Physics

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