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13.Oscillations
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A lift is descending with acceleration $g/3$ . What will be the time period of a simple pendulum suspended from its ceiling if its time period in staionary life is $'T'$ ?
A
$\frac {T}{2}$
B
$\sqrt {\frac{3}{2}} T$
C
$\frac{{\sqrt {3T} }}{2}$
D
$\frac {T}{4}$
Solution
$g_{e f f}=g-\frac{g}{3}=\frac{2 g}{3}$
$\mathrm{T}^{\prime}=2 \pi \sqrt{\frac{\ell}{\mathrm{g}_{\mathrm{eff}}}}=2 \pi \sqrt{\frac{\ell}{2 \mathrm{g} / 3}}=2 \pi \sqrt{\frac{3 \ell}{2 \mathrm{g}}}$
$\mathrm{T}^{\prime}=\sqrt{\frac{3}{2}} \mathrm{T}$
Standard 11
Physics