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Physics
As shown in figure a simple harmonic motion oscillator having identical four springs has time period
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Q. As shown in figure a simple harmonic motion oscillator having identical four springs has time period
NEET
NEET 2022
A
$T=2 \pi \sqrt{\frac{m}{4 k}}$
B
$T=2 \pi \sqrt{\frac{m}{2 k}}$
C
$T=2 \pi \sqrt{\frac{m}{k}}$
D
$T=2 \pi \sqrt{\frac{m}{8 k}}$
Solution:
$k_1$ and $k_2$ are parallel and $k_3$ and $k_4$ are parallel. The two combinations are in series with each other
$k_1+k_2=2 k$
$k_3+k_4=4 k$
$\frac{1}{k_{ eq }}=\frac{1}{2 k}+\frac{1}{2 k}$
$k_{ eq }=k$
$T=2 \pi \sqrt{\frac{m}{k}}$