3-2.Motion in Plane
medium

If the string of a conical pendulum makes an angle $\theta$ with horizontal, then square of its time period is proportional to

A$\sin \theta$
B$\cos \theta$
C$\tan \theta$
D$\cot \theta$

Solution

(a)
For conical pendulum we know that
$T=2 \pi \sqrt{\frac{l \cos \theta}{g}}$
where $\theta$ is the angle from vertical but in question $\theta$ is given from horizontal hence
$T=2 \pi \sqrt{\frac{l \sin \theta}{g}}$
$T^2 \propto \sin \theta$
Standard 11
Physics

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