MCQ
If the string of a conical pendulum makes an angle $\theta$ with horizontal, then square of its time period is proportional to
  • $\sin \theta$
  • B
    $\cos \theta$
  • C
    $\tan \theta$
  • D
    $\cot \theta$

Answer

Correct option: A.
$\sin \theta$
a
(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

$T=2 \pi \sqrt{\frac{l \sin \theta}{g}}$

$T^2 \propto \sin \theta$

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