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Physics Question on Oscillations

A simple pendulum of length L has been set up inside a railway wagon sliding down a frictionless inclined plane of inclination θ\theta with the horizontal. its period of oscillation as recorded by an observer inside the wagon is

A

2πLg cosθ2\pi\sqrt\frac{L}{g\,cos\theta}

B

Lg{\sqrt \frac{L}{g}}

C

2πLg Sinθ2\pi\sqrt\frac{L}{g\,Sin\theta}

D

2πLCosθg2\pi\sqrt\frac{LCos\theta}{g}

Answer

2πLg cosθ2\pi\sqrt\frac{L}{g\,cos\theta}

Explanation

Solution

Answer (a) 2πLg cosθ2\pi\sqrt\frac{L}{g\,cos\theta}