Gravitation+SHM

There is an isolated planet having mass \(2M\) and radius \(2R\) where \(M\) and \(R\) are the mass and radius of the earth. A simple pendulum having mass \(m\) and length \(2R\) is made to small oscillations on the planet. Find the time period of \(SHM\) of pendulum in seconds

Details and Assumptions

take \(\pi=3.00~~,g=10m/s^{2}~~,\sqrt{2}=1.41~~R=6400~km \)

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