A simple pendulum doing small oscillations at a place R height above earth surface has time period of \({T}_{1}=4\mathrm{s}\). \({T}_{2}\) would be it's time period if it is brought to a point which is at a height 2R from earth surface. Choose the correct relation [R = radius of earth]:

[JEE Main 2024, 05 Apr (Shift 1)]

Question

A simple pendulum doing small oscillations at a place R height above earth surface has time period of \({T}_{1}=4\mathrm{s}\). \({T}_{2}\) would be it's time period if it is brought to a point which is at a height 2R from earth surface. Choose the correct relation [R = radius of earth]:

[JEE Main 2024, 05 Apr (Shift 1)]

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