A simple pendulum doing small oscillations at a place \( R \) height above earth surface has time period of \( T_{1} = 4 \, \text{s} \). \( T_{2} \) 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 \([R = \text{radius of earth}]\):
