List of top Physics Questions on Satellite Motion and Angular Momentum asked in JEE Main

A planet \(P_1\) is moving around a star of mass \(2M\) in an orbit of radius \(R\). Another planet \(P_2\) is moving around another star of mass \(4M\) in an orbit of radius \(2R\). The ratio of time periods of revolution of \(P_2\) and \(P_1\) is:
If the string connecting \( m \) and the ground is cut, find the speed with which the \( 2m \) block hits the ground as shown. \( g = 10 \, \text{m/s}^2 \)
A satellite of mass \( \frac{M}{2} \) is revolving around Earth in a circular orbit at a height of \( \frac{R}{3} \) from the Earth's surface. The angular momentum of the satellite is \( M \sqrt{\frac{GM R}{x}} \). The value of \( x \) is: