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Concepts Of Physics MCQ Edition [Volume 1]PhysicsGravitation

When viewed from the sun, which of the following quantities stays constant during planetary motion (assuming elliptical orbits)?

Options

  1. AAngular momentum
  2. BKinetic energy
  3. CSpeed
  4. DAngular speed

Correct answer

A. Angular momentum

Step-by-step solution

The gravitational force acting on a planet is a central force directed towards the sun. The torque about the sun is given by = r F . Since the force F is along the position vector r , the cross product is zero, yielding = 0 . According to the law of conservation of angular momentum, if the net external torque acting on a system is zero, its angular momentum remains constant. In an elliptical orbit, the distance r between the planet and the sun changes. Since angular momentum L = mvr = mr^2 is constant, the speed v

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