Question

When a planet revolves around the Sun, in general, for the planet

• A. linear momentum and aerial velocity are constant.
• B. kinetic and potential energy of the planet are constant.
• C. angular momentum about the Sun and aerial velocity of the planet are constant.
• D. linear momentum and linear velocity are constant.

Answer 1

The Correct Option is C

Given: 

A planet revolves around the Sun.

Step 1: Understanding Key Concepts

• Linear Momentum: Changes due to the variation in velocity and direction.
• Angular Momentum: Conserved due to the absence of external torque.
• Areal Velocity: Given by Kepler’s second law, remains constant.
• Kinetic and Potential Energy: They vary as the planet moves in an elliptical orbit.

Step 2: Identifying the Correct Statement

Since angular momentum and areal velocity remain constant:

Correct answer: C (Angular momentum about the Sun and aerial velocity of the planet are constant).