Choose the incorrect statement from the following:

Choose the incorrect statement from the following:
  1. The speed of satellite in a given circular orbit remains constant
  2. For a planet revolving around the sun in an elliptical orbit, the total energy of the planet remains constant
  3. The linear speed of a planet revolving around the sun remains constant
  4. When a body falls towards earth, the displacement of earth towards the body is negligible

Solution

A planet revolves round the Sun by the action of the gravitational force between the sun and the planet. Depending up on the distance from the sun in the elliptic orbit, the speed of revolution of the planet changes.

The formula to calculate the linear speed of a planet in an elliptical orbit can be written as

v=GM2r-1a

From the above expression, it can be concluded that the linear speed of the planet is not constant during its revolution.

Asked in: JEE Main 2023 (06 Apr Shift 2)

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