Question

The earth's gravitational force field is said to be conservative force field because

• A. The value of gravitational force rise fixed
• B. The direction of gravitational force is fixed
• C. The work acted by the earth's gravitational field on a particle is independent on the path traced out by the particle
• D. The work acted by the earth's gravitational field will cause same path for all particles irrespective of their mass

Answer 1

The correct option is C The work acted by the earth's gravitational field on a particle is independent on the path traced out by the particle

$Answer:-$ C

A conservative force is a force with the property that the work done in moving a particle between two points is independent of the taken path.

If you take it directly along this green line (in diagram) than also work is equal to mgh and if ypu take it along that blue line( in diagram) than also work is mgh, so independent of path.