Choose the correct alternative:

The formula –*G Mm*(1/*r*_{2}– 1/*r*_{1}) is more/less accurate than the formula *mg*(*r*_{2}– *r*_{1}) for the difference of potential energy between two points *r*_{2}and *r*_{1}distance away from the centre of the earth.

Advertisement Remove all ads

#### Solution

More

Gravitational potential energy of two points *r*_{2} and *r*_{1} distance away from the centre of the Earth is respectively given by:

`V(r_1) = -(GmM)/r_1`

`V(r_2) =-(GmM)/r_2`

∴ Different in potential energy , `V = V(r_2) - V(r_1) = -GmM(1/r_2 - 1/r_1)`

Hence this formula is more accurate than the formula `mg(r_2-r_1)`

Concept: Gravitational Potential Energy

Is there an error in this question or solution?

#### APPEARS IN

Advertisement Remove all ads