Choose the correct alternative:
The formula –G Mm(1/r2– 1/r1) is more/less accurate than the formula mg(r2– r1) for the difference of potential energy between two points r2and r1distance away from the centre of the earth.
Gravitational potential energy of two points r2 and r1 distance away from the centre of the Earth is respectively given by:
`V(r_1) = -(GmM)/r_1`
∴ 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)`
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