The gravitational potential energy of a body at a distance r from the centre of earth is U. Its weight at a distance 2r from the centre of earth isa) U/rb) U/2rc) U/4rd) U/root[2]r

Hi Arnab,

The Gvt Potential Energy at a distance R is,

U = GMm/r

And weight at distance 2r is

W = GMm/(2r)² = GMm/4r² = U/4r.

Hence Option (C).

Hope this helps.

Best Regards,

Ashwin (IIT Madras).

Approved

no since u=GMm/r

and GM/r2=g                                                 r2 is r square

so GM=gr2

therefore  u=gr2m/r

and mg= w

u=wr                since r2 and r wiil be divedid by each other

now r=2r

so w=u/2r