Infinite number of masses each of 2 kg ...

Infinite number of masses each of 2 kg are placed along x-axis at distance 1m, 2m, 4m, 8m …….. from the origin O, what is the magnitude of gravitational potential at 'O'? (G = gravitational constant) :

`-G`

`-2G`

`-3G`

`-4G`.

Verified by Experts

The correct Answer is:

`V=V_(1)+V_(2)+V_(3)+…………….`
`=-GM[(1)/(1)+(1)/(2)+(1)/(4)+(1)/(8)+………….]`
`=-GM[(1)/(1-(1)/(2))]=-GMxx2=-Gxx2xx2=-4G`
Thus correct choice is (d).

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