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Two concentric spherical shells A and B ...

Two concentric spherical shells `A` and `B` of radii `R` and `2R` and mases `4M`, and `M`, respectively are placed in space as shown in Fig. The gravitational potential at `P` at a distance `r(R lt r lt 2R)`from the centre of shells is

A

`-(4GM)/(R )`

B

`-(9GM)/(2R)`

C

`-(4GM)/(3R)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Point `P` is outside the spherical shell `A` and inside the spherical shell `B`. So potential at point `P` is given by
`V_(P) =` potential due to shell `A`
+ potential due to shell `B`
`= - (G xx 4M)/(r ) - (GM)/(2R) = - GM [(4)/(r ) + (1)/(2R)]`
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