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Q.

Three spherical shells of masses M, 2M and 3M have radii R, 3R and 4R as shown in figure. Find net potential at point P, where CP=2R

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a

33GM12R

b

-33GM12R

c

23GM12R

d

-23GM12R

answer is B.

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Detailed Solution

Point P lies outside the innermost shell. So, in the denominator we will substitute actual distance of P from the centre or r=CP=2R.

This point P lies inside the other two shells. So, we will substitute their radii, 3R and 4R in the denominator.

VP=-GM2R-G(2M)3R-G(3M)4R=-23GM12R

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