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Q.

Figure shows two concentric spherical shells of masses M₁ and M₂ and of radii R₁ and R₂, respectively. Gravitational potential at a point at a distance x from centre such that R₁ < x <R₂, will be:

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a

$\frac{- {GM}_{2}}{R_{2}}$

b

$- G (\frac{M_{1}}{R_{1}} + \frac{M_{2}}{x})$

c

$- G (\frac{M_{1}}{x} + \frac{M_{2}}{R_{1}})$

d

$- G (\frac{M_{1}}{x} + \frac{M_{2}}{R_{2}})$

answer is D.

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Detailed Solution

$V_{x} = - \frac{{GM}_{1}}{x} - \frac{{GM}_{2}}{R_{2}} = - G (\frac{M_{1}}{x} + \frac{M_{2}}{R_{2}})$

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Figure shows two concentric spherical shells of masses M1 and M2 and of radii R1 and R2, respectively. Gravitational potential at a point at a distance x from centre such that R1 < x <R2, will be: