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JEE Main 2021 (27 Aug, Shift 2) · Gravitational Potential & Energy

Gravitational Potential & Energy question from JEE Main 2021 (27 Aug, Shift 2)

Q18JEE Main 2021 · 27 AUG · SHIFT 2Medium

Gravitational Potential & Energy

A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100 kg and radius 50 m. If the gravitational potential at a point, 25 m from the centre is V kg/m. The value of V is:

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Answer: (d)

Point mass: $V_1 = -\frac{G\times50}{25} = -2G$
Inside the shell (constant): $V_2 = -\frac{G\times100}{50} = -2G$
$V = -2G - 2G = -4G$
So the answer is (d) $-4G$ .

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