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NEET 2010
Exam
NEET
Year
2010
Subject
Physics
Chapter
Gravitation

NEET 2010 · Physics · Gravitation

A particle of mass M is situated at the centre of a spherical shell...

A particle of mass MM is situated at the centre of a spherical shell of same mass and radius a. The gravitational potential at a point situated at a/ 2 distance from the centre, will be

Options

  1. A−3GMa-\frac{3 G M}{a}
  2. B−2GMa-\frac{2 \mathrm{GM}}{\mathrm{a}}
  3. C−GMa-\frac{\mathrm{GM}}{\mathrm{a}}
  4. D−4GMa-\frac{4 \mathrm{GM}}{\mathrm{a}}

Correct answer

A. −3GMa-\frac{3 G M}{a}

Step-by-step solution

Gravitational potential at point a/2 distance from centre =−GMa−GMa/2=−3GMa\begin{aligned}& =-\frac{\mathrm{GM}}{\mathrm{a}}-\frac{\mathrm{GM}}{\mathrm{a} / 2}\\ & =-\frac{3 \mathrm{GM}}{\mathrm{a}} \end{aligned}
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