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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Gravitation

NEET 2011 · Physics · Gravitation

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

A particle of mass MM is situated at the centre of spherical shell of mass and radius aa. The magnitude of the gravitational potential at a point situated at a2\frac{a}{2} distance from the centre, will beA particle of mass M is situated at the centre of spherical shell of mass and radius a . The magnitude of theA particle of mass M is situated at the centre of spherical shell of mass and radius a . The magnitude of the

Options

  1. A2GMa\frac{2 G M}{a}
  2. B3GMa\frac{3 G M}{a}
  3. C4GMa\frac{4 G M}{a}
  4. DGMa\frac{G M}{a}

Correct answer

B. 3GMa\frac{3 G M}{a}

Step-by-step solution

VP=Vsphere +Vpartical V_P=V_{\text{sphere }}+V_{\text{partical }} A particle of mass M is situated at the centre of spherical shell of mass and radius a . The magnitude of the
VP=GMa+GMa/2V=GMa+2GMaVP=3GMa\begin{aligned}& V_P=\frac{G M}{a}+\frac{G M}{a / 2}\\ & V=\frac{G M}{a}+\frac{2 G M}{a}\\ & V_P=\frac{3 G M}{a} \end{aligned}
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