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QAIPM-2011-Ph-1820: NEET 2011 Physics - Class 11 AIPM-2011-Ph-1820 Solution: A particle of mass M is situated at the centre of a spherical…

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

Multiple Choice Options

  • A GMa\frac{GM}{a}
  • B 2GMa\frac{2GM}{a}
  • C 3GMa\frac{3GM}{a}
  • D 4GMa\frac{4GM}{a}

Step-by-Step Verified Solution

Here, Mass of a particle = M Mass of a spherical shell = M Radius of a spherical shell = a Let O be centre of a spherical shell. Gravitational potential at point P due to particle at O is V 1 = _ G M a / 2 Gravitational potential at point P due to spherical shell is V 2 = _ G M a Hence, total gravitational potential at point P is V = V 1 + V 2 = _ G M a / 2 + ( _ G M a ) = _ 2 G M a _ G M a = _ 3 G M a | V | = 3 G M a

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