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Intensity of gravitational field due to a spherical shell at any point at a distance r from the centre of the sphere inside the sphere will be equal to -

Option: 1

\frac{Gm}{R^2}


Option: 2

\frac{Gm}{}R


Option: 3

\frac{Gm}{r^2}


Option: 4

zero


Answers (1)

best_answer

As we have learnt,

Gravitational field Intensity due to spherical shell/hollow sphere -

For Spherical shell

R\rightarrow Radius of shell

r\rightarrow Position of Pt.

M\rightarrow Mass of spherical shell

  • Inside the surface 

  r<R

I=0

  • on the surface

r=R

I= \frac{GM}{R^{2}}

  • Outside the surface r>R

       I= \frac{GM}{r^{2}}

 So , Intensity due to a spherical shell at inside points is always zero.

Posted by

Devendra Khairwa

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