A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance '3a' from the centre will be :

  • Option 1)

     \frac{2GM}{9a^{2}}

  • Option 2)

     \frac{GM}{9a^{2}}

  • Option 3)

     \frac{GM}{3a^{2}}

  • Option 4)

     \frac{2GM}{3a^{2}}

 

Answers (1)

 

g=\frac{GM}{\left ( 3a \right )^{2}} +\frac{G\left ( 2M \right )}{\left ( 3a \right )^{2}}

g=\frac{3Gm}{9a^{2}}

    =\frac{Gm}{3a^{2}}

 


Option 1)

 \frac{2GM}{9a^{2}}

Option 2)

 \frac{GM}{9a^{2}}

Option 3)

 \frac{GM}{3a^{2}}

Option 4)

 \frac{2GM}{3a^{2}}

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