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Question

If gravitational field due to uniform thin hemispherical shell at point P is I, then the magnitude of gravitational field at Q is (Mass of hemisphere is M, radius R).


  1. GM4R2I
  2. GM2R2I
  3. GM2R2+I
  4. 2IGM2R2


Solution

The correct option is B GM2R2I
Assume another thin hemispherical shell of same mass and radius as shown in the figure
Due to symmetry

|Gravitational field due to 2nd at P| = |Gravitational field due to 1st at Q|

At P gravitational field due to 1st + gravitational field due to 2nd=G(2M)4R2=GM2R2
I+I2nd=GM2R2
Gravitational field due to 2nd at P=GM2R2I

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