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). GM4R2−IGM2R2−IGM2R2+I2I−GM2R2

Solution

## The correct option is B GM2R2−IAssume 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=GM2R2−I

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