the gravitational field strength at point p due to uniform solid hemisphere of mass M and radius R is E then the gravitational field strength at point Q is
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The gravitational field at P and Q due to the whole sphere is given as
4R
2
GM
.
As the gravitational field due to the hemispherical shell at point P is I, using symmetry the gravitational field due to the imaginary hemispherical shell at point Q would also be I.
Thus the gravitational field due to the given hemisphere at point Q will be
(Gravitational field due to whole sphere at Q)-(Gravitational field due to imaginary hemisphere at Q)
=
4R
2
GM
−I
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