Q.

A hollow hemisphere has a mass of 8kg and radius of 10cm. Gravitational force on a mass of 8kg at the center of hemisphere is (approx.)

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a

21.6×108N

b

27.7×108N

c

6.6×108N

d

8.8×108N

answer is A.

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Detailed Solution

 Gravitational field intensity at the centre of hollow hemisphere is ,E=GM2R2

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E=G×8210×1022 E=6.67×1011×82×102=26.68×109 E=2.7×108N/kg Gravitational force isF=m×E=8×2.7×108=21.6×108N

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