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

21.6×10−8N

b

27.7×10−8N

c

6.6×10−8N

d

8.8×10−8N

answer is A.

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Detailed Solution

Gravitational field intensity at the centre of hollow hemisphere is ,E=GM2R2E=G×8210×10−22 E=6.67×10−11×82×10−2=26.68×10−9 E=2.7×10−8N/kg ∴Gravitational force isF=m×E=8×2.7×10−8=21.6×10−8N
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