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Q.

A Hollow sphere is filled with water. Which of the following points is the position of C.M. of the system shown in fig

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a

B

b

C

c

A

d

D

answer is C.

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Detailed Solution

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Water inside the sphere is a solid hemisphere of liquid.

For a solid hemisphere, more mass is accumulated near its base. So distance of COM of a solid hemisphere from the centre of base is equal to 3R/8  (R = Radius).

Centre of mass of the system will be at a distance less than 3R/8 from the centre of hollow sphere.

Therefore 'c' is the most appropriate position of COM.

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A Hollow sphere is filled with water. Which of the following points is the position of C.M. of the system shown in fig