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Q.

A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with a net acceleration of g/3. The fraction of volume immersed in the liquid will be

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a

3/8

b

3/4

c

2/3

d

1/2

answer is A.

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Detailed Solution

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When the system is at rest,

mBg=ρLVig

Vi=mBρL

When the system is accelerating,

mBg+g3=ρLVi'g+g3

Vi'=mBρL

so, fraction of volume immersed does not change.

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