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Q.

A block is partially immersed in a liquid and the vessel is accelerating upwards with an acceleration ‘a’. The block is observed by two observers O1 and O2 , one at rest and the other accelerating with an acceleration ‘a’ upward. The total buoyant force on the block is

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a

Greater for O2 than O1 

b

Same for O1  and O2

c

Zero for O2

d

Greater for O1 than O2

answer is A.

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Detailed Solution

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FB=VSub ×ρ×g

VS= submerged volume 

VS×ρ×g=mg;VSρ=m

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geff =g+a

Vs×ρ×(g+a)=m(g+a); Vsρ=m

There is no change in FBbecause it is independent of frame of reference.

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