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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 $O_{1}$ and $O_{2}$ , one at rest and the other accelerating with an acceleration ‘a’ upward. The total buoyant force on the block is

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Greater for $O_{2}$ than $O_{1}$

Same for $O_{1}$ and $O_{2}$

Zero for $O_{2}$

Greater for $O_{1}$ than $O_{2}$

answer is A.

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Detailed Solution

$F_{B} = V_{Sub} \times ρ \times g$

$V_{S} = submerged volume$

$V_{S} \times ρ \times g = mg; V_{S} ρ = m$

$g_{eff} = g + a$

$V_{s} \times ρ \times (g + a) = m (g + a); V_{s} ρ = m$

There is no change in $F_{B}$ because it is independent of frame of reference.

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