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An object of mass 10 kg is released from rest in a liquid. If the object moves a distance of 2m while sinking in time duration of 1s, then the mass of the liquid displaced by the submerged object is (Acceleration due to gravity $= 10 m s^{- 2}$ )

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4 kg

3 kg

5 kg

6 kg

answer is B.

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Detailed Solution

$s = \frac{1}{2} a t^{2} \Rightarrow 2 = \frac{1}{2} a {(1)}^{2} ∴ a = 4 m / s^{2}$

$m g - F_{b} = m a \Rightarrow F_{b} = m g - m a$

$= 10 \times 10 - 10 \times 4 = 60 = 6 k g$ weight

$∴$ mass of liquid displaced 6 kg

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