A body floats in a liquid contained in a beaker. If the whole system falls under gravity, then the upthrust on the body due to liquid is :

Zero

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Equal to the weight of the immersed part of the body

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Equal to the weight of the body in liquid

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Equal to the weight of the body in air

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Solution

The correct option is B Equal to the weight of the body in air
There will be no change in the volume unimmersed in the liquid even if the system moves upward or downward with constant velocity or with same acceleration. Therefore, the thrust on the body due to liquid is equal to the weight of the body in air.

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A body of volume V and density $ρ$ is kept completely immersed in a liquid of density $ρ_{L}$ . If g is the acceleration due to gravity, write expressions for the following :
(i) Weight of the body
(ii) The upthrust on the body
(iii) Apparent weight of the body in the liquid
(iv) The loss in weight of the body

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