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Question

State the condition under which the body sinks, when it is immersed inside the liquid. Consider ρ to be the density of the block and ρL to be the density of the liquid.


A

ρ > ρL

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B

ρ < ρL

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C

ρ = ρL

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D

ρ ρL

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Solution

The correct option is A

ρ > ρL


The body will sink when the weight of the body is greater than the weight of the displaced liquid. The apparent weight of the body (i.e., the weight of the body inside liquid) will be WFB acting vertically downwards. This is the case when the density ρ of the body is greater than the density ρL of the liquid (i.e.,ρ>ρL).


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