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Question

Fig shows the same block of wood floating in three different liquids A,B and C of denisties ρ1,ρ2 and ρ3 respectively. Which of the liquid has the highest density? Give reason for your answer.
201901_23640a161b7342728ea7bfa182d8a08b.png

A
A
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B
B
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C
C
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D
All have the same density
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Solution

The correct option is D C
The upthrust on the body by each liquid is same and it is equal to the weight of body. But upthrust=volume submerged×ρl×g. For liquid C, since volume submerged is least so denisty ρ3 must be maximum.

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