Figure shows the same block of wood floating in three different liquids A- B and C of densities -1- -2- and -3 respectively- Which of the liquid has the highest density -

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Buoyant Force

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Question

Figure shows the same block of wood floating in three different liquids $A, B and C$ of densities $ρ_{1}$ , $ρ_{2}$ , and $ρ_{3}$ respectively. Which of the liquid has the highest density ?

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All the liquids will have same density.

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Solution

The correct option is D
The upthrust on the body by each liquid is the same and it is equivalent to the weight of body.

But, Upthrust $= Volume of solid submerged \times ρ_{L} \times g$ .

For liquid $C$ , since volume submerged is least, so density $ρ_{3}$ must be maximum.

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Figure shows the same block of wood floating in three different liquids A, B and C of densities ρ1, ρ2, and ρ3 respectively. Which of the liquid has the highest density ?

The correct option is D The upthrust on the body by each liquid is the same and it is equivalent to the weight of body. But, Upthrust=Volume of solid submerged×ρL×g. For liquid C, since volume submerged is least, so density ρ3 must be maximum.

Figure shows the same block of wood floating in three different liquids $A, B and C$ of densities $ρ_{1}$ , $ρ_{2}$ , and $ρ_{3}$ respectively. Which of the liquid has the highest density ?

The correct option is D
The upthrust on the body by each liquid is the same and it is equivalent to the weight of body.

But, Upthrust $= Volume of solid submerged \times ρ_{L} \times g$ .

For liquid $C$ , since volume submerged is least, so density $ρ_{3}$ must be maximum.