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Two bodies of equal mass with volumes {V} and 2 {~V} are equal

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Two bodies of equal mass with volumes $V$ and $2 V$ are equalized on a balance. The large body is then immersed in oil of density $ρ = 0.9 g / cc$ . What must be the density of the liquid in which the smaller body is simultaneously immersed so as not to disturb the equilibrium of the balance ?

0.9 g / cc

1.8 g / cc

0.45 g / cc

1.35 g / cc

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Benjamin Discussed

Two bodies of equal mass with volumes

V

and

2 V

are equalized on a balance. The large body is then immersed in oil of density

ρ = 0.9 g / cc

. What must be the density of the liquid in which the smaller body is simultaneously immersed so as not to disturb the equilibrium of the balance ?

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

The two bodies will remain equalized on balance, if their loss in weighs in respective liquids in which they are immersed, is equal.
So, if

σ

is the density of liquid in which smaller body is immersed, then

∴ 2 V \times 0.9 \times g = V \times σ g σ = 1.8 g / cc

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Question Text	Two bodies of equal mass with volumes $V$ and $2 V$ are equalized on a balance. The large body is then immersed in oil of density $ρ = 0.9 g / cc$ . What must be the density of the liquid in which the smaller body is simultaneously immersed so as not to disturb the equilibrium of the balance ?
Topic	Gravitation
Subject	Science
Class	Class 9
Answer Type	Text solution:1
Upvotes	54

Two bodies of equal mass with volumes $V$ and $2 V$ are equalized on a balance. The large body is then immersed in oil of density $ρ = 0.9 g / cc$ . What must be the density of the liquid in which the smaller body is simultaneously immersed so as not to disturb the equilibrium of the balance ?

Text solutionVerified

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Two bodies of equal mass with volumes V and 2 V are equalized on a balance. The large body is then immersed in oil of density ρ=0.9 g/cc. What must be the density of the liquid in which the smaller body is simultaneously immersed so as not to disturb the equilibrium of the balance ?

Text solutionVerified

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Two bodies of equal mass with volumes $V$ and $2 V$ are equalized on a balance. The large body is then immersed in oil of density $ρ = 0.9 g / cc$ . What must be the density of the liquid in which the smaller body is simultaneously immersed so as not to disturb the equilibrium of the balance ?