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Question

Two bodies are in equilibrium when suspended in water from the arms (equal length) of a balance (in balanced condition). The mass of one body is 36 g and its density is 9 gcm3. If the mass of the other body is 48 g, its density in gcm3 is


A
43
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B
32
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C
3
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D
5
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Solution

The correct option is A 3
Apparent weight =V(ρσ)g=mρ(ρσ)g
where m= Mass of the body
ρ= Density of the body
σ= Density of water
If two bodies are in equilibrium then their apparent weights must be equal.
m1ρ1(ρ11)=m2ρ2(ρ21)
369(91)=48ρ2(ρ21)
8ρ2=12ρ212
ρ2=3
Hence, the correct answer is option (c).

Physics

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