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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 C 3Apparent weight =V(ρ−σ)g=mρ(ρ−σ)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(ρ1−1)=m2ρ2(ρ2−1) 369(9−1)=48ρ2(ρ2−1) 8ρ2=12ρ2−12 ⇒ρ2=3 Hence, the correct answer is option (c).

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