Q.
Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is 36 g and its density is 9 g / cm3. If the mass of the other is 48 g, its density in g / cm3 is
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a
43
b
32
c
3
d
5
answer is C.
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Detailed Solution
Apparent weight =V(ρ−σ)g=mρ(ρ−σ)gwhere m = mass of the body, ρ= density of the body σ= density of water If two bodies are in equilibrium then their apparent weight must be equal.m1ρ1(ρ1−σ)=m2ρ2(ρ2−σ) ⇒369(9−1)=48ρ2ρ2−1 By solving we get ρ2=3.
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