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Q.

A piece of brass (Cu and Zn) weighs 12.9 g in air. When completely immersed in water, it weighs 11.3 g. The relative densities of Cu and Zn are 8.9 and 7.1 respectively. Calculate the mass of copper in the alloy

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a

5.6 gm

b

6.6 gm

c

8.6 gm

d

7.6 gm

answer is B.

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Detailed Solution

Buoyant force on the alloy

w1−w2=vρw

w1−w2ρw=v=m1d1+m2d2

12.9−11.3=m1(R.D)1+m2(R.D)2→(1)

m1+m2=12.9→(2)

Solve (1) and (2)

m1=7.6 g

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