Question

# Two pieces of metals are suspended from the arms of a balance and are found to  be in equilibrium when kept immersed in water. The mass of one piece is 32 g and its density 8 g $$cm^{-3}$$. The density of the other is 5 g per $$cm^{3}$$. Then the mass of the other is:

A
28 g
B
35 g
C
21 g
D
33.6 g

Solution

## The correct option is B 35 g Volume of first piece of metal = $$\dfrac {32}{8} = 4 cm^2$$Upthrust = 4 gfEffective weight = (32 -4) gf = 28 gfIf m be the mass of second body, volume of second body $$\dfrac {m}{5}$$Now, 28 = $$m$$ - $$\dfrac {m}{5} \Rightarrow m$$ = 35 g Physics

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