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Question

A body weighs 50 g in air and 40 g when completely immersed in water. How much it will weigh when immersed completely in a liquid of relative density 1.5?

A
30 g
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B
35 g
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C
45 g
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D
25 g
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Solution

The correct option is B 35 g
We know,
Upthrust on body in water = Weight of body in air -Weight of body in water
=(0.050.04)g N=0.01×10 N
=0.1 N

We also know
Relative density of liquid
=ρlρw
=Upthrust on body in liquid Upthrust on body in water=1.5
=Upthrust on body in liquid 0.1=1.5
Upthrust on body in liquid=0.15 N

Again,
Upthrust on body in liquid
= Weight of body in air -Weight of body in liquid
0.15=0.5Wl
Wl=0.35 N
Mass, m=0.3510=0.035 kg=35 g
Body weighs as 35 g in liquid.

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