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A body is suspended by a light string. T...

A body is suspended by a light string. The tension in the string when the body is in air, when the body is totally immersed in water and when the body is totally immersed in a liquid are respectively 40.2 N, 28.4N and 16.6 N. The density of the liquid is

A

`1200 kg-m^(-3)`

B

`1600 kg -m^(-3)`

C

`2000 kg-m^(-3)`

D

`2400 kg-m^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Density of water - Density of air `prop T_("water") -T_("air")`
Density of liquid-Density of water `prop T_("liquid") -T_("water")` Now, from given values,
`T_("water") -T_("air") =T_("liquid") -T_("water")`
Air density `=1 kg//m^(3)` and water density `=1000 kg//m^(3)` So, liquid density `=2000 kg //m^(3)`
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