A piece of solid weighs 120 g in air, 80 g in water and 60 g in a liquid. The relative density of the solid and that of the liquid are respectively

Options

A. 3, 2
B. 2, `(3)/(4)`
C. `(3)/(2)`, 2
D. 3, `(3)/(2)`

Answer

D

Explanation

Relative density of solid
`=("weight in air")/("weight in air-weight in water")`
implies Relative density of solid
`=(120)/(120-80)=(120)/(40)=3`
Relative density of liquid
`=("weight in air - weight in liquid")/("weight in air - weight in water")`
Relative density of liquid
`=(120-60)/(120-80)`
`=(60)/(40)=(3)/(2)`