A metallic sphere weighs `210g` in air, 180 g in water and 120 g in an unknown liquid. Find the density of metal and of liquid.

Options

A. the density of the metal is 3 `g//cm^(3)`
B. the density of the metal is 7 `g//cm^(3)`
C. density of the metal is 4 times the density of unknown liquid
D. the metal still float in water

Answer

A

Explanation

Specific gravity `= ("weight of body in air" )/("weight of water displaced")`
`= (210)/(210-140) = (210)/(70) =3`
Density of body = sp. Gravity `xx` density of water ` = 3 xx 1 g//cm ^(3) g//cm ^(3)`