Question

A body weigh 50 g in air and 40 g in water. How much would it weight in a liquid of specific gravity 1.5?

• A. 65 g
• B. 45 g
• C. 30 g
• D. 35 g

Answer 1

The correct option is D 35 g

density of water ${\rho }_w=1gc{c}^{-1}$
density of liquid ${\rho }_1$=specific gravity of liquid X density of water
$=1.5\times 1$
$=1.5gc{c}^{-1}$
If V is the volume of the body, then weight of body in water= weight of body in air - upthrust of liquid
$g=50g-VX{\rho }_{w}Xg$
or V=50-40
=10 cc
Weight of body in liquid = weight of body in air upthrust of liquid
$=50g-V{\rho }_{1}g$
$50-10\times 1.5$
=35 g