A solid weighs $100 N$ in the air and $90 N$ when completely immersed in water. Calculate the volume of the solid.

Take acceleration due to gravity $g$ = $10 m / s^{2}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
Weight of solid in air = $100 N$
Weight of solid in water = $90 N$
Weight of water displaced = up thrust = $100 N - 90 N = 10 N$

Mass of of liquid dispalced = $\frac{W}{g} = 1 k g$
Volume of the solid = Volume of water displaced
$= \frac{M a s s o f w a t e r d i s p l a c e d}{D e n s i t y o f w a t e r}$
$= \frac{1 k g}{(1000 k g / m^{3})}$
$= 1 \times 10^{- 3} m^{3}$

Suggest Corrections

Similar questions

Q. A solid weighs 100 gf (gram force) in air and 90 gf (gram force) when completely immersed in water. Calculate the volume of the solid.

A solid weighs $50 N$ in the air and $45 N$ when completely immersed in water. Density of water $ρ$ = $1000 k g / m^{3}$ . Calculate the volume of the solid.

(Take acceleration due to gravity = $10 m / s^{2}$ )

Q. A solid weighs

120 g f

in air and

105 g f

when it is completely immersed in water. Calculate the relative density of solid.

Q. A solid weighs 50 kg in the air and 44 kg when completely immersed in water calculate the relative density of the solid, upthrust and density of solid

Q. A piece of solid weighs

120 g

in air and

80 g

when completely immersed in water. The relative density of solid is

Join BYJU'S Learning Program

A solid weighs 100 N in the air and 90 N when completely immersed in water. Calculate the volume of the solid. Take acceleration due to gravity g = 10 m/s2

A solid weighs $100 N$ in the air and $90 N$ when completely immersed in water. Calculate the volume of the solid.

Take acceleration due to gravity $g$ = $10 m / s^{2}$