An open cubical tank was initially fully filled with water. When tank was accelerated on a horizonta

English

Gujarati

Hindi

9-1.Fluid Mechanics

normal

An open cubical tank was initially fully filled with water. When the tank was accelerated on a horizontal plane along one of its side it was found that one third of volume of water spilled out. The acceleration was

A

$g/3$

B

$2g/3$

C

$3g/2$

D

None

Solution

$A=$ area of the base $\tan \theta=a / g$

Finally $1 / 3$ rd of the water spilled out So volume of water spilled out finally

$=V f=$$\frac{2 \tan \theta \times A}{2}=\frac{L^{3} \tan \theta}{2}$

this is $1 / 3$ volume of $L^{3}$

$\Rightarrow \frac{\tan \theta}{2}=\frac{1}{3} \Rightarrow \tan \theta=2 / 3=\mathrm{a} / \mathrm{g}$

$a=2 g / 3$

Standard 11

Physics

Share

Similar Questions

A body of density $\rho'$ is dropped from rest at a height $h$ into a lake of density $\rho$ , where $\rho > \rho '$ . Neglecting all dissipative forces, calculate the maximum depth to which the body sinks before returning to float on the surface.

hard

A cubical block of side $0.5\,m$ floats on water with $30\%$ of its volume under water. ……. $kg$ is the maximum weight that can be put on the block without fully submerging it under water ? [Take density of water $= 10^3\,kg/m^3$ ]

hard

(JEE MAIN-2019)

A cubical block of wood $10 \,cm$ on a side floats at the interface between oil and water with its lower surface horizontal and $4\, cm$ below the interface. The density of oil is $0.6gc{m^{ – 3}}$. The mass of block is …… $gm$

medium

A piece of gold weighs $10 \,g$ in air and $9 \,g$ in water. What is the volume of cavity is …… $cc$ (Density of gold $=19.3 \,g cm ^{-3}$ )

medium

A cylindrical block of wood of base area $30\ cm^2$ , floats in a liquid of density $900\ kg/m^3$ . The block is depressed lightly and then released. The time period of the resulting oscillations of the block is equal to that of spring with block of same mass, then spring constant is equal to …….. $N/m$

hard