A U tube contains water and methylated spirit separated by mercury . mercury columns in two arms are

English

Gujarati

Hindi

9-1.Fluid Mechanics

normal

A $U$ tube contains water and methylated spirit separated by mercury . The mercury columns in the two arms are at the same level with $10\,cm$ of water in one arm and $12.5\,cm$ of spirit in the other as shown in figure. The relative density of the spirit is

A

$0.6$

B

$0.8$

C

$1.0$

D

$1.25$

Solution

Refer figure.

As the mercury columns in the two arms of

$U$ tube are at the same level, therefore

Pressure due to water $=$ Pressure due to

spirit column $\rho_{w} h_{w} g=\rho_{s} h_{s} g$

$\rho_{\mathrm{s}}=\frac{\mathrm{h}_{\mathrm{w}}}{\mathrm{h}_{\mathrm{s}}} \rho_{\mathrm{w}}$

$\therefore$ Relative density of spirit

$=\frac{\rho_{\mathrm{s}}}{\rho_{\mathrm{w}}}=\frac{\mathrm{h}_{\mathrm{w}}}{\mathrm{h}_{\mathrm{s}}}=\frac{10 \mathrm{cm}}{12.5 \mathrm{cm}}=0.8$

Standard 11

Physics

Share

Similar Questions

A wax candle floats vertically in a liquid of density twice that of wax. The candle burns at the rate of $4\ cm/hr$ . Then, with respect to the surface of the liquid the upper end of the candle will

normal

A pan balance has a container of water with an overflow spout on the right-hand pan as shown. It is full of water right up to the overflow spout. A container on the left-hand pan is positioned to catch any water that overflows. The entire apparatus is adjusted so that it’s balanced. A brass weight on the end of a string is then lowered into the water, but not allowed to rest on the bottom of the container. What happens next?

normal

The velocity of a small ball of mass $M$ and density $d_1,$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $d_2,$ the viscous force acting on the ball will be

normal

A given shaped glass tube having uniform cross-section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity $\omega $ then

normal

A homogeneous solid cylinder of length $L(L < H/2)$, cross-sectional area $A/5$ is immersed such that it floats with its axis vertical at the liquid-liquid interface with length $L/4$ in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure $P_0$. Then, density $D$ of solid is given by

normal