$A U-$ tube having horizontal arm of length $20$ $cm$, has uniform cross-sectional area $=1\ cm^2$. It is filled with water of volume $60$ $cc$. What volume of a liquid of density $4$ $g/cc$ should be poured from one side into the $U -$ tube so that no water is left in the horizontal arm of the tube ........ $cc$ ?
$A U-$ tube having horizontal arm of length $20$ $cm$, has uniform cross-sectional area $=1\ cm^2$. It is filled with water of volume $60$ $cc$. What volume of a liquid of density $4$ $g/cc$ should be poured from one side into the $U -$ tube so that no water is left in the horizontal arm of the tube ........ $cc$ ?
- A
$60$
- B
$45$
- C
$50$
- D
$35$
Similar Questions
An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of inner radius $0.1 \mathrm{~mm}$ is dipped vertically into the liquid through the airtight piston hole, as shown in the figure. The air in the container is isothermally compressed from its original volume $V_0$ to $\frac{100}{101} V_0$ with the movable piston. Considering air as an ideal gas, the height $(h)$ of the liquid column in the capillary above the liquid level in $\mathrm{cm}$ is. . . . . . .
[Given: Surface tension of the liquid is $0.075 \mathrm{Nm}^{-1}$, atmospheric pressure is $10^5 \mathrm{~N} \mathrm{~m}^{-2}$, acceleration due to gravity $(g)$ is $10 \mathrm{~m} \mathrm{~s}^{-2}$, density of the liquid is $10^3 \mathrm{~kg} \mathrm{~m}^{-3}$ and contact angle of capillary surface with the liquid is zero]
An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of inner radius $0.1 \mathrm{~mm}$ is dipped vertically into the liquid through the airtight piston hole, as shown in the figure. The air in the container is isothermally compressed from its original volume $V_0$ to $\frac{100}{101} V_0$ with the movable piston. Considering air as an ideal gas, the height $(h)$ of the liquid column in the capillary above the liquid level in $\mathrm{cm}$ is. . . . . . .
[Given: Surface tension of the liquid is $0.075 \mathrm{Nm}^{-1}$, atmospheric pressure is $10^5 \mathrm{~N} \mathrm{~m}^{-2}$, acceleration due to gravity $(g)$ is $10 \mathrm{~m} \mathrm{~s}^{-2}$, density of the liquid is $10^3 \mathrm{~kg} \mathrm{~m}^{-3}$ and contact angle of capillary surface with the liquid is zero]
- [IIT 2023]
If pressure at half the depth of a lake is equal to $2/3$ pressure at the bottom of the lake then what is the depth of the lake ........ $m$
If pressure at half the depth of a lake is equal to $2/3$ pressure at the bottom of the lake then what is the depth of the lake ........ $m$
An air bubble of volume $1\,cm ^3$ rises from the bottom of a lake $40\,m$ deep to the surface at a temperature of $12^{\circ}\,C$. The atmospheric pressure is $1 \times 10^5 Pa$, the density of water is $1000\,kg / m ^3$ and $g =10\,m / s ^2$. There is no difference of the temperature of water at the depth of $40\,m$ and on the surface. The volume of air bubble when it reaches the surface will be $..........\,cm^{3}$
An air bubble of volume $1\,cm ^3$ rises from the bottom of a lake $40\,m$ deep to the surface at a temperature of $12^{\circ}\,C$. The atmospheric pressure is $1 \times 10^5 Pa$, the density of water is $1000\,kg / m ^3$ and $g =10\,m / s ^2$. There is no difference of the temperature of water at the depth of $40\,m$ and on the surface. The volume of air bubble when it reaches the surface will be $..........\,cm^{3}$
- [JEE MAIN 2023]
Two cylindrical vessels of equal cross-sectional area $16\,cm ^{2}$ contain water upto herghts $100\,cm$ and $150\,cm$ respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is $......J$ [Take density of water $=10^{3}\,kg / m ^{3}$ and $g =10\,ms ^{-2}$ ]
Two cylindrical vessels of equal cross-sectional area $16\,cm ^{2}$ contain water upto herghts $100\,cm$ and $150\,cm$ respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is $......J$ [Take density of water $=10^{3}\,kg / m ^{3}$ and $g =10\,ms ^{-2}$ ]
- [JEE MAIN 2022]
The two thigh bones (femures), each of cross-sectional area $10 \,cm ^2$ support the upper part of a person of mass $50 \,kg$. The average pressure sustained by the femures is ........... $N / m ^2$
The two thigh bones (femures), each of cross-sectional area $10 \,cm ^2$ support the upper part of a person of mass $50 \,kg$. The average pressure sustained by the femures is ........... $N / m ^2$