To what height should a cyclindrical vessel be filled with a homogeneous liquid to make the force with which the liquid pressure on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel ?A. equal to the radiusB. less than radiusC. more than radiusD. four times of radius

To what height should a cyclindrical vessel be filled with a homogeneo

1.	To what height should a cyclindrical vessel be filled with a homogeneous liquid to make the force with which the liquid pressure on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel ?A. equal to the radiusB. less than radiusC. more than radiusD. four times of radius
Answer» Correct Answer - A Let `h` be the desired height of liquid in cylinder for which the force on the bottom and sides of the vessel is equal. Force on bottom`=rhoghxxpiR^(2)` Force on walls of vessel `=rhog(h//2)xx2piRh` According to question, `rhoghpiR^(2)=rhogpiRh^(2)` or `R=h`

Discussion

No Comment Found

Related InterviewSolutions

Statement 1 is false, statement 2 is true. Statement-1: The speed of liquid coming out of the orifice is independent of the nature and quality of liquid in the container.A. Statement-I is true, statement-2 true and statements-2 is a correct explanation for statements-5B. Statement 1 is true, statement 2 is true, statement-2 is not a correct explanation for statement 5C. Statement 1 is true, statement 2 is falseD. Statement 1 is false, statement 2 is true
Statement-1 : When an orifice is made in the middle of the wall of a vessel, the range of the liquid coming out of the orifice is equal to the height of the liquid. Statement-2 : Liquid is flowing through two identical pipes A and B. Volume of liquid flowing per second through A and B are `v_(0) and 2v_(0)` respectively. Flow in A is turbulent and steady in B. Statement-3 : Rate of flow of a viscous liquid through a pipe is directly proportional to he fourth power of the radius of pipe.A. T T TB. T T FC. F F TD. F T T
Statement-1 : Bernoullis equation is based on energy conservation. Statement-2 : Bernoullis equation can only be applied if the flow is streamlined. Statement-3 : Bernoullies equation can be applied evern if the flow is not streamlined as total energy is always conserved.A. T T TB. T F TC. T T FD. F F F
An ideal fluid flows through a pipe of circular cross-section made of two sections with diameters `2.5 cm` and `3.75 cm`. The ratio of the velocities in the two pipes isA. `9:4`B. `3:2`C. `sqrt(3):sqrt(2)`D. `sqrt(2):sqrt(3)`
The angle of contact between glass and water is `0^@` and surface tension is `70 dyn//cm`. Water rises in a glass capillary up to `6 cm`. Another liquid of surface tension `140 dyn//cm`, angle of contact `60^@` and relative density `2` will rise in the same capillary up toA. 12 cmB. 24 cmC. 3 cmD. 6 cm
The potential energy of the liquid of surface tension `T` and density `rho` that rises into the capillary tube isA. `pi^(2)T^(2)rho^(2)g`B. `4piT^(2)rho^(2)g`C. `(2piT^(2))/(rhog)`D. `(piT^(2))/(rhog)`
The radii of the two columne is U-tube are `r_(1)` and `r_(2)(gtr_(1))`. When a liquid of density `rho` (angle of contact is `0^@))` is filled in it, the level different of liquid in two arms is h. The surface tension of liquid is `(g=` acceleration due to gravity)A. `(rhoghr_(1)r_(2))/(2(r_(2)-r_(1))`B. `(rhogh(r_(2)-r_(1)))/(2r_(2)r_(1))`C. `(2(r_(1)-r_(2)))/(rhoghr_(2)r_(1))`D. `(2(r_(1)-r_(2)))/(rhogh)`
The radii of the two columne is U-tube are `r_(1)` and `r_(2)(gtr_(1))`. When a liquid of density `rho` (angle of contact is `0^@))` is filled in it, the level different of liquid in two arms is h. The surface tension of liquid is `(g=` acceleration due to gravity)A. `(rhoghr_(1)r_(2))/(2(r_(2)-r_(1)))`B. `(rhogh(r_(1)-r_(2)))/(2r_(1)r_(2))`C. `(2(r_(2)-r_(1)))/(rhoghr_(1)r_(2))`D. `(rhogh)/(2(r_(2)-r_(1)))`
A spherical ball of radius `3.0xx10^(-4)` m and density `10^(4)(kg)/(m^(3))` falls freely under gravity through a distance `H=nxx500m` before entering a tank of water. If after enerting the water the velocity of the ball does not change, then find n. viscosity of water is `10xx10^(-6)(N-s)/(m^(2))`,`g=10(m)/(s)`
The two thigh bones (femur bones) each of cross-sectional area `10 cm^(2)` support the upper part of a human body of mass 40 kg . Estimate the average pressure sustained by the femurs. `g=10m//s^(2)`

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment