Physics
Fluid-Mechanics
Easy
Question
A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g/cm3). The level of mercury in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water
- 1.2 cm
- 2.35 cm
- 0.56 cm
- 0.8 cm
The correct answer is: 0.56 cm
If the rise of level in the right limb be x cm. the fall of level of mercury in left limb be 4 x cm because the area of cross section of right limb is 4 times as that of left limb.
:. Level of water in left limb is (36 + 4x) cm.
Related Questions to study
Physics
Torque produced by the liquid due to the thrust on side wall about axis through bottom edge will be
Torque produced by the liquid due to the thrust on side wall about axis through bottom edge will be
PhysicsFluid-Mechanics
Physics
PhysicsFluid-Mechanics
Physics
Consider a rectangular tank of size 
filled with a liquid of density d to a height h as shown. 
Consider a rectangular tank of size filled with a liquid of density d to a height h as shown.
PhysicsFluid-Mechanics
Physics
A horizontal thin tube completely filled with a liquid of density ρ rotates about a vertical axis passing through one of its ends with an angular velocity. If P0 is pressure of the liquid at the axis of rotation, pressure at the other end of the tube will be
A horizontal thin tube completely filled with a liquid of density ρ rotates about a vertical axis passing through one of its ends with an angular velocity. If P0 is pressure of the liquid at the axis of rotation, pressure at the other end of the tube will be
PhysicsFluid-Mechanics
Physics
Find the force acting on the piston of 3 cm2 at point 2 due to the water column of height 10 m
Find the force acting on the piston of 3 cm2 at point 2 due to the water column of height 10 m
PhysicsFluid-Mechanics
Physics
A tube 1 cm2 in cross section is attached to the top of a vessel 1 cm high and of cross-section 100 cm2. Water is poured into the system filling it to a depth of 100 cm above the bottom of the vessel . 
A tube 1 cm2 in cross section is attached to the top of a vessel 1 cm high and of cross-section 100 cm2. Water is poured into the system filling it to a depth of 100 cm above the bottom of the vessel .
PhysicsFluid-Mechanics
Physics
In previous question, if 15 cm of water and spirit each are further poured into the respective arms of the tube, difference in the level of mercury in the two arms is (Take, relative density of mercury =13.6)
In previous question, if 15 cm of water and spirit each are further poured into the respective arms of the tube, difference in the level of mercury in the two arms is (Take, relative density of mercury =13.6)
PhysicsFluid-Mechanics
Physics
A uniformly tapering vessel of height h whose lower and upper radii are r and R is completely filled with a liquid of density 
. The force that acts on the base of the vessel due of the liquid is
A uniformly tapering vessel of height h whose lower and upper radii are r and R is completely filled with a liquid of density . The force that acts on the base of the vessel due of the liquid is
PhysicsFluid-Mechanics
Physics
A cylindrical vessel containing a liquid is closed by a smooth piston of mass m. If A is the cross-sectional area of the piston and P0 is the atmospheric pressure, then the pressure of the liquid just below the piston is
A cylindrical vessel containing a liquid is closed by a smooth piston of mass m. If A is the cross-sectional area of the piston and P0 is the atmospheric pressure, then the pressure of the liquid just below the piston is
PhysicsFluid-Mechanics
Physics
In a hydraulic lift at a service station, the radii of the large and small pistons are in the ratio of 20: 1. What weight placed on the small piston will be sufficient to lift a car of mass on1200kg?
In a hydraulic lift at a service station, the radii of the large and small pistons are in the ratio of 20: 1. What weight placed on the small piston will be sufficient to lift a car of mass on1200kg?
PhysicsFluid-Mechanics
Physics
The breaking stress of a material is 109 pascal. If the density of material is 3×103 kg/m3. The minimum length of the wire for which it breaks under its own weight will be
The breaking stress of a material is 109 pascal. If the density of material is 3×103 kg/m3. The minimum length of the wire for which it breaks under its own weight will be
PhysicsFluid-Mechanics
Physics
An elastic material of Young’s modulus Y is subjected to a stress S. The elastic energy stored per unit volume of the material is
An elastic material of Young’s modulus Y is subjected to a stress S. The elastic energy stored per unit volume of the material is
PhysicsFluid-Mechanics
Physics
If r is the density of the material of a wire and s the breaking stress, the greatest length of the wire that can hang freely without breaking is:
If r is the density of the material of a wire and s the breaking stress, the greatest length of the wire that can hang freely without breaking is:
PhysicsFluid-Mechanics
Physics
A wire of length L, cross-sectional area A is made of a material of Young’s modulus Y. The wire is stretched by an amount x, which lies well within the elastic limit. The work done (W) by the force is
A wire of length L, cross-sectional area A is made of a material of Young’s modulus Y. The wire is stretched by an amount x, which lies well within the elastic limit. The work done (W) by the force is
PhysicsFluid-Mechanics
Physics
The stress-strain graph for two materials is shown in the figure. If the Young’s modulus for two materials are YA and YB then
The stress-strain graph for two materials is shown in the figure. If the Young’s modulus for two materials are YA and YB then
PhysicsFluid-Mechanics
