Pascal's Law
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Q. Figure shows two containers P and Q with same base area A and each filled upto same height with same liquid. Select the correct alternative.
- Px>Py
- Px<Py
- Px=Py
- Cannot be determined
Q. In a car lift, compressed air exerts a force F1 on a small piston having a radius of 5.0 cm. This pressure is transmitted to the second piston of radius 10.0 cm. If the mass of the car to be lifted by the second piston is 1350 kg, calculate F1 [Take g=10 m/s2]
- 1800 N
- 2400 N
- 3375 N
- 5625 N
Q. A piston of cross-sectional area 100 cm2 is used in a hydraulic pump to exert a force of 107 dyne on the water. The cross-sectional area of the other piston which supports a truck of mass 2000 kg is
- 9.8×102 cm2
- 9.8×103 cm2
- 1.96×103 cm2
- 1.96×104 cm2
Q.
As the result of a wind blowing normal to the plane of the rectangular sign, a uniform pressure of is exerted in the direction shown in the figure. Determine the moment of the resulting force at about point . Express your result as a vector using the coordinates shown.
Q. The pressure at the bottom of a water tank is 6P, where P is the atmospheric pressure. If water is drawn out till the level decreases by 25th, then the pressure at the bottom of the tank is
- 2P
- 4P
- 6P
- 5P
Q. In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, calculate the pressure acting on the smaller piston.
[Take g=10 m/s2]
[Take g=10 m/s2]
- 3×105 Pa
- 2×105 Pa
- 1.9×105 Pa
- 1.9 Pa
Q. In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, calculate the pressure acting on the smaller piston.
[Take g=10 m/s2]
[Take g=10 m/s2]
- 3×105 Pa
- 2×105 Pa
- 1.9×105 Pa
- 1.9 Pa
Q. The three vessels shown in figure have same base area. Equal volumes of a liquid are poured into the three vessels. The force on the base will be
- Maximum in vessel A
- Maximum in vessel B
- Maximum in vessel C
- Equal in all the vessels
Q. There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d1 and d2 are filled in the tube. Each liquid subtends 90∘ angle at centre. Radius joining their interface makes an angle α with vertical.
Ratio d1d2 is:
Ratio d1d2 is:
- 1+tan α1−tan α
- 1+sin α1−cos α
- 1+sin α1−sin α
- 1+cos α1−cos α
Q. Figure shows a container filled with a liquid of density ρ. Four points A, B, C and D lie on the diametrically opposite points of a circle as shown. Point A and C lie on vertical and point B and D lie on horizontal line. The incorrect statement is (PA, PB, PC, PD are absolute pressure of the respective points).
- PD=PB
- PD=PB=PC−PA2
- PA<PB
- PB=PD=PC+PA2
Q. There are two fish tanks each of depth 0.5 m filled upto the brim. Base area of one is 0.5 m2 and that of another is 0.1 m2. At the depth of which tank will a fish feel larger pressure?
- The tank of wider base area
- The tank of smaller base area
- Equal for both tanks
- Can't say
Q. A beaker of circular cross-section of radius 5 cm is filled with mercury upto a height of 15 cm. Find the force exerted by the mercury on the bottom of the beaker. Take atmospheric pressure =105 N/m2, density of mercury =13600 kg/m3, and g=10 m/s2.
- 9425 N
- 942.5 N
- 94.25 N
- 785.4 N
Q. To lift an automobile of 5000 kg, a hydraulic lift with a large piston 800 cm2 in area is employed. Calculate the force that must be applied to a small piston of area 5 cm2 to achieve it.
- 612.5 N
- 306.25 N
- 153.12 N
- 408.56 N
Q. Figure shows two containers P and Q with same base area A and each filled upto same height with same liquid. Select the correct alternative.
- Px>Py
- Px<Py
- Px=Py
- Cannot be determined
Q. A uniformly tapering vessel is filled with a liquid of density 900 kg/m3. The force that acts on the base of the vessel due to the liquid (excluding atmospheric force) is : [Take g=10 m/s2]
- 3.6 N
- 7.2 N
- 9.0 N
- 12.6 N
Q. Figure shows water filled in a symmetrical container. Four pistons of equal area A are used at the four openings to keep the water in equilibrium. Now an additional force F is applied at each piston. The increase in the pressure at the centre of the container due to this addition is
- FA
- 2FA
- 4FA
- 0
Q. A beaker of circular cross-section of radius 5 cm is filled with mercury upto a height of 15 cm. Find the force exerted by the mercury on the bottom of the beaker. Take atmospheric pressure =105 N/m2, density of mercury =13600 kg/m3, and g=10 m/s2.
- 9425 N
- 942.5 N
- 94.25 N
- 785.4 N
Q. There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d1 and d2 are filled in the tube. Each liquid subtends 90∘ angle at centre. Radius joining their interface makes an angle α with vertical.
Ratio d1d2 is:
Ratio d1d2 is:
- 1+cos α1−cos α
- 1+tan α1−tan α
- 1+sin α1−cos α
- 1+sin α1−sin α
Q. 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 upto a height of 100 cm above the bottom of the vessel as shown in the figure. Take g=10 m/s2. Find the correct statement. Take atmospheric pressure P0=105 bar.
- The force exerted by the water against the bottom of the vessel is 1100 N.
- The weight of water in the system is 1.99 N.
- Both (a) and (b) are correct.
- Neither (a) nor (b) is correct.