MEDIUM
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The height of mercury column in a simple barometer is h. As the tube is inclined with the vertical at an angle α, then length of mercury column along the length of the tube will become

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Important Questions on Thrust and Pressure

HARD

An open-ended U-tube of uniform cross-sectional area contains water (density 103 kg m-3 ). Initially the water level stands at 0.29 m from the bottom in each arm. Kerosene oil (a water-immiscible liquid) of density 800 kg m-3 is added to the left arm until its length is 0.1 m, as shown in the schematic figure below. The ratio h1h2 of the heights of the liquid in the two arms is

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EASY
In a hydraulic lift, compressed air exerts a force F on a small piston of radius 3 cm. Due to this pressure the second piston of radius 5 cm lifts a load of 1875 kg. The value of F is
(Acceleration due to gravity =10 m s-2)
EASY

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: When you squeeze one end of a tube to get toothpaste out from the other end, Pascal’s principle is observed.

Reason R: A change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container.

In the light of the above statements, choose the most appropriate answer from the options given below.

HARD
Two narrow bores of diameter 5.0 mm and 8.0 mm are joined together to form a U-shaped tube open at both ends. If this U-tube contains water, what is the difference in the level of two limbs of the tube.
[Take surface tension of water T=7.3×10-2 N m-1, angle of contact =0, g=10 m s-2 and density of water=1.0×103 kg m-3
EASY
One ton stone is put on a larger piston of diameter 40 cm of a hydraulic lift and a pressure P has to be applied on the smaller piston of diameter 2 cm, to lift the stone. The pressure P, is approximately
EASY
A hydraulic press can lift 100 kg when a mass m is placed on the smaller piston.How much mass (in kg)  can it lift when the diameter of the larger piston is increased by 4 times and that of the smaller piston is decreased by 4 times keeping the same mass m on the smaller piston.
EASY
The working of hydraulic lift is based on the principle of
HARD
Consider a vessel filled with a liquid upto height H. The bottom of the vessel lies in the X-Y plane passing through the origin. The density of the liquid varies with Z-axis as ρz=ρ02-zH2. If P1 and P2 are the pressures at the bottom surface and top surface of the liquid, the magnitude of P1-P2 is :
MEDIUM
A U tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Meanwhile, the water rises by 65 mm from its original level (see diagram). The density of the oil is ____ρw=1000 kg m-3
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EASY
What does a barometer measure?
EASY
At what speed will the velocity of a stream of water be equal to 20 cm of mercury column? (Taking, g=10 ms-2 )
EASY
If pressure at half the depth of a lake is equal to 23 times the pressure at the bottom of the lake, then what is the depth of the lake?
MEDIUM
Would you be able to suck juice with a drinking straw on the moon? Give a reason for your answer.
EASY
Find density of ethyl alcohol

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EASY
A cubical sealed vessel with edge L is placed on a cart, which is moving horizontally with an acceleration a as shown in figure. The cube is filled with an ideal fluid having density d. The gauge pressure at the centre of the cubical vessel is -

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EASY
The pressure at depth h below the surface of a liquid of density ρ open to the atmosphere is
EASY

Torricelli's barometer used mercury. Pascal duplicated it using French wine of density 984 kg m-3. The height of the wine column for normal atmospheric pressure is

MEDIUM
By sucking through a straw, a student can reduce the pressure in his lungs to 750 mm of Hg (density =13.6 g cm-3). Using the straw, he can drink water from a glass upto a maximum depth of
MEDIUM
_____ is a device used to measure the pressure exerted by liquids.