Three liquids of densities  (with ${p}_{1}>{p}_{2}>{p}_{3}$), having the same value of surface tension T, rise to the same height in three identical capillaries. The angles of contact  obey

(a) $\frac{\pi }{2}>{\theta }_{1}>{\theta }_{2}>{\theta }_{3}\ge 0$

(b) $0\le {\theta }_{1}<{\theta }_{2}<{\theta }_{3}<\frac{\pi }{2}$

(c) $\frac{\pi }{2}<{\theta }_{1}<{\theta }_{2}<{\theta }_{3}<\pi$

(d) $\pi >{\theta }_{1}>{\theta }_{2}>{\theta }_{3}>\frac{\pi }{2}$

Concept Questions :-

Surface tension
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Difficulty Level:

Two non-mixing liquids of densities $\rho$ and n$\rho$(n>1) are put in a container. The height of each liquid is h. A solid cylinder  floats with its axis vertical and length pL $\left(p<1\right)$ in the denser liquid. The density of the cylinder is d. The cylinder floats with its axis vertical and length pL (p<1) in the denser liquid. The density d is equal to

(a) {2+(n+1)p}$\rho$             (b) {2+(n-1)p}$\rho$

(c) {1+(n-1)p}$\rho$              (d) {1+(n+1)p}$\rho$

Concept Questions :-

Archimedes principle
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Difficulty Level:

The approximate depth of an ocean is 2700 m. The compressibility of water is 45.4 x 10-11 Pa-1 and density of water is 103kg/m3. What fractional compression of water will be obtained at the bottom of the ocean?

(a)0.8x10-2

(b)1.0x10-2

(c)1.2x10-2

(d)1.4x10-2

Concept Questions :-

Pressure
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Difficulty Level:

A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is 250 m2. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be (Pair=1.2kg/m3)

(a)4.8x105N,downwards
(b)4.8x105N,upwards
(c)2.4x105N,upwards
(d)2/4x105N,downwards

Concept Questions :-

Bernoulli theorem
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Difficulty Level:

The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is v, the speed of the ejection of the liquid through the holes is

(a)vR2/n2r2
(b)vR2/nr2
(c)vR2/n3r2
(d)v2R/nr

Concept Questions :-

Equation of continuity
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Difficulty Level:

The heart of a man pumps 5L of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury be  kg/m3 and g =10 m/s2, then the power of heart in watt is

(a)1.70

(b)2.35

(c)3.0

(d)1.50

Concept Questions :-

Pressure
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Difficulty Level:

Water rises to a height h in capillary tube . If the length of capillary tube is above the surface of water is made less than h, then

(a) water rises upto the tip of capillary tube and then starts overflowing like a fountain

(b) water rises upto the top of capillary tube and stays there without overflowing

(c) water rises upto a point a little below the top and stays there

(d) water does not rise at all

Concept Questions :-

Capillary rise
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Difficulty Level:

A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then

(a)

(b)

(c)

(d)

Concept Questions :-

Surface tension
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Difficulty Level:

The wettability of a surface by a liquid depends primarily on

(a) viscosity

(b) surface tension

(c) density

(d) angle of contact between the surface and the liquid

Concept Questions :-

Surface tension
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Difficulty Level:

An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

(a) $\frac{1}{2}m{v}^{3}$                                    (b) $m{v}^{3}$

(c) $\frac{1}{2}m{v}^{2}$                                    (d) $\frac{1}{2}{m}^{2}{v}^{2}$

Concept Questions :-

Bernoulli theorem