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) Energy=4VT1r-1R is released

(b) Energy=3VT1r+1R is released

(c) Energy=3VT1r-1R is released

(d) Energy neither released nor absorbed

Concept Questions :-

Surface tension
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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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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) 12mv3                                    (b) mv3

(c) 12mv2                                    (d) 12m2v2

Concept Questions :-

Bernoulli theorem
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Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is 36 g and its density is 9 g / cm3. If the mass of the other is 48 g, its density in g / cm3 is 
(a)43                                         (b) 32
(c) 3                                           (d) 5

Concept Questions :-

Archimedes principle
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An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm3 of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm3
(a) 350 cm3                               (b) 300 cm3
(c) 250 cm3                               (d) 22 cm3

Concept Questions :-

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A siphon in use is demonstrated in the following figure. The density of the liquid flowing in siphon is 1.5 gm/cc. The pressure difference between the point P and S will be

(a) 105 N/m                                 (b) 2×105 N/m

(c) Zero                                        (d) Infinity 

Concept Questions :-

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The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. Ratio of density of mercury to that of air is 104. The height of the hill is
(a) 250 m                              (b) 2.5 km
(c) 1.25 km                            (d) 750 m

Concept Questions :-

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Equal masses of water and a liquid of relative density 2 are mixed together, then the mixture has a density of
(a) 2/3                                 (b) 4/3
(c) 3/2                                  (d) 3

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A body of density d1 is counterpoised by Mg of weights of density d2 in air of density d. Then the true mass of the body is

(a) M                                    (b) M1-dd2

(c) M1-dd1                       (d) M(1-d/d2)(1-d/d1)

Concept Questions :-

Archimedes principle
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The value of g at a place decreases by 2%. The barometric height of mercury
(a) Increases by 2%
(b) Decreases by 2%
(c) Remains unchanged
(d) Sometimes increases and sometimes decreases

Concept Questions :-

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