Work done in splitting a drop of water of 1 mm radius into ${10}^{6}$ droplets is (Surface tension of water )

(a)                   (b)

(c)                    (d)

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Surface tension
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The amount of work done in blowing a soap bubble such that its diameter increases from d to D is (T= surface tension of the solution)

(a) $4\mathrm{\pi }\left({\mathrm{D}}^{2}-{\mathrm{d}}^{2}\right)\mathrm{T}$                     (b) $8\mathrm{\pi }\left({\mathrm{D}}^{2}-{\mathrm{d}}^{2}\right)\mathrm{T}$

(c) $\mathrm{\pi }\left({\mathrm{D}}^{2}-{\mathrm{d}}^{2}\right)\mathrm{T}$                        (d) $2\mathrm{\pi }\left({\mathrm{D}}^{2}-{\mathrm{d}}^{2}\right)\mathrm{T}$

Concept Questions :-

Surface tension
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A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done is
(a) 18 ergs                     (b) 180 ergs
(c) 1800 ergs                  (d) 8000 ergs

Concept Questions :-

Surface tension
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A spherical liquid drop of radius R is divided into eight equal droplets. If surface tension is T, then the work done in this process will be

(a) $2{\mathrm{\pi R}}^{2}\mathrm{T}$                        (b) $3{\mathrm{\pi R}}^{2}\mathrm{T}$

(c) $4{\mathrm{\pi R}}^{2}\mathrm{T}$                         (d) $2{\mathrm{\pi RT}}^{2}$

Concept Questions :-

Surface tension
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The radius of a soap bubble is increased from $\frac{1}{\sqrt{\mathrm{\pi }}}$cm to $\frac{2}{\sqrt{\mathrm{\pi }}}$ cm. If the surface tension of water is 30 dynes per cm, then the work done will be

(a) 180 ergs                          (b) 360 ergs

(c) 720 ergs                          (d) 960 ergs

Concept Questions :-

Surface tension
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If work W is done in blowing a bubble of radius R from a soap solution, then the work done in blowing a bubble of radius 2R from the same solution is

(a) W/2                    (b) 2W

(c) 4W                     (d) $2\frac{1}{3}\mathrm{W}$

Concept Questions :-

Surface tension
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If the surface tension of a liquid is T, the gain in surface energy for an increase in liquid surface by A is

(a) ${\mathrm{AT}}^{-1}$                       (b) $\mathrm{AT}$

(c) ${\mathrm{A}}^{2}\mathrm{T}$                         (d) ${\mathrm{A}}^{2}{\mathrm{T}}^{2}$

Concept Questions :-

Surface tension
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The surface tension of a soap solution is . To blow a bubble of radius 1 cm, the work done is

(a)                         (b)

(c)                        (d)

Concept Questions :-

Surface tension
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The surface tension of a liquid at its boiling point

(a) Becomes zero

(b) Becomes infinity

(c) is equal to the value at room temperature

(d) is half to the value at the room temperature

Concept Questions :-

Surface tension

Difficulty Level:

The surface tension of liquid is 0.5 N/m. If a film is held on a ring of area 0.02 ${\mathrm{m}}^{2}$, its surface energy is

(a)                          (b)

(c)                          (d)

Concept Questions :-

Surface tension