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Surface Energy MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • Surface energy is considered one the most difficult concept.

  • 8 Questions around this concept.

Solve by difficulty

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:

 

The work done to break up a drop of a liquid of radius R and surface tension \sigma into eight drops, all of the same size, is

Two water droplets coalesce to form a large drop. In this process,

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Concepts Covered - 1

Surface energy

The molecules on the liquid surface experience net downward force. And because of this force, these molecules tend to move downwards. So to fill the space we need to bring a molecule from the interior of the liquid to the free surface. And to do this some work is required to be done against the intermolecular force of attraction. This work will be stored as the potential energy of the molecule on the surface. 

And this stored potential energy of surface molecules per unit area of the surface is called surface energy.

Surface energy is also defined as the amount of work done in increasing the area of the surface film through unity.

I.e  surface \ \ energy = \frac{work \ done \ in \ increasing \ the \ surface \ area }{increase \ in \ surface \ area}

or surface \ \ energy = \frac{W}{\Delta A}..... (1)

Where W\rightarrow work \: done

and \Delta A\rightarrow increase\: in\: area

And work done in increasing the surface area is given by 

W=T\times \Delta A.... (2)

where T\rightarrow Surface \: tension

and \Delta A\rightarrow increase\: in\: area

So we rewrite equation (2) as

T= \frac{W}{\Delta A}.... (3)

So we can also define surface tension as the amount of work done in increasing the area of the liquid surface by unity against the force of surface tension.

Or we can say that the surface tension of a liquid is numerically equal to its surface energy.

As

W=T\Delta A

If \ \Delta A=1,then\ T=W

T\rightarrow Surface \: tension

  

 

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Surface energy

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