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Work Done In Stretching A Wire MCQ - Practice Questions with Answers
Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET
Quick Facts
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Work done in stretching a wire is considered one the most difficult concept.
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6 Questions around this concept.
Solve by difficulty
A wire fixed at the upper end stretches by length by applying a force
. The work done in stretching is:
A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy (in Joule) stored in the wire is
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Work done in stretching a wire
When a body is in its natural shape, its potential energy corresponding to the molecular forces is minimum. When deformed, internal forces appear and work has to be done against these forces. Thus, the potential energy of the body is increased. This is called the elastic potential energy.
Suppose a wire having natural length L and cross-sectional area A is fixed at one end and is stretched by an external force applied at the other end. When the extension is x,the wire is under a longitudinal stress F/A. The strain is x/L.
If Young's modulus is Y, then
So, the work done for an additional small increase dx in length will be:-
The total work done by the extermal force in increasing the length from 0 to will be:-
This work done is stored into the wire as its elastic potential energy. So, the elastic potential energy of the stretched wire is:
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