Question
Download Solution PDFWhich of the following expressions represents the energy stored in a stretched wire? (Y = Young's modulus, S = strain)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- When we exert tensile stress on a wire, it will get stretched and work done in stretching the wire will be equal and opposite to the work done by inter-atomic restoring force. This work stored in the wire in the form of Elastic potential energy.
- Whereas work done can be derived as
Where F = force applied on wire and dl = change in length
EXPLANATION:
- Now by using the relation of Young’s Modulus we can say that,
Substituting the value of Y in the equation of work we get
- Hence work done per unit volume is given as
So option 1 is correct.
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