A Wire Of Cross-sectional Area A at Temperature t is Held Taut With Negligible Tension Between Two Rigid Supports. If The Wire Is Cooled To A Temperature  what Tension Is Developed In The Wire? The Coefficient Of Linear Expansion Is  and The Young’s Modulus Of The Wire Is Y.

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Question

A wire of cross-sectional area A at temperature t is held taut with negligible tension between two rigid supports. If the wire is cooled to a temperature  what tension is developed in the wire? The coefficient of linear expansion is  and the Young’s modulus of the wire is Y.

Solution

Correct option is

 

Let be the length of the wire at temperature  and  be the contraction in the length as the temperature  falls by  Then

                          

  is

                          

 

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