JEE Main 2017 Physics question
A compressive force is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by . The net change in its length is zero. Let be the length of the rod, its area of cross-section, its Young's modulus, and its coefficient of linear expansion. Then, is equal to:
Answer: (2)
Solution
Two competing effects change the length. The heating produces an **expansion**
Δ = l α Δ T,
while the compressive force produces a **contraction** given by the definition of Young's modulus, :
Δ = .
The net change is zero, so these
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