An iron bar of length λ and having a cross-section A is heated from 0 to 100ºC. If this bar is so held that it is not permitted to expand or bend, the force that is developed, is:
Text Solution
Verified by ExpertsThe correct answer is:
B
When force F is applied
Y =
, where Y is Young's modulus, A is area
F =
...
From the formula for linear expansion
α =
...
According to the condition that bar will not bend or expand
Now from equations and
F = YA × 100α
Hence, force is independent of length L
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