An iron bar of length ℓ cm and cross section A cm2 is pulled by a force of F dynes from ends so as to produce an elongation Δℓcm . Which of the following statement is correct ?
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a
Elongation is inversely proportional to length
b
Elongation is directly proportional to cross section A
c
Elongation is inversely proportional to A
d
Elongation is directly proportional to Young’s modulus
answer is C.
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Detailed Solution
According to Hooke’s LawStress α strain i.e., FA∝Δll⇒ For same F&ℓ ,Δl∝1A