The change in length due to a tensile or compressive force acting on a body is given by
(where P = Tensile or compressive force acting on the body, L = Original length of the body,
A = Cross-sectional area of the body, and E = Young's modulus for the material of the body)
1) PLA/E
2) AE/PL
3) PLE/A
4) PL/AE
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answer : option (2) AE/PL
explanation : we know, Young's modulus is the ratio of stress to strain.
stress = tensile or compressive force acting on the body/ cross sectional area
strain = change in length/original length.
so, Young's modulus = tensile force × original length/(change in length × cross sectional area)
given, E = Young's modulus, P = tensile force , cross sectional area = A and original length = L
so, E = P × L/(change in length × A)
change in length = AE/PL
hence, option (2) AE/PL is correct
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