AP EAMCET Engineering 22 Sep 2020 Shift 2 Paper

Given, change in length, ∆l=l
L = original length (say)
According to Hooke's law,
Stress ∝ Strain
⇒‌‌‌

‌ Stress ‌

‌ Strain ‌

= constant
⇒‌‌‌

‌ Stress ‌

‌ Strain ‌

= Young's modulus
⇒‌‌‌

F/A

∆l L

=Y‌‌⇒‌‌‌

FL

A∆l

=Y
F=‌

Y⋅A∆l

L

Since, Y,A,L are constant.
Hence, ‌‌F∝∆l
But ‌‌∆l=1
∴‌‌F∝I