Young's Modulus(Y) is given by-
Y=mglπr2ΔlY=\frac{mgl}{ \pi r^2 \Delta l}Y=πr2Δlmgl
Putting the values from the question-
8×1010=(200)(9.81)(4)(0.2×10−24)(Δl)8\times10^{10}=\frac{(200)(9.81)(4)}{(0.2\times10^{-24})(\Delta l)}8×1010=(0.2×10−24)(Δl)(200)(9.81)(4)
Δl=4.905×10−14m\Delta l = 4.905\times10^{-14} mΔl=4.905×10−14m
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