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