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QJEEM22Phc5fd: JEE Main 2022 Physics - Class 11 JEEM22Phc5fd Solution: In an experiment to determine the Young's modulus, steel wires…

In an experiment to determine the Young's modulus, steel wires of five different lengths (1,2,3,4(1,2,3,4 , and 5 m)5 \mathrm{~m}) but of same cross section (2 mm2)\left(2 \mathrm{~mm}^{2}\right) were taken and curves between extension and load were obtained. The slope (extension/load) of the curves were plotted with the wire length and the following graph is obtained. If the Young's modulus of given steel wires is x×1011 Nm−2x \times 10^{11} \,\mathrm{Nm}^{-2} , then the value of xx is __________.

JEE Main 2022 (Online) 27th July Evening Shift Physics - Properties of Matter Question 119 English

Step-by-Step Verified Solution

Y=F×lA×ΔlY = {{F \times l} \over {A \times \Delta l}}

=1A×Wire lengthExtensionload= {1 \over A} \times {{Wire\,length} \over {{{Extension} \over {load}}}}

Y=1A×(10.25×10−5)Y = {1 \over A} \times \left( {{1 \over {0.25 \times {{10}^{ - 5}}}}} \right)

Y=1011×2Y = {10^{11}} \times 2

⇒x=2\Rightarrow x = 2

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