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  • In an experiment to determine the Young's modulus, steel wires of five different lengths <img alt="(1,2,3,4$, and $5 \mathrm{~m})" src="https://entrancecorner.oncodecogs.com/gif.latex?%281%2C2%

In an experiment to determine the Young's modulus, steel wires of five different lengths (1,2,3,4$, and $5 \mathrm{~m}) but of same cross section \left(2 \mathrm{~mm}^{2}\right. ) were taken and curves between extenstion 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 \mathrm{x \times 10^{11} \mathrm{Nm}^{-2}}, then the value of \mathrm{x } is____________.

Option: 1

2


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{A=2(\mathrm{~mm})^2=2 \times 10^{-6} \mathrm{~m}^2}

\mathrm{slope=\frac{\left ( \frac{Extension}{load} \right )\times 10^{-5}Nm^{-2}}{length}=\frac{\Delta \ell}{F\times \ell}}

\mathrm{But \: Y=\frac{F}{A} \times \frac{\ell}{\Delta \ell}}

\mathrm{\frac{1}{A Y} =\frac{\Delta \ell}{F \ell} }

\mathrm{\text { Slope }= \frac{1}{A Y}=0.25 \times 10^{-5} }

\mathrm{Y =\frac{1}{2 \times 0.25 \times 10^{-11}} }

\mathrm{Y =2 \times 10^{11} \mathrm{~N} / \mathrm{m}^2 }

\mathrm{x =2}

The value of x is 2.








 

Posted by

Ritika Jonwal

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