QJEEM23Ph5fa6: JEE Main 2023 Physics - Class 11 JEEM23Ph5fa6 Solution: Under the same load, wire A having length and cross section…

Question

Verified Solution • 2025–26 Session moderate

Under the same load, wire A having length

5.0 \mathrm{~m}

and cross section

2.5 \times 10^{-5} \mathrm{~m}^{2}

stretches uniformly by the same amount as another wire B of length

6.0 \mathrm{~m}

and a cross section of

3.0 \times 10^{-5}

\mathrm{m}^{2}

stretches. The ratio of the Young's modulus of wire A to that of wire

B

will be :

Accepted Answer

\Delta \ell=\frac{F \ell}{S Y}

F

is same for both wire and

\Delta \ell

is also same

\begin{aligned}&amp; \frac{\Delta \ell}{F}=\frac{\ell}{S Y} \\\\&amp; \Rightarrow \frac{\ell_{A}}{S_{A} Y_{A}}=\frac{\ell_{B}}{S_{B} Y_{B}} \\\\&amp; \Rightarrow \frac{5}{2.5 \times Y_{A}}=\frac{6}{3 \times Y_{B}} \\\\&amp; \Rightarrow \frac{Y_{A}}{Y_{B}}=1\end{aligned}

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