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JEE MAIN 2021
20-07-2021 - S1
Question
The value of tension in a long thin metal wire has been changed from $\mathrm{T}_1$ to $\mathrm{T}_2$. The lengths of the metal wire at two different values of tension $\mathrm{T}_1$ to $\mathrm{T}_2$ are $\ell_1$ and $\ell_2$ respectively. The actual length of the metal wire is :
Select the correct option:
A
$\frac{T_1 \ell_2-T_2 \ell_1}{T_1-T_2}$
B
$\frac{\mathrm{T}_1 \ell_1-\mathrm{T}_2 \ell_2}{\mathrm{~T}_1-\mathrm{T}_2}$
C
$\frac{\ell_1-\ell_2}{2}$
D
$\sqrt{T_1 T_2 \ell_1 \ell_2}$
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