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JEE Main 2-April-2025 Paper - Shift 2 — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEEJEE Main 2-April-2025 Paper - Shift 24 Marks
Question
The length of a light string is 1.4 m when the tension on it is 5 N. If the tension increases to 7 N, the length of the string is 1.56 m. The original length of the string is __________ m.
✓

Answer

1
$\mathrm{T}=\mathrm{K}\left(\ell-\ell_{0}\right)$
$\Rightarrow 5=\mathrm{K}\left(1.4-\ell_{0}\right)$
$\Rightarrow 7=\mathrm{K}\left(1.56-\ell_{0}\right)$
$\Rightarrow \frac{5}{1.4-\ell_{0}}=\frac{7}{1.56-\ell_{0}}$
$\therefore \ell_{0}=1 \mathrm{~m}$

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