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JEE Main 2021 (20 Jul, Shift 2) · Wire Combinations & Special Cases

Wire Combinations & Special Cases question from JEE Main 2021 (20 Jul, Shift 2)

Q20JEE Main 2021 · 20 JUL · SHIFT 2Medium

Wire Combinations & Special Cases

The length of a metal wire is l1, when the tension in it is T1 and is l2 when the tension is T2. The natural length of the wire is:

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Answer: (b)

Extension $\propto$ tension: $l_1 = L + cT_1$ , $l_2 = L + cT_2$
Eliminate $c$ : $l_1T_2 - l_2T_1 = L(T_2 - T_1)$
$L = \frac{l_1T_2 - l_2T_1}{T_2 - T_1}$ , so the answer is (b).

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