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JEE Main 2021 (20 Jul, Shift 1) · Wire Combinations & Special Cases

Wire Combinations & Special Cases question from JEE Main 2021 (20 Jul, Shift 1)

Q21JEE Main 2021 · 20 JUL · SHIFT 1Medium

Wire Combinations & Special Cases

The value of tension in a long thin metal wire has been changed from T1 to T2. The lengths of the metal wire at two different values of tension T1 and T2 are l1 and l2 respectively. The actual length of the metal wire is:

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Answer: (c)

Extension $\propto$ tension: $l_1 = L + cT_1$ , $l_2 = L + cT_2$
Eliminate $c$ : $T_1l_2 - T_2l_1 = L(T_1 - T_2)$
$L = \frac{T_1l_2 - T_2l_1}{T_1 - T_2}$ , so the answer is (c).

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