Student Login

Home›Chapters›Mechanical Properties of Solids PYQs›Wire Combinations & Special Cases›Question 22

JEE Main 2021 (26 Feb, Shift 2) · Wire Combinations & Special Cases

Wire Combinations & Special Cases question from JEE Main 2021 (26 Feb, Shift 2)

Q22JEE Main 2021 · 26 FEB · SHIFT 2Medium

Wire Combinations & Special Cases

The length of metallic wire is l1 when tension in it is T1. It is l2 when the tension is T2. The original length of the wire will be:

Show answer and solution

Answer: (d)

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

Report a mistake

More questions on Wire Combinations & Special Cases

An object of mass m is suspended at the end of a massless wire of length L and area of…JEE Main 2020 (6 Sep, Shift 1)
In an experiment, brass and steel wires of length 1 m each with areas of cross section…JEE Main 2019 (10 Apr, Shift 2)
A load of mass M kg is suspended from a steel wire of length 2m and radius 1.0 mm in…JEE Main 2019 (12 Jan, Shift 2)
A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a…JEE Main 2016 (9 Apr, Shift 1)
A thin 1 m long rod has a radius of 5 mm. A force of 50 π kN is applied at one end to…JEE Main 2016 (10 Apr, Shift 1)
If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in…NEET 2013
A copper wire of length 1.0 m and a steel wire of length 0.5 m having equal…JEE Main 2013 (23 Apr, Shift 1)
If the ratio of lengths, radii and Young's moduli of steel and brass wires in the figure…JEE Main 2013 (9 Apr, Shift 1)