Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202226 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
26 June
Shift
Morning Shift
Subject
Physics
Chapter
Current Electricity

JEE Main 2022 · 26 June · Morning Shift · Physics · Current Electricity

An aluminium wire is stretched to make its length, 0 . 4 % larger....

An aluminium wire is stretched to make its length, 0.40 . 4 % larger. The percentage change in resistance is

Options

  1. A0.40 . 4 %
  2. B0.20 . 2 %
  3. C0.80 . 8 %
  4. D0.60 . 6 %

Correct answer

C. 0.80 . 8 %

Step-by-step solution

Volume of wire having cross-sectional area AA and length ll is, V=AlV = Al

Resistance of a wire is given by, R=ρlA=ρlVl=ρl2VR = \dfrac{ρl}{A} = \dfrac{ρl}{\dfrac{V}{l}} = \dfrac{ρ{l}^{2}}{V}

As change in length is small,

∆RR×100\dfrac{∆ R}{R} \times 100 % = \dfrac{2 ∆ l}{l} \times 100 % = 2 \times 0 . 4 % = 0 . 8 %

Practice Current Electricity on Quantrex Academy →

More from Current Electricity

A metal wire of cross-sectional area 0.5 mm ^2 and length 100 m is connected across a… JEE Advanced 2026As shown in the figure, the resistance of a galvanometer G can be found by the… JEE Advanced 2026The stored charge in the capacitor in steady state of the following circuit is ________ μ… JEE Main 2026A moving coil of galvanometer when shunted with 2\,Ω resistance gives a full scale… JEE Main 2026Two cells of emfs 1 V and 2 V and internal resistance 2\,Ω and 1\,Ω , respectively… JEE Main 2026Refer to the circuit diagram given below. The heat generated across the 6\,Ω resistance… JEE Main 2026In an experiment to determine the resistance of a given wire using Ohm's law, the… JEE Main 2026Under steady state condition the potential difference across the capacitor in the circuit… JEE Main 2026 Full Current Electricity list All JEE Main PYQs