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JEE Main 202427 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
27 January
Shift
Evening Shift
Subject
Physics
Chapter
Current Electricity

JEE Main 2024 · 27 January · Evening Shift · Physics · Current Electricity

Wheatstone bridge principle is used to measure the specific...

Wheatstone bridge principle is used to measure the specific resistance (S1)\left({S}_{1}\right) of given wire, having length LL, radius rr. If XX is the resistance of wire, then specific resistance is : S1=X(πr2L).Ifthelengthofthewiregetsdoubledthenthevalueofspecificresistancewillbe:{S}_{1} = X \left(\dfrac{\pi{r}^{2}}{L}\right). If the length of the wire gets doubled then the value of specific resistance will be :

Options

  1. AS14\dfrac{{S}_{1}}{4}
  2. B2S12{S}_{1}
  3. CS12\dfrac{{S}_{1}}{2}
  4. DS1{S}_{1}

Correct answer

D. S1{S}_{1}

Step-by-step solution

The specific resistance of a material, also known as electrical resistivity, is a measure of how strongly a specific material opposes the flow of electric current.

Specific resistance is an intrinsic property of a material and is dependent on factors such as the material's composition, temperature, and crystal structure. It is the counterpart of conductivity, with which it is inversely proportional.

Hence, even if the length of the wire is doubled, the specific resistance remains the same, i.e., S1{S}_{1}.

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