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JEE Main 202315 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
15 April
Shift
Morning Shift
Subject
Physics
Chapter
Current Electricity

JEE Main 2023 · 15 April · Morning Shift · Physics · Current Electricity

Given below are two statements: Statement I : The equivalent...

Given below are two statements:

Statement I : The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination.

Statement II : The resistivity of the material is independent of temperature. In the light of the above statements, choose the correct answer from the options given below:

Options

  1. ABoth Statement II and Statement IIII are false
  2. BBoth Statement II and Statement IIII are true
  3. CStatement II is true but Statement IIII is false
  4. DStatement II is false but Statement IIII is true

Correct answer

A. Both Statement II and Statement IIII are false

Step-by-step solution

The formula for series equivalent resistance is given by

Rs=R1+R2+......+Rn{R}_{s} = {R}_{1} + {R}_{2} + . . . . . . + {R}_{n}.

Hence, the equivalent resistance will be the highest value compared to other resistances.

The resistivity of a material is given by,

ρ=ρ0(1+α\DeltaT)ρ = {ρ}^{0}\left(1 + \alpha\DeltaT\right)

Clearly, the resistivity is dependant on temperature.

Hence, this is the right option.

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