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JEE Main 202522 JanuaryMorning Shift
Exam
JEE Main
Year
2025
Date
22 January
Shift
Morning Shift
Subject
Physics
Chapter
Current Electricity

JEE Main 2025 · 22 January · Morning Shift · Physics · Current Electricity

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

Given below are two statements : Statement-I : The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs. Statement-II : The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries. In the light of the above statements, choose the correct answer from the options given below.

Options

  1. ABoth Statement-I and Statement-II are false
  2. BStatement-I is false but Statement-II is true
  3. CBoth Statement-I and Statement-II are true
  4. DStatement-I is true but Statement-II is false

Correct answer

B. Statement-I is false but Statement-II is true

Step-by-step solution

In parallel connections 1req=1r1+1r2Eeqreq=E1r1+E2r2\begin{aligned} & \frac{1}{r_{\mathrm{eq}}}=\frac{1}{r_1}+\frac{1}{r_2} \\ & \frac{E_{\mathrm{eq}}}{r_{\mathrm{eq}}}=\frac{E_1}{r_1}+\frac{E_2}{r_2} \end{aligned} If E_1=E_2 and r1=r2,Eeq =E1=E2∴r_1=r_2, E_{\text{eq }}=E_1=E_2 \therefore Statement 1 is false. req r_{\text{eq }} is less then both r_1 and r2∴r_2 \therefore Statement II is true
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