Q52 / 75 · JEE Main 2025 (22 Jan Shift 1) · Physics

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.

  • A
    Both Statement-I and Statement-II are false
  • Correct answer
    B
    Statement-I is false but Statement-II is true
  • C
    Both Statement-I and Statement-II are true
  • D
    Statement-I is true but Statement-II is false

Solution

In parallel connections $\begin{aligned} & \frac{1}{r_{\mathrm{eq}}}=\frac{1}{r_1}+\frac{1}{r_2} \\ & \frac{E_{\mathrm{eq}}}{r_{\mathrm{eq}}}=\frac{E_1}{r_1}+\frac{E_2}{r_2} \end{aligned}$ If $E_1=E_2$ and $r_1=r_2, E_{\text {eq }}=E_1=E_2$ $\therefore$ Statement 1 is false. $r_{\text {eq }}$ is less then both $r_1$ and $r_2$ $\therefore$ Statement II is true

Hence, the correct answer is option: 'B'.

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