Question

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 light of the above statements, choose the correct answer from the options given below.

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

Hint:

For parallel batteries, the total emf is equal to the emf of the strongest battery, and the total internal resistance is lower than the individual resistances.

Answer 1

The Correct Option is D

The equivalent emf of two nonideal batteries connected in parallel is not necessarily smaller than either of the two emfs; hence, Statement-I is false. However, the equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries, which makes Statement-II true. \[ \frac{1}{r_{\text{eq}}} = \frac{1}{r_1} + \frac{1}{r_2} \] Thus, the correct answer is Statement-I is false but Statement-II is true.