Q. 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
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
Explanation
[Solution by Dr. Abubacker] $E_{eq}=\frac{E_1r_2+E_2r_1}{r_1+r_2}$ lies between $E_1$ and $E_2$, so Statement-I is false. $r_{eq}=\frac{r_1r_2}{r_1+r_2}$ is smaller than either $r_1$ or $r_2$, so Statement-II is true. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.