Question

Assertion : Two non-ideal batteries are connected in parallel with same polarities on same: side. The equivalent emf is smaller than either of the two emfs.
Reason : Two non-ideal batteries are connected in parallel, the equivalent inter resistance is smaller than either of the two internal resistances.
A. It both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. It both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. It Assertion is true, but the Reason is false.
D. It Assertion is false but the Reason is true.

Answer 1

Correct Answer - D
`E_(eq)=(E_//r_1+E_2//r_2)/((1//r_1)+(1//r_2))`
`=E_1[((1//r_1)+(E_2//E_1)(1//r_2))/((1//r_1)+(1//r_2))]`
So, `E_(eq)` may be greater than `E_1` also, if `E_2//E_1gt1 r_1 and r_2` are in parallel. Hence `r_(eq)` is less than both `r_1 and r_2` individually.