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For a battery consider the following two statements S1 Potential difference V across the terminals of a battery may either be equal to or less than
Question

For a battery consider the following two statements
S1 Potential difference V across the terminals of a battery may either be equal to or less than the emf E of the battery.
S2 During discharge of a battery, potential difference V across two terminals of the battery is V = E − ir (r is the internal resistance of the battery and i is the current through it).
Using the code given below, select the correct answer.

A.

S1 is true but S2 is false.

B.

S1 is false but S2 is true.

C.

S1 and S2 both are correct and S2 is correct explanation of S1.

D.

S1 and S2 both are correct but S2 is not correct explanation of S1.

Correct option is C

Correct answer is C
Explanation:
The emf (E]of a battery represents the maximum potential difference it can provide when no current flows (i.e., in an open circuit).
When the battery is discharging, a current (i} flows through the internal resistance {r) of the battery. This leads to a voltage drop across r, given by ir.
Therefore, the potential difference (V} across the terminals of the battery during discharge is given by:
V = E - ir
From this equation, we see that V can be equal to E when i = 0 (no current flows) or less than E when i > 0 (current flows).
This validates that S is true, as V can be either equal to or less than E. It also shows that S is true, as it correctly expresses the relationship between V, E, i, and r during discharge.

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