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Given below are two statements: Statement-I: The equivalent emf of two non-ideal 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.

Asked in JEE Main 22nd Jan 1st Shift 2025 · Combination of cells

Answer: (4) Statement-I is false but statement-II is true

Step-by-step solution

E_eq=(E₁r₂+E₂r₁)/(r₁+r₂) is a weighted average of E₁ and E₂.

It lies between them, so it is not smaller than both: statement-I is false.

r_eq=(r₁r₂)/(r₁+r₂) is less than each of r₁ and r₂: statement-II is true.

Why the other options are wrong

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