Neco 2023 Physics Question 11

Practice objective / multiple choice question 11 from the 2023 Neco Physics examination.

Neco 2023 Physics Objective / Multiple Choice Hard Difficulty
Question 11 NECO • 2023 • PHYSICS • objective

A battery of emf E and internal resistance r is connected to two resistors R1 and R2 in series. When R1 = 4 \(\Omega\), the current through the circuit is 2 \(\text{A}\) and the terminal voltage across the external resistors is 12 \(\text{V}\). When R1 is replaced by an 8 \(\Omega\) resistor (R2 unchanged), the terminal voltage drops to 13 \(\text{V}\). Determine (i) the resistance R2, (ii) the internal resistance r, and (iii) the emf E of the battery.

Answer Options

A. R2 = 1 \\(\\Omega\\), r = \\frac{8}{7}\\ \\(\\Omega\\) (≈1.14 \\(\\Omega\\)), E = \\frac{96}{7}\\ \\text{V} (≈13.71 \\text{V})
Correct Answer B. R2 = 2 \(\Omega\), r = \frac{10}{7}\ \(\Omega\) (≈1.43 \(\Omega\)), E = \frac{104}{7}\ \text{V} (≈14.86 \text{V})
C. R2 = 2 \\(\\Omega\\), r = \\frac{12}{7}\\ \\(\\Omega\\) (≈1.71 \\(\\Omega\\)), E = \\frac{108}{7}\\ \\text{V} (≈15.43 \\text{V})
D. R2 = 3 \\(\\Omega\\), r = \\frac{14}{7}\\ \\(\\Omega\\) (≈2 \\(\\Omega\\)), E = \\frac{112}{7}\\ \\text{V} (≈16 \\text{V})
Correct Answer
B
Correct Option:
R2 = 2 \(\Omega\), r = \frac{10}{7}\ \(\Omega\) (≈1.43 \(\Omega\)), E = \frac{104}{7}\ \text{V} (≈14.86 \text{V})

About This Question

This is Neco 2023 Physics Question 11. It is one of the objective questions from the 2023 Neco Physics examination.

Difficulty level: Hard .

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