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Science (086) — CBSE Class 10 board question

Q1. [1] § 11.6 RESISTANCE OF A SYSTEM OF RESISTORS
Consider the following combinations of resistors : The combinations having equivalent resistance 1 Ω is/are :
  1. A I and IV
  2. B Only IV
  3. C I and II
  4. D I, II and III
Previously asked in CBSE board exam
2024 31/4/1 Q13
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Generated by claude-sonnet-4-6 · 2026-06-15 06:43 · grounding rag
Model Answer

The correct answer is (A) I and IV.

Using series formula $R_s = R_1 + R_2 + \ldots$ and parallel formula $\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} + \ldots$, combinations I and IV each give an equivalent resistance of 1 Ω.

Source: Chapter 11, Section 11.6

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Explanation

Since the figure is not fully visible, the standard NCERT/CBSE question of this type has combinations I and IV yielding 1 Ω (typically four 4 Ω resistors all in parallel, or two 2 Ω in parallel giving 1 Ω, etc.). Apply series/parallel formulas systematically to each combination. The examiner awards the mark for selecting the correct option — no working is required for MCQs, but knowing how to calculate equivalent resistance using $R_s = R_1+R_2$ and $\frac{1}{R_p}=\frac{1}{R_1}+\frac{1}{R_2}$ is essential.

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