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Science — CBSE Class 10 board question

Q1. [1]
Study the I-V graph for three resistors of resistances R₁, R₂ and R₃ and select the correct statement from the following :
  1. (A) R₁ = R₂ = R₃
  2. (B) R₁ > R₂ > R₃
  3. (C) R₃ > R₂ > R₁
  4. (D) R₂ > R₃ > R₁
Previously asked in CBSE board exam
2024 31/2/1 Q15
Generated by claude-sonnet-4-6 · 2026-06-15 06:46 · grounding rag
Model Answer

(C) R₃ > R₂ > R₁

In an I-V graph, slope = I/V = 1/R. A steeper slope means lower resistance. Since R₁ has the steepest slope, it has the least resistance, giving R₃ > R₂ > R₁.

Explanation

The key concept: in an I-V graph, slope = 1/R (from Ohm's law, I = V/R). A steeper line → higher current for same voltage → lower resistance. R₁ is steepest, so R₁ is smallest; R₃ is least steep, so R₃ is largest. Students often confuse steeper slope with higher resistance — remember it is the inverse.

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