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  9. Q110

RRB Group D (Level-1 posts) 2022 · Question 110 of 598

The I-V graph of three resistances R1, R2, and R3 is shown in the figure below. The correct relation between R1, R2, and R3 is:

  1. AR3 < R1 < R2Correct
  2. BR3 > R1 > R2
  3. CR1 > R2 > R3
  4. DR1 < R2 < R3

Answer: A. R3 < R1 < R2

Explanation

To find the correct relation between R1R_1R1​, R2R_2R2​, and R3R_3R3​, let's analyze the I-V graph provided: 1. In an I-V graph (current vs. voltage), the slope of each line represents the inverse of resistance (1R\frac{1}{R}R1​) because V=IRV = IRV=IR, and thus R=VIR = \frac{V}{I}R=IV​. 2. A steeper slope (closer to the vertical axis) indicates a lower resistance, while a gentler slope (closer to the horizontal axis) indicates a higher resistance. From the graph: R3R_3R3​has the steepest slope, meaning it has the lowest resistance. R1R_1R1​has a moderate slope, meaning it has a resistance higher than R3R_3R3​but lower than R2R_2R2​. R2R_2R2​has the gentlest slope, meaning it has the highest resistance. Conclusion: The correct relationship between the resistances is: R2>R1>R3

Source: RRB Group D 2022 Prev. Yr. Paper (17 Aug 2022) (Shift 2) - Prepp · reliable-secondary

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