Resistance of wire: R = ρL/A. If length tripled and area doubled, new R is: MCQ with Answer and Explanation

Resistance of wire: R = ρL/A. If length tripled and area doubled, new R is:
A. R/6
B. 1.5R
C. 6R
D. 3R
Answer: Option B
Solution (By JKSSB Mock Tests)
R' = ρ(3L)/(2A) = (3/2)(ρL/A) = 1.5R. Resistance scales directly with length, inversely with area. Memory aid: 'R ∝ L/A; changes multiply'. Proportional reasoning problem testing resistance formula, frequently appearing in competitive electricity sections.

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