Verified Solution • 2025–26 Session hard

QJEEM_2024_32: JEE Main 2024 JEEM_2024_32 Solution: Two Rods of same length and material is applied with the forces …

Two Rods of same length and material is applied with the forces F and F/2 respectively. If the cross sectional radii are R and R/2 then find the ratio of the extensions.

Multiple Choice Options

  • A 2:1
  • B `1:2
  • C `1:4
  • D `4:1

Step-by-Step Verified Solution

Δl ∝ F/A; Ratio = (F/(F/2)) × ((R/2)²/R²) => Ratio = 1:2

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