Three bars having length $l, 2l$ and $3l$ and area of cross-section $A, 2 A$ and $3 A$ are joined rigidly end to end. Compound rod is subjected to a stretching force $F$. The increase in length of rod is (Young's modulus of material is $Y$ and bars are massless)
Three bars having length $l, 2l$ and $3l$ and area of cross-section $A, 2 A$ and $3 A$ are joined rigidly end to end. Compound rod is subjected to a stretching force $F$. The increase in length of rod is (Young's modulus of material is $Y$ and bars are massless)
- A
$\frac{13 F l}{2 A Y}$
- B
$\frac{F l}{A Y}$
- C
$\frac{3 F l}{A Y}$
- D
$\frac{9 F l}{A Y}$
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- [JEE MAIN 2022]