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Which of the following rods of same material undergoes maximum elongation

Which of the following rods of same material undergoes maximum elongation when subjected to a given force?

Options

(a) l=1 m, d=2 mm
(b) l=2 m, d=1 mm
(c) l=1 m, d=1 mm
(d) l=2 m, d=2 mm

Correct Answer:

l=2 m, d=1 mm

Explanation:

Δl(elongation) = Fl/YA
F is same. Young modulus is same.
.·. Δl α 1/r² .

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