A metal string A is suspended from a rigid support and its free end… | JEE Main 2026 (4 Apr, Shift 2)

Q1JEE Main 2026 · 4 APR · SHIFT 2Medium

Wire Combinations & Special Cases

A metal string $A$ is suspended from a rigid support and its free end is attached to a block of mass $M$ . Second block having mass 2 M is suspended at the bottom of the first block using a string $B$ . The area of cross sections of strings $A$ and $B$ are same. The ratio of lengths of strings of $A$ to B is 2 and the ratio of their Young's moduli $(Y_A/Y_B)$ is 0.5. The ratio of elongations in $A$ to $B$ is ______.

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Answer: (d)

Tension in A (holds both blocks) $= 3Mg$ ; tension in B $= 2Mg$ .
Same area: $\frac{\Delta l_A}{\Delta l_B} = \frac{T_A}{T_B} \cdot \frac{L_A}{L_B} \cdot \frac{Y_B}{Y_A}$
$= \frac{3}{2} \times 2 \times \frac{1}{0.5} = 6$
So the answer is (d) 6.

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