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JEE Main 2026 · 6 Apr · Shift 1, Physics question 34

The two wires AA and BB of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire AA and wire BB is 20/11. When the joined wire is kept under certain tension the elongations in the wires AA and BB are equal. If the length of wire AA is 2.2 m, then the length of wire BB is ________ m.

Choose one option
Answer and worked solution

Official answer: C

Equal elongation. ΔL=FLAY\Delta L=\dfrac{FL}{AY}, with the same F and A, so LAYA=LBYB\dfrac{L_A}{Y_A}=\dfrac{L_B}{Y_B}.

Length of B.
LB=2.2×1120=1.21 m.L_B=2.2\times\frac{11}{20}=1.21\text{ m}.

(C)