Two wires A and B made of different materials of lengths 6.0 cm and 5.4 cm, respectively and area of cross sections 3.0 × 10⁻⁵ m² and 4.5 × 10⁻⁵ m², respectively are stretched by the same magnitude under a given load. The ratio of the Young's modulus of A to that of B is x: 3. The value of x is ______ (a) 2 (b) 1 (c) 4 (d) 5

Answer: (d). Same load and same extension: Y = (FL)/(AΔ l) ∝ L/A (YA)/(YB) = (6.0/3.0)/(5.4/4.5) = 2/1.2 = 5/3 So x = 5: answer (d).

Two wires A and B made of different materials of lengths 6.0 cm and… | JEE Main 2026 (28 Jan, Shift 1)

Q3JEE Main 2026 · 28 JAN · SHIFT 1Medium

Young's Modulus & Elongation

Two wires $A$ and $B$ made of different materials of lengths 6.0 cm and 5.4 cm, respectively and area of cross sections $3.0 \times 10^{-5}\text{ m}^2$ and $4.5 \times 10^{-5}\text{ m}^2$ , respectively are stretched by the same magnitude under a given load. The ratio of the Young's modulus of $A$ to that of $B$ is $x : 3$ . The value of $x$ is ______

Show answer and solution

Answer: (d)

Same load and same extension: $Y = \frac{FL}{A\Delta l} \propto \frac{L}{A}$
$\frac{Y_A}{Y_B} = \frac{6.0/3.0}{5.4/4.5} = \frac{2}{1.2} = \frac{5}{3}$
So $x = 5$ : answer (d).

Report a mistake

Young's Modulus & Elongation question from JEE Main 2026 (28 Jan, Shift 1)

More questions on Young's Modulus & Elongation