The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied? (a) length = 200 cm, diameter = 2 mm (b) length = 300 cm, diameter = 3 mm (c) length = 50 cm, diameter = 0.5 mm (d) length = 100 cm, diameter = 1 mm

Answer: (c). Same material and tension: Δ L ∝ L/d² (a) 200/4 = 50, (b) 300/9 ≈ 33, (c) (50)/(0.25) = 200, (d) 100/1 = 100 Largest for (c). So the answer is (c).

The following four wires are made of the same material. Which of… | NEET 2013

Q30NEET 2013Easy

Young's Modulus & Elongation

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

Show answer and solution

Answer: (c)

Same material and tension: $\Delta L \propto \frac{L}{d^2}$
(a) $\frac{200}{4} = 50$ , (b) $\frac{300}{9} \approx 33$ , (c) $\frac{50}{0.25} = 200$ , (d) $\frac{100}{1} = 100$
Largest for (c).
So the answer is (c).

Report a mistake

More questions on Young's Modulus & Elongation

Two wires are made of the same material and have the same volume. However wire 1 has…JEE Main 2009 (AIEEE)
The Young's modulus of steel wire of radius r and length L is Y. If the radius r and…JEE Main 2026 (5 Apr, Shift 1)
The two wires A and B of equal cross-section but of different materials are joined…JEE Main 2026 (6 Apr, Shift 1)
Two wires A and B made of different materials of lengths 6.0 cm and 5.4 cm, respectively…JEE Main 2026 (28 Jan, Shift 1)
A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a…JEE Main 2025 (8 Apr, Shift 2)
Two wires A and B are made of same material having ratio of lengths (LA)/(LB) = 1/3 and…JEE Main 2025 (7 Apr, Shift 1)
Young's modulus of material of a wire of length ' L ' and cross-sectional area A is Y. If…JEE Main 2024 (30 Jan, Shift 1)
A wire of length L and radius r is clamped at one end. If its other end is pulled by a…JEE Main 2024 (29 Jan, Shift 2)

Young's Modulus & Elongation question from NEET 2013

More questions on Young's Modulus & Elongation