Question:medium
Two wires of same material and same volume have cross-sectional areas A and 2A. If the first wire is elongated by Δ x under force F, the force required to stretch the second wire by the same amount is:
Two wires of same material and same volume have cross-sectional areas A and 2A. If the first wire is elongated by Δ x under force F, the force required to stretch the second wire by the same amount is:
Show Hint
For same volume, force ∝ (area)².
Updated On: Mar 18, 2026
- 4F
- 6F
- 9F
- F
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on Stress and Strain
- A brass wire of length $2\,\text{m}$ and radius $1\,\text{mm}$ at $27^\circ\text{C}$ is held taut between two rigid supports. Initially it was cooled to a temperature of $-43^\circ\text{C}$ creating a tension $T$ in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to $1.4T$ is ___$^\circ$C.
- JEE Main - 2026
- Physics
- Stress and Strain
- One end of a steel wire is fixed to the ceiling of an elevator moving up with an acceleration \( 2 \, \text{m/s}^2 \) and a load of 10 kg hangs from the other end. If the cross-section of the wire is \( 2 \, \text{cm}^2 \), then the longitudinal strain in the wire will be (Take \( g = 10 \, \text{m/s}^2 \) and \( Y = 2.0 \times 10^{11} \, \text{N/m}^2 \)).
- WBJEE - 2025
- Physics
- Stress and Strain
- Two blocks of mass \(2 \, \text{kg}\) and \(4 \, \text{kg}\) are connected by a metal wire going over a smooth pulley as shown in the figure. The radius of the wire is \(4.0 \times 10^{-5} \, \text{m}\) and Young's modulus of the metal is \(2.0 \times 10^{11} \, \text{N/m}^2\). The longitudinal strain developed in the wire is \(\frac{1}{\alpha \pi}\). The value of \(\alpha\) is _____. [Use \(g = 10 \, \text{m/s}^2\)]
- JEE Main - 2024
- Physics
- Stress and Strain
The Young's modulus of a steel wire of length \(6 m\) and cross-sectional area \(3 \,mm ^2\), is \(2 \times 10^{11}\) \(N / m ^2\). The wire is suspended from its support on a given planet A block of mass \(4 kg\) is attached to the free end of the wire. The acceleration due to gravity on the planet is \(\frac{1}{4}\) of its value on the earth The elongation of wire is (Take \(g\) on the earth \(=10\, m / s ^2\)) :
- JEE Main - 2023
- Physics
- Stress and Strain
- Want to practice more? Try solving extra ecology questions todayView All Questions