Question:medium
The Young's modulus of steel wire of radius $r$ and length $L$ is $Y$. If the radius $r$ and length $L$ of the wire are doubled then the value of $Y$:
The Young's modulus of steel wire of radius $r$ and length $L$ is $Y$. If the radius $r$ and length $L$ of the wire are doubled then the value of $Y$:
Updated On: Apr 12, 2026
- increases by two times
- reduces by half
- remains unchanged
- becomes one fourth
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on Elasticity
- A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is \( 600 \times 10^{-6} \text{ m}^3 \). The elastic potential energy stored in the wire in stretched condition would be _____J. (Given Young's modulus of copper = \( 1.1 \times 10^{11} \text{ N/m}^2 \))}
- JEE Main - 2026
- Physics
- Elasticity
- Figure represents the extension (\(\Delta l\)) of a wire of length \(l\), suspended from the ceiling of the room at one end and with a load \(W\) connected to the other end. If the cross-sectional area of the wire is \(10^{-5}\,\text{m}^2\) then the Young’s modulus of the wire is _____ N/m\(^2\).
- JEE Main - 2026
- Physics
- Elasticity
- Two wires as shown in the figure below, made of steel and have breaking stress of $12 \times 10^8 \text{ N/m}^2$. Area of cross-section of upper wire is $0.008 \text{ cm}^2$ and of lower wire is $0.004 \text{ cm}^2$. The maximum mass that can be added to pan without breaking any wire is _________ kg. (take $g = 10 \text{ m/s}^2$)}
- JEE Main - 2026
- Physics
- Elasticity
- A cube has side length \(5 \text{ cm}\) and modulus of rigidity \(10^5 \text{ N/m}^2\). The displacement produced by a force of \(10 \text{ N}\) in the upper face of the cube is ____ \text{mm}.
- JEE Main - 2026
- Physics
- Elasticity
- Want to practice more? Try solving extra ecology questions todayView All Questions
