The area of cross-section of a wire of length | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Given:Length of wire $L = 1.1 \, m$Area of cross-section $A = 1 \, mm^2 = 1 	imes 10^{-6} \, m^2$Mass $m = 1 \, kg$Young's modulus $Y = 1.1 	ime

Vedclass · Accepted Answer

$0.1$

Vedclass · Answer

(C) Given:Length of wire $L = 1.1 \, m$Area of cross-section $A = 1 \, mm^2 = 1 	imes 10^{-6} \, m^2$Mass $m = 1 \, kg$Young's modulus $Y = 1.1 	imes 10^{11} \, N/m^2$Acceleration due to gravity $g = 10 \, m/s^2$The formula for Young's modulus is $Y = \frac{F \cdot L}{A \cdot \Delta L}$,where $F = mg$.Rearranging for the change in length $\Delta L$:$\Delta L = \frac{mgL}{AY}$Substituting the values:$\Delta L = \frac{1 	imes 10 	imes 1.1}{(1 	imes 10^{-6}) 	imes (1.1 	imes 10^{11})}$$\Delta L = \frac{11}{1.1 	imes 10^5} = \frac{10}{10^5} = 10^{-4} \, m$Converting to $mm$:$\Delta L = 10^{-4} 	imes 10^3 \, mm = 0.1 \, mm$.

The area of cross-section of a wire of length $1.1 \, m$ is $1 \, mm^2$. It is loaded with $1 \, kg$. If Young's modulus of copper is $1.1 \times 10^{11} \, N/m^2$,then the increase in length will be ......... $mm$ (Take $g = 10 \, m/s^2$)

Similar Questions

The length of a wire becomes $l_1$ and $l_2$ when $100\,N$ and $120\,N$ tensions are applied respectively. If $10l_2 = 11l_1$,the natural length of the wire will be $\frac{1}{x} l_1$. Here,the value of $x$ is ........

$A$ rod of uniform cross-sectional area $A$ and length $L$ has a weight $W$. It is suspended vertically from a fixed support. If Young's modulus for the rod is $Y$,then the elongation produced in the rod due to its own weight is:

What is the velocity of sound in a perfectly rigid rod? Why?

In Young's experiment,if the length of the wire and the radius are both doubled,then the value of $Y$ will become:

If the interatomic spacing in a steel wire is $3.0 \mathring{A}$ and $Y_{\text{steel}} = 20 \times 10^{10} \text{ N/m}^2$, then the force constant is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module