When a certain weight is suspended from a lon | vedclass

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

Question

(C) The Young's modulus $Y$ is given by the formula $Y = \frac{F L}{A \Delta L}$,where $F$ is the force,$L$ is the original length,$A$ is the cross-se

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(C) The Young's modulus $Y$ is given by the formula $Y = \frac{F L}{A \Delta L}$,where $F$ is the force,$L$ is the original length,$A$ is the cross-sectional area,and $\Delta L$ is the change in length.Rearranging for $\Delta L$,we get $\Delta L = \frac{F L}{A Y}$.Since the area $A = \pi r^2 = \pi (D/2)^2 = \frac{\pi D^2}{4}$,we have $\Delta L \propto \frac{1}{D^2}$.Given the initial extension $\Delta L_1 = 1 \ cm$ and the new diameter $D_2 = D_1 / 2$,we find the ratio:$\frac{\Delta L_2}{\Delta L_1} = \left( \frac{D_1}{D_2} ight)^2 = \left( \frac{D_1}{D_1 / 2} ight)^2 = 2^2 = 4$.Therefore,$\Delta L_2 = 4 	imes \Delta L_1 = 4 	imes 1 \ cm = 4 \ cm$.

When a certain weight is suspended from a long uniform wire,its length increases by $1 \ cm$. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one,the increase in length will be ......... $cm$.

Similar Questions

Two identical metal plates show the photoelectric effect when light of wavelength ${\lambda _A}$ falls on plate $A$ and ${\lambda _B}$ falls on plate $B$,where ${\lambda _A} = 2{\lambda _B}$. The maximum kinetic energy is:

$A$ candle of diameter $d$ is floating on a liquid in a cylindrical container of diameter $D$ $(D >> d)$ as shown in the figure. If it is burning at the rate of $2 \ cm/hour$,then the top of the candle will

The moment of inertia of a thin circular lamina of mass $1\,kg$ and diameter $0.2\,m$ rotating about one of its diameters is:

Which of the following is a fossil Pteridophyte?

Vedclass Test Series

Exam Paper Generator

Online Exam Module