A steel wire is 1 ,m long and 1 ,mm ^2 in are | vedclass

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

Question

(c)

$\frac{F L}{A Y}=\Delta x$

Since $A, Y$ remain constant in given case We can say

$F L \propto \Delta x$

or $\frac{F_1 L_1}{F_2 L_2}=\f

Vedclass · Accepted Answer

$400$

Vedclass · Answer

(c)

$\frac{F L}{A Y}=\Delta x$

Since $A, Y$ remain constant in given case We can say

$F L \propto \Delta x$

or $\frac{F_1 L_1}{F_2 L_2}=\frac{\Delta x_1}{\Delta x_2}$  $\left\{\begin{array}{l}F_1=200 \,N \ \Delta x_1=1 \,mm \ \Delta x_2=10.02 \,m -10 \,m =0.02 \,m =20 \,mm \ L_1=1 \,m \ L_2=10 \,m \end{array}ight.$

Substitute the values

$\frac{200 	imes 1}{F_2 	imes 10}=\frac{1 \,mm }{20 \,mm }$

$F_2=400 \,N$

A steel wire is $1 \,m$ long and $1 \,mm ^2$ in area of cross-section. If it takes $200 \,N$ to stretch this wire by $1 \,mm$, how much force will be required to stretch a wire of the same material as well as diameter from its normal length of $10 \,m$ to a length of $1002 \,cm$ is ........ $N$

Similar Questions

Figure shows the strain-stress curve for a given material. What are $(a)$ Young’s modulus and $(b)$ approximate yield strength for this material?

The edge of an aluminium cube is $10\; cm$ long. One face of the cube is firmly fixed to a vertical wall. A mass of $100 \;kg$ is then attached to the opposite face of the cube. The shear modulus of aluminium is $25\; GPa$. What is the vertical deflection of this face?

Figure shows graph between stress and strain for a uniform wire at two different femperatures. Then

Young's modules of material of a wire of length ' $L$ ' and cross-sectional area $A$ is $Y$. If the length of the wire is doubled and cross-sectional area is halved then Young's $modules$ will be :

Four uniform wires of the same material are stretched by the same force. The dimensions of wire are as given below. The one which has the minimum elongation has