A steel wire of diameter 1 mm, and length 2 m is stretched by applying a force of 2.2 kg wt. the extension produced in the wire is

Options

A. `2.8xx10^(-4)m`
B. `2.8xx10^(-6)m`
C. `1.4xx10^(-4)m`
D. `1.4xx10^(-6)m`

Answer

A

Explanation

`y=("stress")/("strain")`
`therefore " strain"=("stress")/(y)=(F)/(Ay)`
`=(2.2xx10)/(25xx10^(-8) xx (22)/(7) xx10^(11)xx2)`
`(l)/(L)=(7)/(50) xx 10^(-37)`
`l=(7)/(50) xx 2 xx 10^(-3) =(14)/(50) xx 10^(-3)`
`l=1.4xx10^(-4)m`