A wire is stretched by 0.01 m when it is stretched by certain force. Another wire of the same material but double the length and double the diameter is stretched by the same force. What is the elongation in metres ?

A wire is stretched by 0.01 m when it is stretched by certain force. A

1.	A wire is stretched by 0.01 m when it is stretched by certain force. Another wire of the same material but double the length and double the diameter is stretched by the same force. What is the elongation in metres ?
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :`Delta l = (Fl)/(pi r^2Y)` <br/> `((Delta l)_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>))/((Delta l)_(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)) = ((l_2)/(l_1)) ((r_1)/(r_2))^(2) = 2 <a href="https://interviewquestions.tuteehub.com/tag/xx-747671" style="font-weight:bold;" target="_blank" title="Click to know more about XX">XX</a> (1/2)^(2) = 1/2` <br/> `(Delta l)_(2) = 1/2 xx 0.01` <br/> `(<a href="https://interviewquestions.tuteehub.com/tag/deltal-2053528" style="font-weight:bold;" target="_blank" title="Click to know more about DELTAL">DELTAL</a>)_(2) = 0.005 m`.</body></html>