W h a t space i s space f o r c e space r e q u i r e d space t o space s t r e t c h space a space s t e e l space w i r e space 1 s q. c m space i n space c r o s s minus s e c t i o n space t o space d o u b l e space i t s space l e n g t h ? left parenthesis Y subscript s equals 2 cross times 10 to the power of 11 N space m to the power of negative 2 end exponent right parenthesis

Asked by surajsubedi14 | 28th Feb, 2015, 08:28: PM

Expert Answer:

begin mathsize 12px style Given colon Area space of space cross space section comma space straight A equals space 1 space cm squared space equals space 10 to the power of negative 4 end exponent space straight m squared Young apostrophe straight s space modulus comma space straight Y space equals space 2 space cross times space 10 to the power of 11 space straight N divided by straight m squared Change space in space length comma space ΔL space equals space straight L space left parenthesis since space length space is space to space be space double right parenthesis Hence comma space straight Y space equals space fraction numerator FL over denominator straight A space ΔL end fraction rightwards double arrow space straight F space equals space fraction numerator YA ΔL over denominator straight L end fraction rightwards double arrow space straight F space equals space fraction numerator 2 space cross times space 10 to the power of 11 space cross times space 10 to the power of negative 4 space cross times space end exponent straight L space over denominator straight L end fraction space rightwards double arrow space straight F space equals space 2 space cross times space 10 to the power of 7 space straight N Hence comma space space 2 space cross times space 10 to the power of 7 space straight N space force space is space required. end style

Answered by Priyanka Kumbhar | 1st Mar, 2015, 01:22: PM