Show that stress required to double the length of wire (or) to produce 100% longitudinal strain is numerically equal to Young's modulus.

Show that stress required to double the length of wire (or) to produce

1.	Show that stress required to double the length of wire (or) to produce 100% longitudinal strain is numerically equal to Young's modulus.
Answer» Solution :`l_(1)=l, l_(2)=2l` `Deltal=2l-l=l, Y=(((F)/(A)))/(((Deltal)/(l)))` But as `(Deltal)/(l)=1`, HENCE `(F)/(A)=Y`