A wire of length L and area of cross-section A, is stretched by a load. The elongation produced in the wire is I. If Y is the Young's modulus of the material of the wire, then the torce corstant of the wire is

Options

A. `(YL)/(A)`
B. `(Yl)/(A)`
C. `(YA)/(L)`
D. `(YA)/(l)`

Answer

C

Explanation

According to definition of Young's modulus `Y = (F//A)/(l//L)`
`therefore F = (YAl)/(L)`
Force constant `= (F)/(l) = (YA)/(L)`