Two wires A and B have the same length and area of cross-section. But Young's modulus of A is two times the Young's modulus of B. Then the ratio of force constant of A to that of B is

Options

A. 1
B. 2
C. `(1)/(2)`
D. `sqrt2`

Answer

B

Explanation

Force constant, `k= (YA)/(L)`
As A and L are same for both the wires, so `k prop Y`
`:. (k_(A))/(k_(B)) = (Y_(A))/(Y_(B)) =2`