A spring of Force- constant `K` is cut into two pieces sach that one piece is double the length of the other . Then the long pieces will have a force - constant of

Options

A. `(2//3)K`
B. `(3//2)K`
C. `3K`
D. `6 K`

Answer

B

Explanation

(b) KEY CONCEPT
The force constant of a spring is inversoly proportional to the length of the spring .
Let the original length of spring be `L` and spring constant is `K` (given )
Therefor
` K xx L= (2L)/(3) xx K^(1) rArr K^(1) = (3)/(2) K`