A spring of certain length and having spring constant `k` is cut into two pieces of length in a ratio `1:2`. The spring constants of the two pieces are in a ratio `:`

Options

A. `1 : 2`
B. `2 : 3`
C. `2 : 1`
D. `1 : 3`

Answer

C

Explanation

The ratio of the lengths of two parts `=(l_(1))/(l_(2))=(1)/(2)`
and `because` spring constant `K prop (1)/(l) therefore (K_(1))/(K_(2))=(l_(2))/(l_(1))=(2)/(1)`