Two circular columns, C-1 and C-2. made up of the same material have equal effective length. The diameter of C-1 is half of that of C - 2. Provided that the crippling stress is less than the crushing stress for both the columns, the ratio of crippling load for C-1 and C-2 will be _____________

A

$$\frac{1}{2}$$

B

$$\frac{1}{4}$$

C

$$\frac{1}{8}$$

D

$$\frac{1}{16}$$