Correct option is A
The
equivalent length of a column is a measure of its effective length, which depends on the end conditions. The column with the highest equivalent length has
one end fixed and the other end entirely free. This configuration leads to the highest possible effective length, making the column the least stable.
One end fixed, the other entirely free: This configuration has the highest equivalent length, which makes the column most vulnerable to buckling.
Both ends hinged or pin-joined: This configuration has a lower equivalent length compared to the free-end scenario.
One end fixed, the other end hinged: This configuration has a moderate equivalent length.
Both ends fixed: This configuration provides the lowest equivalent length, making the column the most stable.
Therefore, the correct answer is (a) One end fixed, the other entirely free.