A column of height h with rectangular cross-section of a × 2a has a buckling load of P. If the cross-section is changed to 0.5a × 3a and height changed to 1.5h, the buckling load of the redesigned column will be
1
\(\frac{P}{{12}}\)
2
\(\frac{P}{{4}}\)
3
\(\frac{P}{{2}}\)
4
\(\frac{3P}{{2}}\)