question_answer

         Match List-I with List-II and select the correct answer using the codes given below the lists:

List-I (End conditions of columns)		List-II (Lowest critical load)
A.	Column with both ends hinged	1.	\[({{\pi }^{2}}El)/{{L}^{2}}\]
B.	Column with both ends fixed	2.	\[(2{{\pi }^{2}}El)/{{L}^{2}}\]
C.	Column with one end fixed and the other end hinged	3.	\[({{\pi }^{2}}El)/{{L}^{2}}\]
D.	Column with one end fixed and the other end free	4.	\[({{\pi }^{2}}El)/4{{L}^{2}}\]

(E is the young's modulus of elasticity of column material, L is the length and I is the second moment of area of cross-section of the column).      Codes:  

A) A\[\to \]1, B\[\to \]2, C\[\to \]3, D\[\to \]4

B) A\[\to \]3, B\[\to \]2, C\[\to \]1, D\[\to \]4

C) A\[\to \]1, B\[\to \]3, C\[\to \]2, D\[\to \]4

D) A\[\to \]2, B\[\to \]4, C\[\to \]3, D\[\to \]1