1.

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
Answer» D. A\[\to \]2, B\[\to \]4, C\[\to \]3, D\[\to \]1


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