1.

The potential energy of a particle varies with distance \[\chi \] as \[U=\frac{Ax_{{}}^{1/2}}{x_{{}}^{2}+B}\] where A and B are constants. The dimensional formula for A x B is

A. \[M_{{}}^{1}L_{{}}^{7/2}T_{{}}^{-2}\]     
B. \[M_{{}}^{1}L_{{}}^{1/2}T_{{}}^{-2}\]
C. \[M_{{}}^{1}L_{{}}^{5/2}T_{{}}^{-2}\]     
D. \[M_{{}}^{1}L_{{}}^{9/2}T_{{}}^{-2}\]
Answer» C. \[M_{{}}^{1}L_{{}}^{5/2}T_{{}}^{-2}\]     


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