1.

In the relation \[P=\frac{\alpha }{\beta }{{e}^{-\frac{\alpha Z}{k\theta }}}\] P is pressure, Z is the distance, k is Boltzmann constant and q is the temperature. The dimensional formula of b will be                        [IIT (Screening) 2004]

A.             \[[{{M}^{0}}{{L}^{2}}{{T}^{0}}]\]
B.                      \[[{{M}^{1}}{{L}^{2}}{{T}^{1}}]\]
C.             \[[{{M}^{1}}{{L}^{0}}{{T}^{-1}}]\]
D.                      \[[{{M}^{0}}{{L}^{2}}{{T}^{-1}}]\]
Answer» B.                      \[[{{M}^{1}}{{L}^{2}}{{T}^{1}}]\]


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