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In the relation, `P=alpha/beta e^((alphaZ)/(ktheta))P` is pressure, Z is distance, k is Boltzmann constant and `theta` is the temperature. The dimensional formula of `beta` will be-A. `[M^(0)L^(2)T^(0)]`B. `[ML^(2)T]`C. `[ML^(0)T^(-1)]`D. `[M^(0)L^(2)T^(-1)]` |
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Answer» Correct Answer - A Dimension formula of Boltzman constant `k rarr [M^(1)L^(2)T^(-2)theta^(-1)]` `(alpha[L^(1)])/([M^(1)L^(2)T^(-2)theta^(-1)][theta^(-1)])=M^(0)L^(0)T^(0)theta^(0)` `alpha=[M^(1)L^(1)T^(-2)], beta=([M^(1)L^(1)T^(-2)])/([M^(1)L^(-1)T^(-2)])=[L^(2)]` |
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