InterviewSolution
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InterviewSolution
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In the relation `P = (alpha)/(beta) e^((alpha Z)/(k theta))`, `P` is pressure, `Z` is height, `k` is Boltzmann constant and `theta` is the temperature. Find the dimensions of `alpha` and `beta` |
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Answer» Power of exponential is dimesnionless. `(alpha Z)/(k theta)` is dimensionless. `(alpha [L])/([ML^(2) T^(-2) K ^(-1)] [K])` is dimensionless. `[alpha] = [MLT^(-2)]` Dimensions of `(alpha)/(beta)` = Dimensions of `P` `([MLT^(-2)])/(beta) = [ML^(01) T^(-2)]` `[beta] = [L^(2)]` |
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