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An expression for a dimensionless quantity P is given by P = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ β β α x kt log e ; where α and β are constants, x is distance; k is Boltzmann constant and t is the temperature. Then the dimensions of α will be

1. [M 0 L –1 T 0 ]
2. [ML 0 T –2 ]
3. [MLT –2 ]
4. [ML 2 T –2 ]

Correct answer: [MLT –2 ]

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