Question

An expression for a dimensionless quantity P is given by $P=\frac{α}{β} log_e(\frac{kt}{βx})$; 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

• A. [M0L–1T0]
• B. [ML0T–2]
• C. [MLT–2]
• D. [ML2T–2]

Answer 1

Answer: (A)

[M0L–1T0]

Answer 2

The correct option is(C): MLT–2

$[α]=[β]=[\frac{kt}{x}]$
$=[ML2T-\frac{2}{L}]$
= [MLT–2]