An expression for a dimensionless quantity $P$ is given by $P=\frac{\alpha}{\beta} \log _{e}\left(\frac{ kt }{\beta x }\right)$; where $\alpha$ and $\beta$ are constants, $x$ is distance ; $k$ is Boltzmann constant and $t$ is the temperature. Then the dimensions of $\alpha$ will be
An expression for a dimensionless quantity $P$ is given by $P=\frac{\alpha}{\beta} \log _{e}\left(\frac{ kt }{\beta x }\right)$; where $\alpha$ and $\beta$ are constants, $x$ is distance ; $k$ is Boltzmann constant and $t$ is the temperature. Then the dimensions of $\alpha$ will be
- [JEE MAIN 2022]
- A
$[ M ^{0} L ^{-1} T ^{0} ]$
- B
$[ ML ^{0} T ^{-2}]$
- C
$[ MLT ^{-2}]$
- D
$[ ML ^{2} T ^{-2}]$
Similar Questions
The dimensional formula ${M^0}{L^2}{T^{ - 2}}$ stands for
The dimensional formula ${M^0}{L^2}{T^{ - 2}}$ stands for
What is dimension of a physical quantity ?
What is dimension of a physical quantity ?
The potential energy of a particle varies with distance $x$ from a fixed origin as $U\, = \,\frac{{A\sqrt x }}{{{x^2} + B}}$ Where $A$ and $B$ are dimensional constants then find the dimensional formula for $A/B$
The potential energy of a particle varies with distance $x$ from a fixed origin as $U\, = \,\frac{{A\sqrt x }}{{{x^2} + B}}$ Where $A$ and $B$ are dimensional constants then find the dimensional formula for $A/B$
Dimensions of coefficient of viscosity are
Dimensions of coefficient of viscosity are
- [AIIMS 1993]
The dimensions of inter atomic force constant are
The dimensions of inter atomic force constant are