The entropy of any system is given by
${S}=\alpha^{2} \beta \ln \left[\frac{\mu {kR}}{J \beta^{2}}+3\right]$
Where $\alpha$ and $\beta$ are the constants. $\mu, J, K$ and $R$ are no. of moles, mechanical equivalent of heat, Boltzmann constant and gas constant repectively. [Take ${S}=\frac{{dQ}}{{T}}$ ]
Choose the incorrect option from the following:
List$-I$ | List$-II$ |
$(a)$ Torque | $(i)$ ${MLT}^{-1}$ |
$(b)$ Impulse | $(ii)$ ${MT}^{-2}$ |
$(c)$ Tension | $(iii)$ ${ML}^{2} {T}^{-2}$ |
$(d)$ Surface Tension | $(iv)$ ${ML} {T}^{-2}$ |
A dimensionless quantity is constructed in terms of electronic charge $e$, permittivity of free space $\varepsilon_0$, Planck's constant $h$, and speed of light $c$. If the dimensionless quantity is written as $e^\alpha \varepsilon_0^\beta h^7 c^5$ and $n$ is a non-zero integer, then $(\alpha, \beta, \gamma, \delta)$ is given by
Let us consider an equation
$\frac{1}{2} m v^{2}=m g h$
where $m$ is the mass of the body. velocity, $g$ is the acceleration do gravity and $h$ is the height. whether this equation is dimensionally correct.
The dimension of the ratio of magnetic flux and the resistance is equal to that of :