List$-I$ | List$-II$ |
$(a)$ Magnetic Induction | $(i)$ ${ML}^{2} {T}^{-2} {A}^{-1}$ |
$(b)$ Magnetic Flux | $(ii)$ ${M}^{0} {L}^{-1} {A}$ |
$(c)$ Magnetic Permeability | $(iii)$ ${MT}^{-2} {A}^{-1}$ |
$(d)$ Magnetization | $(iv)$ ${MLT}^{-2} {A}^{-2}$ |
A function $f(\theta )$ is defined as $f(\theta )\, = \,1\, - \theta + \frac{{{\theta ^2}}}{{2!}} - \frac{{{\theta ^3}}}{{3!}} + \frac{{{\theta ^4}}}{{4!}} + ...$ Why is it necessary for $f(\theta )$ to be a dimensionless quantity ?
$\left(P+\frac{a}{V^2}\right)(V-b)=R T$ represents the equation of state of some gases. Where $P$ is the pressure, $V$ is the volume, $T$ is the temperature and $a, b, R$ are the constants. The physical quantity, which has dimensional formula as that of $\frac{b^2}{a}$, will be
The dimensions of $K$ in the equation $W = \frac{1}{2}\,\,K{x^2}$ is