An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle
$ML{T^{ - 2}}$
$M{L^2}{T^{ - 2}}$
$ML{T^2}$
$L$
The dimensions of ${\left( {{\mu _0}{\varepsilon _0}} \right)^{ - \frac{1}{2}}}$ are
Dimensional formula for angular momentum is
Match List$-I$ with List$-II$
List$-I$ | List$-II$ |
$(a)$ $h$ (Planck's constant) | $(i)$ $\left[ M L T ^{-1}\right]$ |
$(b)$ $E$ (kinetic energy) | $(ii)$ $\left[ M L ^{2} T ^{-1}\right]$ |
$(c)$ $V$ (electric potential) | $(iii)$ $\left[ M L ^{2} T ^{-2}\right]$ |
$(d)$ $P$ (linear momentum) | $( iv )\left[ M L ^{2} I ^{-1} T ^{-3}\right]$ |
Choose the correct answer from the options given below
From the equation $\tan \theta = \frac{{rg}}{{{v^2}}}$, one can obtain the angle of banking $\theta $ for a cyclist taking a curve (the symbols have their usual meanings). Then say, it is
The physical quantity that has the same dimensional formula as pressure is :