Amount of solar energy received on the earth's surface per unit area per unit time is defined a solar constant. Dimension of solar constant is
$ML ^{2} T ^{-2}$
$MLT ^{-2}$
$M ^{2} L ^{0} T ^{-1}$
$ML ^{0} T ^{-3}$
If $w, x, y$ and $z$ are mass, length, time and current respectively, then $\frac{x^2w}{y^3z}$ has dimensional formula same as
A spherical body of mass $m$ and radius $r$ is allowed to fall in a medium of viscosity $\eta $. The time in which the velocity of the body increases from zero to $0.63$ times the terminal velocity $(v)$ is called time constant $(\tau )$. Dimensionally $\tau $ can be represented by
Dimensional formula of capacitance is
Dimensional formula $M{L^{ - 1}}{T^{ - 2}}$ does not represent the physical quantity
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.