Which of the following relation cannot be deduced using dimensional analysis? [the symbols have their usual meanings]
All of these
$v=u+ at$
$k=\frac{1}{2} m v^2$
$y=A \sin (\omega t+k x)$
The frequency $(v)$ of an oscillating liquid drop may depend upon radius $(r)$ of the drop, density $(\rho)$ of liquid and the surface tension $(s)$ of the liquid as : $v=r^{ a } \rho^{ b } s ^{ c }$. The values of $a , b$ and $c$ respectively are
If $\varepsilon_0$ is permittivity of free space, $e$ is charge of proton, $G$ is universal gravitational constant and $m_p$ is mass of a proton then the dimensional formula for $\frac{e^2}{4 \pi \varepsilon_0 G m_p{ }^2}$ is
Which of the following combinations has the dimension of electrical resistance ( ${ \varepsilon _0}$ is the permittivity of vacuum and ${\mu _0}$ is the permeability of vacuum) ?
The dimension of quantity $\frac{L}{RCV}$ is
Define dimensional formula and dimensional equation by using suitable example.