Question

Find the dimensions of Planck's constant h from the equation E = hv where E is the energy and v is the frequency.

Answer 1

E = hv, where E is the energy and v is the frequency
$$\begin{gathered} \mathrm{Here},\left[E\right]=\left[{\mathrm{ML}}^2{\mathrm{T}}^{-2}\right]\mathrm{and}\left[v\right]=\left[{\mathrm{T}}^{-1}\right] \\ \mathrm{So},\left[h\right]=\frac{\left[E\right]}{\left[v\right]}=\frac{\left[{\mathrm{ML}}^2{\mathrm{T}}^{-2}\right]}{\left[{\mathrm{T}}^{-1}\right]}=\left[{\mathrm{ML}}^2{\mathrm{T}}^{-1}\right] \end{gathered}$$