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

Hello Dear.

Given Equation ⇒

E = h × v
∴ h = E/v

Now, Let us finding the Dimension of the Frequency and Energy,

Frequency = 1/Time Period.
= 1/T
= T⁻¹

Energy = Force × Displacement
= Mass × Acceleration × Length
= Mass × Velocity/Time × Length.
= M L T⁻² × L
= M L² T⁻²

∴ Dimension of Plant Constant(h)
= Dimension of Energy/Dimension of Frequency
= (M L² T⁻²) / (T⁻¹)
= M L² T⁻¹


Hence, the Dimension of the Plant Constant is M L² T⁻¹.


Hope it help