Question

If the energy E of a photon is equal to hv where v is the frequency and h is Planck's constant then the dimensions of Planck's constant is

Answer 1

Explanation:

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.