Question

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

Concept of Physics - 1 , HC VERMA , Chapter "Introduction to Physics".

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 helps.

Answer 2

Heya user☺☺

Hope it will help☺☺