Planck's constant (denoted by h) is a fundamental physical constant in quantum mechanics. Deriving its dimensional formula is a frequent question in Class 11 Physics.
Max Planck introduced this constant in 1900 to describe the quantization of energy, laying the foundation for all of quantum physics.
Planck's constant relates the energy of a photon to its frequency, according to the equation:
E = hν (Where E = Energy, h = Planck's constant, ν = frequency)
Therefore: h = E / ν
Dimension of Energy (E): Energy = Work = Force × Distance E = [M L T⁻²] × [L] = [M L² T⁻²]
Dimension of Frequency (ν): Frequency = 1 / Time period ν = [T⁻¹]
Dimension of Planck's Constant (h): h = [E] / [ν] h = [M L² T⁻²] / [T⁻¹] h = [M L² T⁻²⁺¹] h = [M¹ L² T⁻¹]
Note: The dimensional formula of Planck's constant [M L² T⁻¹] is exactly the same as that of Angular Momentum.
No, Planck's constant has dimensions [M L² T⁻¹] and units (Joule-second). Dimensionless constants include pure numbers like π or refractive index.
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