Question

Derive the dimensional formula of planks constant

Answer 1

Answer:

Planck's Constant (h) = Energy(E) / frequency (ν).

Explanation:

Putting these values in above equation we get, Dimensional Formula of Planck's constant = M1L2T-1. SI unit of Planck's constant is joule-seconds (j-s).

Answer 2

Planck's constant formula :

$\sf E \: = h \nu \: \\ \sf \: or \\ \sf \: h = \frac{E}{ \nu}$

Where , E = Energy , h = Planck's constant and nu(v) = frequency

Substituting the dimension formulas of energy and frequency ,

h= [ML²T-²] / [ T-¹]

h = [ML²T-²+¹]

h = [ML²T-¹]

• Planck gave the constant that predicts the dual behaviour of light : particle and wave and was given the name Planck's constant denoted by h .

• It's SI unit is Joule second (Js) .

• Dimensional formula should always be written in the square bracket and the alphabets should always be positive .

• Planck stated that the energy radiated by photons is in descrete packets called quanta which cannot be further divided and was measured as a product of Planck's constant valued 6.62 × 10^-³⁴and frequency of the light .