Derive the dimensional formula of planks constant
Answers
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).
Planck's constant formula :
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 .