dimensions of plank constant and entropy
Answers
Answer:
The Planck’s constant (h) can be defined as a proportionality constant that relates the energy (E) of a photon to the frequency (ν) of its associated electromagnetic wave.
Mathematically,
Planck’s Constant (h) = Energy(E) / frequency (ν).
Dimensional Formula of energy = M1L2T-2.
Dimensional Formula of frequency = M0L0T-1.
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).
DIMENSIONS OF PLANCK CONSTANT
It is equal to 1.616255(18)×10−35 m. It is a base unit in the system of Planck units, developed by physicist Max Planck. The Planck length can be defined from three fundamental physical constants: the speed of light in a vacuum, the Planck constant, and the gravitational constant.
Unit system: Planck units
SI units: 1.616255(18)×10−35 m
Unit of: length
Natural units: 11.706 ℓS; 3.0542×10−25 a0
DIMENSIONS OF ENTROPY
Boltzmann's constant, and therefore entropy, have dimensions of energy divided by temperature, which has a unit of joules per kelvin (J⋅K−1) in the International System of Units (or kg⋅m2⋅s−2⋅K−1 in terms of base units).
SI unit: joules per kelvin (J⋅K−1)
In SI base units: kg⋅m2⋅s−2⋅K−1