Question

What is the value of Planck’s constant in S.I units?

Answer 1

Hint: Planck’s constant is a physical constant that associates the energy carried by a single photon to its equivalent frequency. It is denoted by h and measured using $$J.s$$(Joules second) in the SI system. The value of Planck’s constant is very important in quantum mechanics for determining various factors affecting the photoelectric effect, matter-wave equation, atomic structure, uncertainty principle, etc.

Complete answer:
Planck’s constant is defined as an essential constant which is the same as the energy of a quantum of electromagnetic radiation by its frequency. The value of Planck’s constant or value of$$h$$ is experimentally found out. The value of h is given in SI units as $$h=6.6260715\times {10}^{-34}J.s$$. The value of the Planck constant is applied in numerous applications including Planck’s equation. The energy-related with a photon is known by the product of the Planck constant $$\left(h\right)$$and its frequency. . For example, let’s only take the h value under various factors. Let us take the photoelectric effect, the famous Planck Einstein relation is given by$$E=hf$$. In atomic structure, Energy of $$n^{th}$$ orbit is given by $E_n={\displaystyle \frac{-h{C}_0{R}_{\mathrm{\infty }}}{n^2}}$ and in the matter-wave equation we get the de Broglie wavelength as $$\lambda ={\displaystyle \frac{h}{p}}$$ and in the uncertainty principle we get $\mathrm{\Delta }x.\mathrm{\Delta }p⩾{\displaystyle \frac{{\displaystyle \frac{h}{2x}}}{2}}$

Note:
Quantum mechanics gives us that energy is switched and captivated indefinite quantities, known as “quanta.” $$h$$ which defines the size of those quanta, which can be imagined as packets of energy that are exchanged by matter. The Value of$$h$$ in Meter-Kilogram-Second $$\left(MKS\right)$$units is$$$$$$h=4.135667662\times {10}^{-15}eV.s$$and the value of $$h$$ in the form of $$E_p.t_p$$is given by$$2pi$$.