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 \[h\; = {\text{ }}6.6260715 \times {10^{ - 34\;}}J.s\]. 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 ${E_n} = \dfrac{{ - h{C_0}{R_\infty }}}{{{n^2}}}$ and in the matter-wave equation we get the de Broglie wavelength as \[\lambda = \dfrac{h}{p}\] and in the uncertainty principle we get $\Delta x.\Delta p \geqslant \dfrac{{\dfrac{h}{{2x}}}}{2}$

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\[\]\[h\; = {\text{ }}4.135667662 \times {10^{ - 15}}\;eV.s\]and the value of \[h\] in the form of \[{E_p}.{t_p}\]is given by\[2{\text{ }}pi\].