From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is :
- $\frac{ch}{2\pi\epsilon^{2}_{0}}$
- $\frac{e^{2}}{2\pi\epsilon_{0}Gm_{e}^{2}}$ ($m_e$ = mass of electron)
- $\frac{\mu_{0}\,\epsilon_{0}}{c^{2}} \frac{G}{he^{2}}$
- $\frac{2\pi\sqrt{\mu_{0}\epsilon_{0}}}{ce^{2}} \frac{h}{G}$
The Correct Option is B
Solution and Explanation
same value is all systems.
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Concepts Used:
Physical World
The physical world includes the complications of the natural world around us. It is a type of analysis of the physical world around us to understand how it works. The fundamental forces that control nature are:
- Gravitational Force is a universal force that exists as an outcome of mutual attraction between any two objects with respect to their masses.
- Electromagnetic Force can be understood as the force that is present between the charged particles. The force is stated by Coulomb’s law.
- Strong Nuclear Force is the force that ties the protons and neutrons in a nucleus. Of all the elemental forces in nature, a strong nuclear force is the strongest as its name suggests.
- Weak Nuclear Force can only be noticed in some of the nuclear processes such as the beta decay of the nucleus.