Question

The matter-wave picture of electromagnetic wave/radiation elegantly incorporated the:
A) Heisenberg’s uncertainty principle
B) Correspondence principle
C) Cosmic theory
D) Hertz’s observations

Answer 1

First let us see what matter wave is:

Matter waves are a focal aspect of the hypothesis of quantum mechanics, being a case of wave–particle duality. All issues display wave-like conduct. For instance, a light emission can be diffracted simply like a light emission or a water wave. As a rule, be that as it may, the frequency is too little to even consider having a handy effect on everyday exercises. Consequently in our everyday lives matter waves are not important.

Complete step by step solution:
First let us see option A.

Heisenberg’s uncertainty principle: The Heisenberg uncertainty rule is a law in quantum mechanics that limits how precisely you can quantify two related factors. In particular, it says that the more precisely you measure the force (or speed) of a molecule, the less precisely you can know its position, and the other way around.

The uncertainty principle emerges from the wave-particle duality. Each molecule has a wave related with it; every molecule really displays wavelike conduct.

Correspondence principle: The correspondence rule expresses that the conduct of systems portrayed by the hypothesis of quantum mechanics duplicates classical physical science in the limit of enormous quantum numbers.

Cosmic theory: Cosmology is a branch of astronomy that involves the origin and evolution of the universe, from the Big Bang to today and on into the future.

Hertz’s observations:
In $1887$, Heinrich Hertz found that certain electrons near the surface, as light falls on a metal surface,
absorb enough energy from the incident radiation to counteract the attraction of the positive ions in the surface material.

So, from the above we can see that only Heisenberg’s uncertainty principle is incorporated by a matter-wave picture of electromagnetic wave/radiation.

So, option A is correct.

Note: Here we may be confused between options A and D but hertz’s observations does not elegantly explain the matter-wave as by the Heisenberg’s uncertainty principle as every molecule has wave properties.