Concept explainers
To Explain:A tremendous amount of energy is required when an electron cloud is reduced to almost the size of the nucleus, using Heisenberg uncertainty principle.
Explanation of Solution
Introduction:
As per Heisenberg’s uncertainty principle, the position and velocity of an entity cannot be determined exactly at the same time.
Electron cloud is a region around nucleus where electrons are found. If the electron cloud is reduced to a size of nucleus, the uncertainty of finding the electron reduces which increases the uncertainty in its velocity i.e. momentum. This means, a lot of energy would be needed to reduce the size of the electron cloud to the size of the nucleus.
Size of the nucleus is
As per Heisenberg’s uncertainty principle,
Here, h is the Planck’s constant.
Energy required:
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