why electron can't exist in nucleus
Answers
The de-Broglie wavelength of electron decay is several times greater than the size of nucleus. As a result an electron cannot be confined inside the nucleus.
Answer:
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Explanation:
This can be understood by using Heisenberg’s Uncertainty Principle. The mathematical expression for this principle is x . (m x v) = h / 4 π where x and v are the uncertainties in the measurement of Displacement and velocity, h is Plank’s constant 6.63 x 10 (raised to the power -34). To understand this fact, let us take x to be 10 (raised to the power -15) i.e. the order of size of the atomic nucleus and calculate the uncertainty in its velocity. Substituting the known values in the equation of the principle, the value of v comes out to be about 5.7 x 10 (raised to the power 10) m/s which is much larger than the velocity of light. Hence, the electrons do not reside in the nucleus.