Question #208736

A typical atomic nucleus is about 5.0 × 10−15𝑚 in radius. Use the

uncertainty principle to place a lower limit on the energy an electron must

have if it is to be part of a nucleus.[ans; 3.3 × 10−12𝐽]

II. A hydrogen atom is 5.3 × 10−11𝑚 in radius. Use the uncertainty principle


1
Expert's answer
2021-06-21T11:40:41-0400

p=h4πr=2.111020 kgms,p=\frac{h}{4\pi r}=2.11\cdot 10^{-20}~\frac{kg\cdot m}{s},

E=cp2+m2c23.31012 J.E=c\sqrt{p^2+m^2c^2}\approx 3.3\cdot 10^{-12}~J.


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