Question #314243

A hydrogen atom is 5.3 × 10−10 m in radius. Use the uncertainty principle to estimate the minimum energy an electron can have in this atom. 


1
Expert's answer
2022-03-22T15:48:52-0400

Answer

According to uncertainty

P=r=2.111020kgm/sP=\frac{\hbar}{r}\\=2.11*10^{-20}kg-m/s

So minimum energy

E=p2c2+m2c4E=\sqrt{p^2c^2+m^2c^4}

Putting all values

E=3.31012J3.3*10^{-12}J




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