is found experimentally that 13.6 eV energy is required to separate a hydrogen atom into a proton and an electron. Compute the orbital radius and the velocity of the electron in a hydrogen atom. Solution in Kannada
Total energy of the electron in hydrogen atom is 13.6eV=−13.6×1.6×10−19J=−2.2×10−18J.
Thus, −e28πε0r=2.2×10−18J
This gives the orbital radius
r=−e28πε0E=−(9×109Nm2/C2)(1.6×10−19×C)2(2)(−2.2×10−18J)
The velocity of the revolving electron can be computed with m=9.1×10−31kg.
v=e√4πε0mr=2.2×106m/s
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