It is formed experimentally that 13.6 ev energy is required to separated a hydrogen atom into proton and an electron compute the orbital radius and the velocity of the electron in hydrogen atom
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Hey dear,
● Answer-
R = 0.529×10^-10 m
v = 2.185×10^6 m/s
● Explaination-
Binding energy of hydrogen in 1st orbit is 13.6 eV
Therefore, n = 1
Orbital radius in nth orbit is-
R = n^2h^2 / 4π^2mZe^2
R = (1)^2h^2 / 4π^2m(1)e^2
R = 0.529×10^-10 m
Velocity of electron-
v = 2πze^2 / nh
v = 2π×(1)×e^2 / (1)h
v = 2.185×10^6 m/s
Hope this is helpful...
● Answer-
R = 0.529×10^-10 m
v = 2.185×10^6 m/s
● Explaination-
Binding energy of hydrogen in 1st orbit is 13.6 eV
Therefore, n = 1
Orbital radius in nth orbit is-
R = n^2h^2 / 4π^2mZe^2
R = (1)^2h^2 / 4π^2m(1)e^2
R = 0.529×10^-10 m
Velocity of electron-
v = 2πze^2 / nh
v = 2π×(1)×e^2 / (1)h
v = 2.185×10^6 m/s
Hope this is helpful...
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