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Select the incorrect graph for velocity ...

Select the incorrect graph for velocity of `e^(-)` in an orbit vs. Z, `1/n` and n :

A

B

C

D

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The correct Answer is:
D
`v prop (z)/(n)`
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If an electron is moving in the n^(th) orbit of the hydrogen atom, then its velocity (v_(n)) for the n^(th) orbit is given as :

If the velocity of the revolving electron of He^(+) in the first orbit (n= 1) is v. the velocity of the electron in the second orbit is:

Bohr's model enables us to derive the energy of an electron revolving in nth orbit. For H-atom and hydrogen like species : E_n = (2 pi^2 m e^4 Z^2)/(n^2 h^2) or = - (13.6 Z^2)/(n^2) eV "atom"^(-1) = (21.8 xx 10^(-19) Z^2)/(n^2) J "atom"^(-1) This helps to calculate the radius of an orbit, r_n = (0.529 n^2)/(Z) Å Bohr's model also explains the occurrence of different spectral lines. The wavelengths of difference line can be given as : 1/lambda = barv ("in" cm^(-1)) = R (1/(n_1^2) - 1/(n_2^2)) R = 109678 cm^(-1) and n_2 > n_1 . What is the ratio of radius of 4th orbit of hydrogen and 3rd orbit of Li^(2+) ion ?

An electron in a hydrogen atom is considered to be revolving around a proton with a velocity (e^2)/(n) in a circular orbit of radius (n^2)/(me^2) . If I is the equivalent current, express it in terms of m, e, n.

Bohr's model enables us to derive the energy of an electron revolving in nth orbit. For H-atom and hydrogen like species : E_n = (2 pi^2 m e^4 Z^2)/(n^2 h^2) or = - (13.6 Z^2)/(n^2) eV "atom"^(-1) = (21.8 xx 10^(-19) Z^2)/(n^2) J "atom"^(-1) This helps to calculate the radius of an orbit, r_n = (0.529 n^2)/(Z) Å Bohr's model also explains the occurrence of different spectral lines. The wavelengths of difference line can be given as : 1/lambda = barv ("in" cm^(-1)) = R (1/(n_1^2) - 1/(n_2^2)) R = 109678 cm^(-1) and n_2 > n_1 . Which transition between Bohr's orbits corresponds to third line in Lyman series?

Which of the following option(s) is/are independent of both n and Z for H- like species? U_(n) = Potential energy of electron in n^(th) orbit KE_(n) = Kinetic energy of electron in n^(th) orbit l_(n) = Angular momentam of electoron in n^(th) orbit v_(n) = Velcity of electron in n^(th) orbit f_(n) = Frequency of electron in n^(th) orbit T_(n) = Time period of revolution of electron in n^(th) orbit

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