Consider the following statements for an electron moving in nth orbit of hydrogen like species of atomic number Z?
I. Kinetic energy `prop (Z^(2))/(n^(2))`
II. Frequency of revolution `prop (Z^(2))/(n^(3))`
III. Coulombic force of attraction `prop (Z^(3))/(n^(4))`
IV. Momentum `prop (Z)/(n)`
The correct choice is :

According to Bohr's atomic energy :- (A) Kinetic energy of electron is prop (Z^(2))/(n^(2)) . (B) The product of velocity (v) of electron and principal quantum number(n), 'vn' prop Z^(2) . (C) Frequency of revolution of electron in an orbit is prop (Z^(3))/(n^(3)) . (D) Coulombic force of attraction on the electron is prop (Z^(3))/(n^(4)) . Choose the most appropriate answer from the option given below:

Radius (r_(n)) of electron in nth orbit versus atomic number (Z) graph is

Time period of revolution of an electron in n^(th) orbit in a hydrogen like atom is given by T = (T_(0)n_(a))/ (Z^(b)) , Z = atomic number

Which of the following is correct regarding Bohr's theory for hydrogen like atoms in n^(th) orbit Time period : T_(n)=(2pir_(n))/(v_(n)) K_(n)=-E_(n) : U_(n)=2E_(n) r_(n) prop (n^(2))/(Z) , v_(n) prop (Z)/(n) , T_(n) prop (n^(3))/(Z^(2)) , E_(n) prop (Z^(2))/(n^(2)) Angular momentum is independent of Z

The energy of an electron moving in n^(th) Bohr's orbit of an element is given by E_(n)=(-13.6)/n^(2)Z^(2) eV/ atom (Z=atomic number). The graph of E vs. Z^(2) (keeping "n" constant) will be :

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 ?

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 experimental evidence in support of the fact that electronic energies in an atom are quantized ?