Home
Class 12
CHEMISTRY
Consider the following statements for an...

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 :

A

I, II, IV

B

I, III

C

II, III

D

I, II, III, IV

Text Solution

Verified by Experts

The correct Answer is:
D
(a) `K.E. prop v^(2)," "K.E. prop ((Z)/(n))^(2)`
(b) Frequency `prop(1)/(T)prop (v)/(2pir)prop ((Z)/(n))(Z)/(n^(2)), f prop ((Z^(2))/(n^(3)))`
(c) `F prop (q_(1)q_(2))/(r^(2)) prop ((z^(3))/(n^(4)))`
(d) momentum `prop v prop ((z)/(n))`
Promotional Banner

Similar Questions

Explore conceptually related problems

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 ?