The time of revolution of an electron around a nucleus of charge Ze in nth Bohr orbit is directly proportional to
(1) n
(2)
(3)
(4)
In Bohr’s model, if the atomic radius of the first orbit is , then the radius of the fourth orbit is
(1)
(2) 4
(3)/16
(4) 16
If R is the Rydberg’s constant for hydrogen the wave number of the first line in the Lyman series will be
(1)
(2)
(3)
(4) 2R
In hydrogen atom, if the difference in the energy of the electron in n =2 and n = 3 orbits is E, the ionization energy of hydrogen atom is
(1) 13.2 E
(2) 7.2 E
(3) 5.6 E
(4) 3.2 E
The first member of the Paschen series in hydrogen spectrum is of wavelength 18,800 Å. The short wavelengths limit of Paschen series is
(1) 1215 Å
(2) 6560 Å
(3) 8225 Å
(4) 12850 Å
1. | \(\dfrac{25}{9}\) | 2. | \(\dfrac{17}{6}\) |
3. | \(\dfrac{9}{5}\) | 4. | \(\dfrac{4}{3}\) |
In Bohr model of hydrogen atom, the ratio of periods of revolution of an electron in n =2 and n = 1 orbits is
(1) 2 : 1
(2) 4 : 1
(3) 8 : 1
(4) 16 : 1
1. | \(\dfrac{25}{9}\) | 2. | \(\dfrac{17}{6}\) |
3. | \(\dfrac{9}{5}\) | 4. | \(\dfrac{4}{3}\) |
The electron in a hydrogen atom makes a transition from an excited state to the ground state. Which of the following statements is true
1. | Its kinetic energy increases and its potential and total energies decrease |
2. | Its kinetic energy decreases, potential energy increases and its total energy remains the same |
3. | Its kinetic and total energies decrease and its potential energy increases |
4. | Its kinetic, potential and total energies decreases |
The ratio of minimum to maximum wavelength in Balmer series is
(1) 5 : 9
(2) 5 : 36
(3) 1 : 4
(4) 3 : 4