Two H atoms in the ground state collide inelastically. The maximum amount by which their combined kinetic energy is reduced -

1. 10.20 eV 

2. 20.40 eV

3. 13.6 eV

4. 27.2 eV

The wavenumber of the energy emitted when an electron comes from the fourth orbit to the second orbit in hydrogen is 20, 397 $c{m}^{-1}$. The wavenumber of the energy for the same transition in $H{e}^{+}$ is-

1. 5,099 $c{m}^{-1}$

2. 20,497$c{m}^{-1}$

3. 14400 $\stackrel{0}{A}$

4. 81,588 $c{m}^{-1}$

In the Bohr model of the hydrogen atom, let R, V and E represent the radius of the orbit, the speed of electron  and the total energy of the electron respectively. Which of the following quantities is proportional to quantum number n?

1. $\frac{R}{E}$

2. $\frac{E}{V}$

3.  RE

4. VR

The ratio of the energies of the hydrogen atom in its first to second excited states is:

1. 9/4

2. 4/1

3. 8/1

4. 1/8

If the shortest wavelength in the Lyman series is 911.6 $\text{Å}$, the longest wavelength in the same series will be:

1.  1600 $\text{Å}$

2.  2430 $\text{Å}$

3.  1215 $\text{Å}$

4.  $\infty$

Hydrogen atoms are excited from the ground state to the principal quantum number 4. Then, the number of spectral lines observed will be:

1.  3

2.  6

3.  5

4.  2

When a hydrogen atom is bombarded, the atom is excited to n = 4 state. The energy released, when the atom goes from n = 4 state to the ground state is: 

1. 1.75 eV

2. 12.75 eV

3. 5 eV

4. 8 eV

The ionization energy of the hydrogen atom is 13.6 eV. Following Bohr's theory, the energy corresponding to a transition between 3rd and 4th orbit is:

1. 3.40eV

2. 1.51 eV

3. 0.85 eV

4. 0.66 eV

If $E_p$ and $E_k$ are the potential energy and kinetic energy of the electron in a stationary orbit in the hydrogen atom, the value of $\frac{E_p}{E_k}$ is-

1. 2

2. -1

3. 1

4. -2

Consider the spectral line resulting from the transition $n=2\to n=1$ in the atoms and ions given below. The shortest wavelength is produced by:

1. hydrogen atom

2. deuterium atom

3. singly ionized helium

4. doubly ionized lithium