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

If the electron in a hydrogen atom were in the energy level with $n=3,$ how much energy in joule would be required to ionize the atom? (Ionization energy of H-atom is 2.18$\times {10}^{-18}J$):

1. 6.54$\times {10}^{-19}$

2. $1.43\times {10}^{-19}$

3. $2.42\times {10}^{-19}$

4. $3.14\times {10}^{-20}$

In a hydrogen atom, the electron is in \(n^\text{th}\) excited state. Knowing that on its way down to the second excited state, the number of different wavelengths that the electron can possibly emit is \(10  .\) What is the value of \(n? \)

1. \(6\)
2. \(7\)
3. \(8\)
4. \(5\)

Consider the following electronic energy level diagram of H-atom: Photons associated with the shortest and longest wavelengths would be emitted from the atom by the transitions labeled-

1. B and C respectively

2. C and A respectively

3.  C and D respectively

4. A and C respectively