The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is:

A hydrogen atom is excited from the ground state to the state of principal quantum number 4. Then the number of spectral lines observed will be:

1. 3                   

2. 6

3. 5                   

4. 2

When an electron transitions from n = 4 to n = 2, then the emitted line in the spectrum will be:

Given that the value of the Rydberg constant is \(10^{7}~\text{m}^{-1}\), what will be the wave number of the last line of the Balmer series in the hydrogen spectrum?
1. \(0.5 \times 10^{7}~\text{m}^{-1}\)
2. \(0.25 \times 10^{7} ~\text{m}^{-1}\)
3. \(2.5 \times 10^{7}~\text{m}^{-1}\)
4. \(0.025 \times 10^{4} ~\text{m}^{-1}\)

What is the ratio of the largest to shortest wavelengths in the Lyman series of hydrogen spectra?

1. $\frac{25}{9}$        

2. $\frac{17}{6}$
3. $\frac{9}{5}$           

4. $\frac{4}{3}$

In an atom, if the transition from n = 4 to n = 3 gives ultraviolet radiation, then to obtain infrared radiation, the transition should be:

What is the ratio of the longest to shortest wavelengths in Brackett series of hydrogen spectra?
1. $\frac{25}{9}$           

2. $\frac{17}{6}$

3. $\frac{9}{5}$             

4. $\frac{4}{3}$

If the wavelength of the first line in the Balmer Series of the hydrogen spectrum is λ, then what is the wavelength of the second line in this series?

1.  $\frac{20}{27}\lambda$

2.  $\frac{27}{20}\lambda$

3.  $\frac{25}{27}\lambda$

4.  $\frac{27}{25}\lambda$

What is the ratio of wavelengths of the last line of the Balmer series and the last line of the Lyman series?

1. 1

2. 4

3. 0.5

4. 2

E₁, E₂ and E₃ are energies of an electron in three consecutive energy levels of a hydrogen-like atom, such that E₁<E₂<E₃. The wavelength emitted in the transition from E₃ to E₂ is λ₂ and the wavelength emitted in the transition from E₂ to E₁ is λ₁. The wavelength emitted in transition from E₃ to E₁ is:

1.  $\frac{{\lambda }_1{\lambda }_2}{{\lambda }_1-{\lambda }_2}$

2.  $\frac{{\lambda }_1+{\lambda }_2}{2}$

3.  $\sqrt{{\lambda }_1^2+{\lambda }_2^2}$

4. $\frac{{\lambda }_1{\lambda }_2}{{\lambda }_1+{\lambda }_2}$