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. \(0.025 \times 10^{4} ~\text{m}^{-1}\)

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

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.  $\frac{27}{25}\lambda$

The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. What is the atomic number Z of hydrogen like ion?

1. 4

2. 1

3. 2

4. 3

In the diagram shown below, two atomic transitions are shown. If ${\mathrm{\lambda }}_1$ $=$ $3000$ $\stackrel{\mathrm{o}}{\mathrm{A}}$ $\mathrm{and}$ ${\mathrm{\lambda }}_2$ $=$ $6000$ $\stackrel{\mathrm{o}}{\mathrm{A}},$ then the value of λ will be:

 
1.  2000 $\stackrel{\mathrm{o}}{\mathrm{A}}$

2.  4000 $\stackrel{\mathrm{o}}{\mathrm{A}}$

3.  4500 $\stackrel{\mathrm{o}}{\mathrm{A}}$

4.  9000 $\stackrel{\mathrm{o}}{\mathrm{A}}$

The ionisation potential of the hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy of 12.1 eV. According to Bohr’s theory, the spectral lines emitted by hydrogen atoms will be:

1. two

2. three

3. four

4. one

The frequency of the series limit of the Balmer series of hydrogen atoms in terms of Rydberg constant R and velocity of light C is:

1. $\frac{RC}{4}$

2. RC

3. $\frac{4}{RC}$

4. 4RC