The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is:
1. \(\dfrac{3}{23}\) 2. \(\dfrac{7}{29}\)
3. \(\dfrac{9}{31}\) 4. \(\dfrac{5}{27}\)
Subtopic:  Spectral Series |
 89%
Level 1: 80%+
AIPMT - 2013
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A hydrogen atom is excited from the ground state to the state of the principal quantum number \(4.\) Then the number of spectral lines observed will be:
1. \(3\)
2. \(6\)
3. \(5\)
4. \(2\)

Subtopic:  Spectral Series |
 87%
Level 1: 80%+
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When an electron transitions from \(n=4\) to \(n=2,\) then the emitted line in the spectrum will be:
1. the first line of the Lyman series.
2. the second line of the Balmer series.
3. the first line of the Paschen series.
4. the second line of the Paschen series.

Subtopic:  Spectral Series |
 87%
Level 1: 80%+
AIPMT - 2000
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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. \(0.025 \times 10^{4} ~\text{m}^{-1}\)

Subtopic:  Spectral Series |
 87%
Level 1: 80%+
NEET - 2016
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In an atom, if the transition from \(n = 4\) to \(n=3\) gives ultraviolet radiation, then to obtain infrared radiation, the transition should be:
1. \(5\rightarrow 4\) 2. \(3\rightarrow 2\)
3. \(2\rightarrow 1\) 4. \(3\rightarrow 1\)
Subtopic:  Spectral Series |
 79%
Level 2: 60%+
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If the wavelength of the first line in the Balmer Series of the hydrogen spectrum is \(\lambda,\) 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. \(\frac{27}{25}\lambda\)

Subtopic:  Spectral Series |
 77%
Level 2: 60%+
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The wavelength of the first line of the Lyman series for a hydrogen atom is equal to that of the second line of the Balmer series for a hydrogen-like ion. What is the atomic number \(Z\) of hydrogen-like ions?
1. \(4\)
2. \(1\)
3. \(2\)
4. \(3\)

Subtopic:  Spectral Series |
 75%
Level 2: 60%+
AIPMT - 2011
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In the diagram shown below, two atomic transitions are shown. If \(\lambda_1= 3000~\mathring{A}\) and \(\lambda_2= 6000~\mathring{A},\) then the value of \(\lambda\) will be:

          
1. \(2000~\mathring{A}\)
2. \(4000~\mathring{A}\)
3. \(4500~\mathring{A}\)
4. \(9000~\mathring{A}\)

Subtopic:  Spectral Series |
 74%
Level 2: 60%+
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The ionisation potential of the hydrogen atom is \(13.6~\text{eV}.\) The hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy of \(12.1~\text{eV}.\) According to Bohr’s theory, the spectral lines emitted by hydrogen atoms will be:
1. two
2. three
3. four
4. one

Subtopic:  Spectral Series |
 71%
Level 2: 60%+
AIPMT - 2006
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The frequency of the series limit of the Balmer series of hydrogen atoms in terms of the Rydberg constant \(R\) and velocity of light \(C\) is:
1. \(\frac{RC}{4}\)
2. \(RC\)
3. \(\frac{4}{RC}\)
4. \(4RC\)

Subtopic:  Spectral Series |
 72%
Level 2: 60%+
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