In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is:
1. \(\frac{4}{9}\)
2. \(\frac{9}{4}\)
3. \(\frac{27}{5}\)
4. \(\frac{5}{27}\)

Subtopic:  Spectral Series |
 69%
From NCERT
NEET - 2015
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Consider \(3^{\text{rd}}\) orbit of \(He^{+}\) (Helium). Using a non-relativistic approach, the speed of the electron in this orbit will be: (given \(Z=2\) and \(h\) (Planck's constant)\(= 6.6\times10^{-34}~\text{J-s}\))
1. \(2.92\times 10^{6}~\text{m/s}\)
2. \(1.46\times 10^{6}~\text{m/s}\)
3. \(0.73\times 10^{6}~\text{m/s}\)
4. \(3.0\times 10^{8}~\text{m/s}\)

Subtopic:  Bohr's Model of Atom |
 72%
From NCERT
NEET - 2015
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The hydrogen gas with its atoms in the ground state is excited by monochromatic radiation of \(\lambda = 975~\mathring{\text{A}}\). The number of spectral lines in the resulting spectrum emitted will be:
1. \(3\)
2. \(2\)
3. \(6\)
4. \(10\)

Subtopic:  Spectral Series |
 56%
From NCERT
AIPMT - 2014
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The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is:
1. \(\frac{3}{23}\)
2. \(\frac{7}{29}\)
3. \(\frac{9}{31}\)
4. \(\frac{5}{27}\)

Subtopic:  Spectral Series |
 87%
From NCERT
AIPMT - 2013
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An electron in hydrogen atom makes a transition \(n_1 \rightarrow n_2\) where \(n_1\) and \(n_2\) are principal quantum numbers of the two states. Assuming Bohr's model to be valid, the time period of the electron in the initial state is eight times that in the final state. The possible values of \(n_1\) and  \(n_2\) are:
1. \( n_1 = 6~\text{and}~n_2 = 2\)
2. \( n_1 = 8~\text{and}~ n_2 = 1\)
3. \( n_1 = 8~\text{and}~ n_2 = 2\)
4. \(n_1 = 4~\text{and}~n_2 = 2\)
Subtopic:  Bohr's Model of Atom |
 65%
From NCERT
NEET - 2013
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Electron in hydrogen atom first jumps from the third excited state to the second excited state and then from the second excited to the first excited state. The ratio of the wavelengths \(\lambda_1:\lambda_2\) emitted in the two cases is:
1. \(\frac{7}{5}\)
2. \(\frac{20}{7}\)
3. \(\frac{27}{5}\)
4. \(\frac{27}{20}\)

Subtopic:  Spectral Series |
 63%
From NCERT
AIPMT - 2012
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An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be:
(\(m\) is the mass of hydrogen atom, \(R\) is Rydberg constant and \(h\) is Plank’s constant)
1. \(\frac{24m}{25hR}\)
2. \(\frac{25hR}{24m}\)
3. \(\frac{25m}{24hR}\)
4. \(\frac{24hR}{25m}\)

Subtopic:  Bohr's Model of Atom |
 60%
From NCERT
AIPMT - 2012
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Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be \(3.57~\text{V}\). The threshold frequency of the material is:
1. \(4\times10^{15}~\text{Hz}\)
2. \(5\times10^{15}~\text{Hz}\)
3. \(1.6\times10^{15}~\text{Hz}\)
4. \(2.5\times10^{15}~\text{Hz}\)

Subtopic:  Bohr's Model of Atom |
 62%
From NCERT
AIPMT - 2012
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The transition from the state \(n=3\) to \(n=1\) in hydrogen-like atoms results in ultraviolet radiation. Infrared radiation will be obtained in the transition from:
1. \(3\rightarrow 2\)
2. \(4\rightarrow 2\)
3. \(4\rightarrow 3\)
4. \(2\rightarrow 1\)

Subtopic:  Spectral Series |
 77%
From NCERT
AIPMT - 2012
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The wavelength of the first line of Lyman series for the hydrogen atom is equal to that of the second line of Balmer series for a hydrogen-like ion. The atomic number Z of hydrogen-like ion is:
1.  \(4\)
2.  \(1\)
3.  \(2\)
4.  \(3\)
Subtopic:  Spectral Series |
 66%
From NCERT
AIPMT - 2011
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