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 |
 74%
From NCERT
NEET - 2015
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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 |
 88%
From NCERT
AIPMT - 2013
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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 |
 63%
From NCERT
AIPMT - 2012
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The energy of a hydrogen atom in the ground state is \(-13.6\) eV. The energy of a \(\mathrm{He}^{+}\) ion in the first excited state will be:
1. \(-13.6\) eV
2. \(-27.2\) eV
3. \(-54.4\) eV
4. \(-6.8\) eV

Subtopic:  Bohr's Model of Atom |
 74%
From NCERT
AIPMT - 2010
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In a Rutherford scattering experiment, when a projectile of charge \(Z_1\) and mass \(M_1\) approaches a target nucleus of charge \(Z_2\) and mass \(M_2\), the distance of the closest approach is \(r_0\). The energy of the projectile is:
1. directly proportional to \(M_1M_2\).
2. directly proportional to \(Z_1Z_2\).
3. inversely proportional to \(Z_1\).
4. directly proportional to mass \(M_1\).
Subtopic:  Various Atomic Models |
 82%
From NCERT
AIPMT - 2009
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The ionization energy of the electron in the hydrogen atom in its ground state is \(13.6~\text{eV}\). The atoms are excited to higher energy levels to emit radiations of \(6\) wavelengths. The maximum wavelength of emitted radiation corresponds to the transition between:
1. \(n= 3~\text{to}~n=2~\text{states}\)
2. \(n= 3~\text{to}~n=1~\text{states}\)
3. \(n= 2~\text{to}~n=1~\text{states}\)
4. \(n= 4~\text{to}~n=3~\text{states}\)
Subtopic:  Bohr's Model of Atom |
 62%
From NCERT
AIPMT - 2009
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The ground state energy of the hydrogen atom is -13.6 eV. When its electron is in the first excited state, its excitation energy is:

1. 3.4 eV

2. 6.8 eV

3. 10.2 eV

4. zero

Subtopic:  Bohr's Model of Atom |
 51%
From NCERT
AIPMT - 2008
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If the nucleus \({}_{13}^{27}\mathrm{Al}\) has a nuclear radius of about \(3.6\) fermis, then \({}_{52}^{125}\mathrm{Te}\) would have its radius approximately as:
1. \(6.0\) Fermi
2. \(9.6\) Fermi
3. \(12.0\) Fermi
4. \(4.8\) Fermi

Subtopic:  Various Atomic Models |
 72%
From NCERT
AIPMT - 2007
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The total energy of an electron in the ground state of a hydrogen atom is -13.6 eV. The kinetic energy of an electron in the first excited state is:
1. 3.4 eV

2. 6.8 eV

3. 13.6 eV

4. 1.7 eV

Subtopic:  Bohr's Model of Atom |
 71%
From NCERT
AIPMT - 2007
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