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 |
 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 |
 73%
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 |
 70%
From NCERT
AIPMT - 2007
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The ionization potential of the hydrogen atom is 13.6 V. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr’s theory, the spectral lines emitted by hydrogen will be:

1. two

2. three

3. four

4. one

Subtopic:  Bohr's Model of Atom |
 65%
From NCERT
AIPMT - 2006
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