In Bohr's model if the atomic radius of the first orbit is \(r_0\), then what will be the radius of the third orbit?
1. \(\dfrac{r_0}{9}\) 2. \(r_0\)
3. \(9r_0\) 4. \(3r_0\)

Subtopic:  Bohr's Model of Atom |
 86%
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What is the ratio of the largest to shortest wavelengths in the Lyman series of hydrogen spectra?
1. \(\dfrac{25}{9}\) 2. \(\dfrac{17}{6}\)
3. \(\dfrac{9}{5}\) 4. \(\dfrac{4}{3}\)
Subtopic:  Spectral Series |
 82%
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What is the ratio of the longest to shortest wavelengths in Brackett series of hydrogen spectra?
1. \(\dfrac{25}{9}\) 2. \(\dfrac{17}{6}\)
3. \(\dfrac{9}{5}\) 4. \(\dfrac{4}{3}\)
Subtopic:  Spectral Series |
 79%
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In a hypothetical Bohr hydrogen, the mass of the electron is doubled. What will be the energy \(E_0\) and the radius \(r_0\) of the first orbit?
\((a_0\) is the Bohr radius) 
1. \(E_0=-27.2 ~\text{eV};~r_0={a}_0 / 2\)
2. \(E_0=-27.2 ~\text{eV}; ~r_0={a}_0\)
3. \(E_0=-13.6~\text{eV} ; ~r_0={a}_0 / 2\)
4. \(E_0=-13.6 ~\text{eV}; ~r_0={a}_0\)

Subtopic:  Bohr's Model of Atom |
 54%
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The electric potential between a proton and an electron is given by \(V = V_0\mathrm{Ln}\left(\frac{r}{r_0}\right)\) where \(r_0\) is a constant. Assuming Bohr’s model to be applicable, the variation of \(r_n\) with \(n\), \(n\) being the principal quantum number, is:
1. \(r_n \propto n\)
2. \(r_n \propto\frac{1}{n}\)
3. \(r_n\propto n^2\)
4. \(r_n \propto\frac{1}{n^2}\)

Subtopic:  Bohr's Model of Atom |
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When a hydrogen atom is raised from the ground state to an excited state:
1. its potential energy increases and kinetic energy decreases.
2. its potential energy decreases and kinetic energy increases.
3. both kinetic energy and potential energy increase.
4. both kinetic energy and potential energy decrease.
Subtopic:  Bohr's Model of Atom |
 69%
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A beam of fast-moving alpha particles were directed towards a thin film of gold. The parts \(A', B',\) and \(C'\) of the transmitted and reflected beams corresponding to the incident parts \(A,B\) and \(C\) of the beam, are shown in the adjoining diagram. The number of alpha particles in:

          

1. \(B'\) will be minimum and in \(C'\) maximum
2. \(A'\) will be maximum and in \(B'\) minimum
3. \(A'\) will be minimum and in \(B'\) maximum
4. \(C'\) will be minimum and in \(B'\) maximum
Subtopic:  Various Atomic Models |
 66%
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In the \(n^{th}\) orbit, the energy of an electron is \(E_{n}=-\frac{13.6}{n^2} ~\text{eV}\) for the hydrogen atom. What will be the energy required to take the electron from the first orbit to the second orbit?
1. \(10.2~\text{eV}\)
2. \(12.1~\text{eV}\)
3. \(13.6~\text{eV}\)
4. \(3.4~\text{eV}\)

Subtopic:  Bohr's Model of Atom |
 80%
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In a Rutherford scattering experiment when a projectile of charge Z1 and mass M1 approaches a target nucleus of charge Z2 and mass M2, the distance of closest approach is r0. What is the energy of the projectile?

1. Directly proportional to \(M_1 \times M_2\)
2. Directly proportional to \(Z_1Z_2\)
3. Inversely proportional to \(Z_1\)
4. Directly proportional to mass \(M_1\)

Subtopic:  Various Atomic Models |
 83%
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NEET - 2009
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The energy of a hydrogen atom in the ground state is \(-13.6~\text{eV}\). What is the energy of a \(\mathrm{He}^+\) ion in the first excited state?
1. \(-13.6~\text{eV}\)
2. \(-27.2~\text{eV}\)
3. \(-54.4~\text{eV}\)
4. \(-6.8~\text{eV}\)

Subtopic:  Bohr's Model of Atom |
 72%
From NCERT
NEET - 2010
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