Among the given options which is the minimum work function so that light from the Balmer series will not be able to cause any photo-electric effect? 
1. \(13.6~\text{eV}\)
2. \(\dfrac{13.6} {2}~\text{eV}\)
3. \(13.6×\left(\dfrac{3}{4}\right)~\text{eV}\)
4. \(13.6×\left(\dfrac14-\dfrac19\right)~\text{eV}\)
Subtopic:  Spectral Series |
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Given below are two statements: 
Assertion (A): When light consisting of wavelengths corresponding to the Balmer series is incident on a gas containing \(\mathrm{He}^{+}\) ions in the first three excited states - it can be absorbed by the \(\mathrm{He}^{+}\) ions.
Reason (R): All the energy levels of the \(\mathrm{He}^{+}\) ions are the same as those of the \(\mathrm{H}\) atoms.
 
1. (A) is True but (R) is False.
2. (A) is False but (R) is True.
3. Both (A) and (R) are True and (R) is the correct explanation of (A).
4. Both (A) and (R) are True but (R) is not the correct explanation of (A).
Subtopic:  Spectral Series |
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In stimulated emission, an incoming photon interacts with an excited atom (e.g. \(\mathrm{H}^{*}\)) and brings the atom to its ground state, while an extra photon is emitted - as it happens in a laser. When a photon stimulates the emission of another photon, the two photons have:
1. the same phase.
2. the same energy.
3. the same direction.
4. the same phase, energy, and direction.
Subtopic:  Spectral Series |
 52%
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Whenever a photon is emitted by a hydrogen atom in the Paschen series, it is followed by further emissions of photons, in the Balmer series or the Lyman series.
These photons can have:
1. 2 possible energy values.
2. 3 possible energy values.
3. 4 possible energy values.
4. 5 possible energy values.
Subtopic:  Spectral Series |
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In a sample of hydrogen atoms, one atom goes through a transition \(n=3\rightarrow\) ground state with emitted wavelength \(\lambda_1\). Another atom goes through a transition \(n=2\rightarrow\) ground state with emitted wavelength \(\lambda_2\). The ratio of \(\dfrac{\lambda_1}{\lambda_2}=\)
1. \(\dfrac{6}{5}\) 2. \(\dfrac{5}{6}\)
3. \(\dfrac{27}{32}\) 4. \(\dfrac{32}{27}\)
Subtopic:  Spectral Series |
 81%
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Light having the wavelength equal to the first line of the Lyman series is incident on a metal having a work function of \(6\) eV. The energy of the fastest photo-electron emitted is:
1. \(7.6\) eV
2. \(4.2\) eV
3. \(2.1\) eV
4. \(0.8\) eV
Subtopic:  Spectral Series |
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The ground state energy of an electron in an \(\mathrm{H}\)-atom is \(-13.6~\text{eV}.\) If two photons, each of energy \(8~\text{eV},\) were incident on an \(\mathrm{H}\)-atom in the ground state, then the electron will:
1. be emitted with excess kinetic energy
2. be excited to a higher state, but not emitted
3. be excited to a higher state and then return to the ground state
4. remain in the ground state
Subtopic:  Spectral Series |
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Given below are two statements: 
Assertion (A): The energy of the photon causing the \(n=2\rightarrow4\) transition in the \(\mathrm{He}^+\text-\)ion is equal to the one causing the \(n=1\rightarrow2\) transition in the \(\mathrm{H}\text-\)atom.
Reason (R): The energy level corresponding to the \(n^{\text{th}}\) quantum number of the \(\mathrm{H}\text-\)atom has the same value as the \(2n^{\text{th}}\) level of the \(\mathrm{He}^{+}\text-\)ion.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Spectral Series |
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For very large \(n,\) the energy of the emitted photon, when an \(\mathrm{H}\)-atom makes a transition from energy state \(n\) to \((n-1),\) is nearly:
1.  \(\dfrac{13.6}{n^4}\) eV 2.  \(\dfrac{6.8}{n^3}\) eV
3.  \(\dfrac{27.2}{n^3}\) eV 4. \(\dfrac{54.4}{n^2}\) eV
Subtopic:  Spectral Series |
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Light corresponding to the \(1^{\text{st}}\) line of Balmer series of lines (in the atomic spectrum of hydrogen) is incident onto \(\mathrm{He}^{+}\) ions in a certain excited state corresponding to (principal) quantum number \(n.\) It causes transitions due to its absorption by the \(\mathrm{He}^{+}\) ions. The value of \(n\) equals:
1. \(1\)
2. \(2\)
3. \(4\)
4. \(6\)

 
Subtopic:  Spectral Series |
 71%
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