Q. No.The energy of an electron is given by E = – 2.178 × Wavelength of light required to excite an electron in an hydrogen atom from level n = 1 to n = 2 will be:
(h = 6.62 × 10–34 Js and c = 3.0 × 108 ms–1)
1. 6.500 × 10–7 m
2. 8.500 × 10–7 m
3. 1.214 × 10–7 m
4. 2.816 × 10–7 m
Subtopic: Hydrogen Spectra |
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The correct relation between the radius of 3rd and 4th Bohr orbit for H-atom is:
1. \(\frac{r_3}{r_4}=\frac{16}{9} \)
2. \(\frac{r_3}{r_4}=\frac{9}{16} \)
3. \(\frac{r_3}{r_4}=\frac{9}{4} \)
4. \(\frac{r_3}{r_4}=\frac{3}{16} \)
1. \(\frac{r_3}{r_4}=\frac{16}{9} \)
2. \(\frac{r_3}{r_4}=\frac{9}{16} \)
3. \(\frac{r_3}{r_4}=\frac{9}{4} \)
4. \(\frac{r_3}{r_4}=\frac{3}{16} \)
Subtopic: Hydrogen Spectra |
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Given below are two statements:
In the light of the above statements, choose the correct answer from the option given below:
1. Both Statement I and Statement II are true.
2. Both Statement I and Statement II are false.
3. Statement I is true but Statement II is false.
4. Statement I is false but Statement II is true.
| Statement I: |  h\(\)v = (E2-E1) absorbs a photon. |
| Statement II: |  hv = (E2-E1) = emitted a photon. |
1. Both Statement I and Statement II are true.
2. Both Statement I and Statement II are false.
3. Statement I is true but Statement II is false.
4. Statement I is false but Statement II is true.
Subtopic: Bohr's Theory | Hydrogen Spectra |
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With a ground state energy of –13.6 eV for a hydrogen atom, what would be the energy in the second excited state?
1. –6.8 eV
2. –3.4 eV
3. –1.51 eV
4. –4.53 eV
Subtopic: Hydrogen Spectra |
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The shortest wavelength in the Lyman series of H-atom is λ. and the longest wavelength in the Balmer series of He+ is \(\frac{x\lambda}5\).
The value of x is:
1. 7
2. 11
3. 13
4. 9
The value of x is:
1. 7
2. 11
3. 13
4. 9
Subtopic: Hydrogen Spectra |
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The radius of the second orbit of the \(\text{Li}^{2+}\) ion is x. What will be the radius of the third orbit of the \(\text{Be}^{3+}\) ion?
| 1. | \(\dfrac{27 x}{16}\) | 2. | \(\dfrac{16 x}{27}\) |
| 3. | \(\dfrac{4 x}{3}\) | 4. | \(\dfrac{3 x}{4}\) |
Subtopic: Hydrogen Spectra |
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A hydrogen atom in its ground state absorbs 12.75 eV of energy. The orbital angular momentum of the electron becomes \(\frac{nh}{2\pi}\). What is the value of n?
1. 3
2. 4
3. 5
4. 2
1. 3
2. 4
3. 5
4. 2
Subtopic: Hydrogen Spectra |
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An electron in \(Be^{3+} \) goes from n=4 to n=2 . The amount of energy released in eV is:
(Ground state energy of H- atom = 13.6 eV)
1. 40.8 eV
2. 122.4 eV
3. 217. 6 eV
4. 21.17 eV
(Ground state energy of H- atom = 13.6 eV)
1. 40.8 eV
2. 122.4 eV
3. 217. 6 eV
4. 21.17 eV
Subtopic: Hydrogen Spectra |
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The ionization energy of a hydrogen atom is 13.6 eV. What is the ionization energy of a Li²⁺ ion?
| 1. | 54.4 eV | 2. | 122.4 eV |
| 3. | 13.6 eV | 4. | 3.4 eV |
Subtopic: Hydrogen Spectra |
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The shortest wavelength of the Paschen series for H-atom is:
| 1. | \(\dfrac{9}{R}\) | 2. | \(\dfrac{16}{R}\) |
| 3. | \(\dfrac{144}{7 R}\) | 4. | \(\dfrac{7 R}{144}\) |
Subtopic: Hydrogen Spectra |
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