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Q. No.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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Level 1: 80%+
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Calculate the velocity of the electron in the first orbit of H-atom.
(me= \(9.1\times10^{-31}\text{kg}\))
1. \(2.18 \times 10^5 \mathrm{~m} / \mathrm{s}\)
2. \(2.18 \times 10^6 \mathrm{~m} / \mathrm{s}\)
3. \(2.18 \times 10^7 \mathrm{~m} / \mathrm{s}\)
4. \(2.18 \times 10^4 \mathrm{~m} / \mathrm{s}\)
(me= \(9.1\times10^{-31}\text{kg}\))
1. \(2.18 \times 10^5 \mathrm{~m} / \mathrm{s}\)
2. \(2.18 \times 10^6 \mathrm{~m} / \mathrm{s}\)
3. \(2.18 \times 10^7 \mathrm{~m} / \mathrm{s}\)
4. \(2.18 \times 10^4 \mathrm{~m} / \mathrm{s}\)
Subtopic: Hydrogen Spectra |
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Level 1: 80%+
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Subtopic: Hydrogen Spectra |
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Match the following:
1. A → (iv), B → (iii) C → (i), D → (ii)
2. A → (i), B → (iii) C → (ii), D → (iv)
3. A → (iv), B → (ii) C → (iii), D → (iv)
4. A → (i), B → (ii) C → (iii), D → (iv)
| (A) | Lyman | (i) | IR |
| (B) | Balmer | (ii) | IR |
| (C) | Paschen | (iii) | Visible |
| (D) | Pfund | (iv) | UV |
1. A → (iv), B → (iii) C → (i), D → (ii)
2. A → (i), B → (iii) C → (ii), D → (iv)
3. A → (iv), B → (ii) C → (iii), D → (iv)
4. A → (i), B → (ii) C → (iii), D → (iv)
Subtopic: Hydrogen Spectra |
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The wave number of the first emission line of the Balmer series in the hydrogen spectrum is:
(Where R is the Rydberg constant)
| 1. | \(\frac{5}{36} R\) | 2. | \(\frac{9}{400} R\) |
| 3. | \(\frac{7}{6} R\) | 4. | \(\frac{3}{4} R\) |
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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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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In which shell of hydrogen atom, velocity of electron is the highest?
| 1. | 1st shell | 2. | 2nd shell |
| 3. | 3rd shell | 4. | 4th shell |
Subtopic: Bohr's Theory | Hydrogen Spectra |
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