Q. No.The angular speed \((\omega)\) of an electron in the \(n^{\text{th}}\) Bohr orbit varies as:
1. \(n\)
2. \(\Large\frac{1}{n}\)
3. \(\Large\frac{1}{n^2}\)
4. \(\Large\frac{1}{n^3}\)
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| 1. | \(n^2\) | 2. | \(n^3\) |
| 3. | \(n^4\) | 4. | \(n^6\) |
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| 1. | \(n=1\) | 2. | \(n=2\) |
| 3. | \(n=3\) | 4. | \(n=4\) |
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Of the three wavelengths, which one is the largest and which is the smallest?
1. \(\lambda_{21}-\text{largest},\lambda_{31}-\text{smallest}\)
2. \(\lambda_{32}-\text{largest},\lambda_{31}-\text{smallest}\)
3. \(\lambda_{31}-\text{largest},\lambda_{21}-\text{smallest}\)
4. \(\lambda_{32}-\text{largest},\lambda_{21}-\text{smallest}\)
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The ratio \(\lambda_{31}/\lambda_{21}\) equals:
| 1. | \(\Large\frac94\) | 2. | \(\Large\frac49\) |
| 3. | \(\Large\frac32\) | 4. | \(\Large\frac{27}{32}\) |
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Which of the following is true?
1. \(\lambda_{31}=\lambda_{32}+\lambda_{21}\)
2. \(\dfrac{1}{\lambda_{31}}=\dfrac{1}{\lambda_{32}}+\dfrac{1}{\lambda_{21}}\)
3. \(2\lambda_{32}=\lambda_{31}+\lambda_{21}\)
4. \(\lambda_{31}=2(\lambda_{32}+\lambda_{21})\)
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1. \(\mathrm{L_H>L_{He}>L_{Li}}\)
2. \(\mathrm{L_H<L_{He}<L_{Li}}\)
3. \(\mathrm{L_H=L_{He}=L_{Li}}\)
4. \(\mathrm{L_H}=\mathrm{\Large\frac{L_{He}}{2}}=\mathrm{L_{Li}}\)
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| 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 |
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| 1. | \(C_n=\Large\frac{\lambda_n}{n}\) | 2. | \(C_n=n\lambda_n\) |
| 3. | \(C_n= \Large\frac{\lambda_n}{n^2}\) | 4. | \(C_n=n^2\lambda_n\) |
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| 1. | \(n\) | 2. | \(n^{{2}}\) |
| 3. | \(n^{{-1}}\) | 4. | \(n^{1/2}\) |
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