Q. No.| 1. | \(1.5 \times 10^{-23}~\text{kg-m/s}\) |
| 2. | \(6.6 \times 10^{-24}~\text{kg-m/s}\) |
| 3. | \(6.6 \times 10^{-44}~\text{kg-m/s}\) |
| 4. | \(2.2 \times 10^{-52}~\text{kg-m/s}\) |
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Which of the following figures represents the variation of the particle momentum and the associated de-Broglie wavelength?
| 1. |  |
2. |  |
| 3. |  |
4. |
 |
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| 1. | \(\frac{h}{\sqrt{m k T}}\) | 2. | \(\frac{h}{\sqrt{3 m k T}}\) |
| 3. | \(\frac{2 h}{\sqrt{3 m k T}}\) | 4. | \(\frac{2 h}{\sqrt{m k T}}\) |
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| 1. | \(\frac{h^{2} m}{2 \lambda^{2}}\) | 2. | \(\frac{2 h m^{2}}{\lambda^{2}}\) |
| 3. | \(\frac{h^{2} \lambda^{2}}{2 m}\) | 4. | \(\frac{h^{2}}{2 m \lambda^{2}}\) |
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1. \(0.25~\mathring{A}\)
2. \(0.5~\mathring{A}\)
3. \(1.5~\mathring{A}\)
4. \(2~\mathring{A}\)
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| 1. | Equal to \(c\), the speed of light in vacuum. |
| 2. | Greater than \(c\). |
| 3. | Less than \(c\). |
| 4. | Tending to infinity. |
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1. \(0.31~\mathring{A}\)
2. \(0.41~\mathring{A}\)
3. \(0.5~\mathring{A}\)
4. \(0.16~\mathring{A}\)
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| 1. | decrease by \(2\) times |
| 2. | decrease by \(4\) times |
| 3. | increase by \(4\) times |
| 4. | increase by \(2\) times |
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| 1. | \(\frac{1}{8}\) | 2. | \(\frac{3}{8}\) |
| 3. | \(\frac{5}{8}\) | 4. | \(\frac{7}{8}\) |
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What will be the percentage change in the de-Broglie wavelength of the particle if the kinetic energy of the particle is increased to \(16\) times its previous value?
1. \(25\)
2. \(75\)
3. \(60\)
4. \(50\)
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