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. | \(2.2 \times 10^{-52}~\text{kg-m/s}\) |
Which of the following figures represents the variation of the particle momentum and the associated de-Broglie wavelength?
1. | 2. | ||
3. | 4. |
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. | \(\frac{2 h}{\sqrt{m k T}}\) |
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. | \(\frac{h^{2}}{2 m \lambda^{2}}\) |
1. | decrease by \(2\) times |
2. | decrease by \(4\) times |
3. | increase by \(4\) times |
4. | increase by \(2\) times |
1. | Equal to \(c\), the speed of light in vacuum. |
2. | Greater than \(c\). |
3. | Less than \(c\). |
4. | Tending to infinity. |
1. | \(\frac{1}{8}\) | 2. | \(\frac{3}{8}\) |
3. | \(\frac{5}{8}\) | 4. | \(\frac{7}{8}\) |
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. \(50\)