Light with a wavelength of \(500\) nm is incident on a metal with a work function of \(2.28\) eV. The de Broglie wavelength of the emitted electron will be:
1. \( <2.8 \times 10^{-10}~\text{m} \)
2. \( <2.8 \times 10^{-9}~\text{m} \)
3. \( \geq 2.8 \times 10^{-9}~\text{m} \)
4. \( <2.8 \times 10^{-12}~\text{m} \)
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. \(50\)
1. | \(N\) and \(2T\) | 2. | \(2N\) and \(T\) |
3. | \(2N\) and \(2T\) | 4. | \(N\) and \(T\) |
Waves are associated with matter only:
1. | When it is stationary. |
2. | When it is in motion with the velocity of light only. |
3. | When it is in motion with any velocity. |
4. | None of the above. |
1. | Equal to \(c\), the speed of light in vacuum. |
2. | Greater than \(c\). |
3. | Less than \(c\). |
4. | Tending to infinity. |
If the following particles are moving at the same velocity, then which among them will have the maximum de-Broglie wavelength?
1. Neutron
2. Proton
3. -particle
4. -particle
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. | \(2.2 \times 10^{-52}~\text{kg-m/s}\) |