A particle is dropped from a height \(H.\) The de-Broglie wavelength of the particle as a function of height is proportional to:
1. \(H\)
2. \(H^{1/2}\)
3. \(H^{0}\)
4. \(H^{-1/2}\)
1. | \(\dfrac{\lambda_0}{\left(1+\dfrac{e E_0}{m} \dfrac{t}{{v}_0}\right)}\) | 2. | \(\lambda_0\left(1+\dfrac{e E_0 t}{m {v}_0}\right)\) |
3. | \(\lambda_0 \) | 4. | \(\lambda_0t\) |
According to Einstein's photoelectric equation, the graph between the kinetic energy of photoelectrons ejected and the frequency of incident radiation is:
1. | |
2. | |
3. | 4. |
Which of the following is not the property of cathode rays:
1. | it produces a heating effect. |
2. | it does not deflect in the electric field. |
3. | it casts a shadow. |
4. | it produces fluorescence. |
Which one among the following shows the particle nature of light?
1. | Photoelectric effect | 2. | Interference |
3. | Refraction | 4. | Polarisation |
A photo-cell is illuminated by a source of light, which is placed at a distance \(d\) from the cell. If the distance becomes \(\dfrac{d}{2}\), then the number of electrons emitted per second will be:
1. same
2. four times
3. two times
4. one-fourth
1. | cathode rays are streams of negatively charged ions. |
2. | all the mass of an atom is essentially in the nucleus. |
3. | the \(\frac{e}{m}\) of electrons is much greater than the \(\frac{e}{m}\) of protons. |
4. | the \(\frac{e}{m}\) ratio of the cathode ray particles changes when a different gas is placed in the discharge tube. |
1. | \(5.03\times10^{12}\) Hz | 2. | \(6.12\times10^{14}\) Hz |
3. | \(5.16\times10^{14}\) Hz | 4. | \(6.51\times10^{12}\) Hz |
The work function of caesium is \(2.14~\text{eV}\). The wavelength of incident light if the photocurrent is brought to zero by a stopping potential of \(0.60~\text{V}\) will be:
1. \(454~\text{nm}\)
2. \(440~\text{nm}\)
3. \(333~\text{nm}\)
4. \(350~\text{nm}\)
What is the de-Broglie wavelength associated with an electron moving at a speed of \(5.4\times10^6~\text{m/s}\)?
1. | \(0.244~\text{nm}\) | 2. | \(0.135~\text{nm}\) |
3. | \(0.157~\text{nm}\) | 4. | \(0.111~\text{nm}\) |