Q. No.| 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. \(\lambda_0 = \frac{2mc\lambda^2}{h}\)
2. \(\lambda_0 = \frac{2h}{mc}\)
3. \(\lambda_0 = \frac{2m^2c^2\lambda^3}{h^2}\)
4. \(\lambda_0 = \lambda\)
1. \(+3\) V
2. \(+4\) V
3. \(-1\) V
4. \(-3\) V
When a metallic surface is illuminated with radiation of wavelength , the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2, the stopping potential is .The threshold wavelength for metallic surface is:
1. 5
2.
3. 3
4. 4
An electron of mass m and a photon have the same energy E. Find the ratio of de-Broglie wavelength associated with the electron to that associated with the photon. (c is the velocity of light)
A radiation of energy 'E' falls normally on a perfectly reflecting surface. The momentum transferred to the surface is (c=velocity of light)
1. E/c
2. 2E/c
3. 2E/c2
4. E/c2
1. \(6\lambda\)
2. \(4\lambda\)
3. \(\dfrac{\lambda}{4}\)
4. \(\dfrac{\lambda}{6}\)
Which of the following figures represents the variation of the particle momentum and the associated de-Broglie wavelength?
| 1. |  |
2. |  |
| 3. |  |
4. |
 |
(\(h\) = Planck’s constant, \(c\) = speed of light)
1. \(\frac{hc}{2\lambda}\)
2. \(\frac{hc}{\lambda}\)
3. \(\frac{2hc}{\lambda}\)
4. \(\frac{hc}{3\lambda}\)
Light with a wavelength of \(500\) nm is incident on a metal with a work function of \(2.28~\text{eV}.\) 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. \( <2.8 \times 10^{-12}~\text{m} \)
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