- 1(current)
Q. No.| Statement I: | The de Broglie wavelength associated with a material particle depends on its charge and nature. |
| Statement II: | The wave nature of particles in sub-atomic domain is significant and measurable. |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Both Statement I and Statement II are incorrect. |
| 3. | Statement I is correct but Statement II is incorrect. |
| 4. | Statement I is incorrect but Statement II is correct. |
| 1. |  |
2. |  |
| 3. |  |
4. |  |
1. \(13.6\) nm
2. \(136\) nm
3. \(1.36\) nm
4. \(0.136\) nm
The de-Broglie wavelength of the thermal electron at \(27^\circ \text{C}\) is \(\lambda.\) When the temperature is increased to \(927^\circ \text{C},\) its de-Broglie wavelength will become:
| 1. | \(2\lambda\) | 2. | \(4\lambda\) |
| 3. | \(\dfrac\lambda2\) | 4. | \(\dfrac\lambda4\) |
An electron of mass \(m\) with an initial velocity \(\overrightarrow v= v_0\hat i\)\( ( v_o > 0 ) \) enters in an electric field \(\overrightarrow E = -E_0 \hat i\) \((E_0 = \text{constant}>0)\) at \(t=0.\) If \(\lambda_0,\)
| 1. | \(\frac{\lambda_0}{\left(1+ \frac{eE_0}{mv_0}t\right)}\) | 2. | \(\lambda_0\left(1+ \frac{eE_0}{mv_0}t\right)\) |
| 3. | \(\lambda_0 t\) | 4. | \(\lambda_0\) |
Light of wavelength \(500~\text{nm}\) is incident on metal with work function \(2.28~\text{eV}\). The de-Broglie wavelength of the emitted electron is:
| 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. | \(\leq 2.8\times 10^{-12}~\text{m}\) |
| 1. | \(\dfrac{3.08}{\sqrt{T}} ~\mathring{A}\) | 2. | \(\dfrac{0.308}{\sqrt{T}} ~\mathring{A}\) |
| 3. | \(\dfrac{0.0308}{\sqrt{T}} ~\mathring{A}\) | 4. | \(\dfrac{30.8}{\sqrt{T}} ~\mathring{A}\) |
1. \(\lambda_p \propto \lambda_e\)
2. \(\lambda_p \propto \sqrt{\lambda_e}\)
3. \(\lambda_p \propto \frac{1}{\sqrt{\lambda_e}}\)
4. \(\lambda_p \propto \lambda_e^2\)
If the momentum of an electron is changed by \(p,\) then the de-Broglie wavelength associated with it changes by \(0.5\%.\) The initial momentum of an electron will be:
| 1. | \(400p\) | 2. | \(\frac{p}{100}\) |
| 3. | \(100p\) | 4. | \(200p\) |
An \(\alpha\text-\)particle moves in a circular path of radius \(0.83~\text{cm}\) in the presence of a magnetic field of \(0.25~\text{Wb/m}^2.\) The de-Broglie wavelength associated with the particle will be:
1. \(1~\mathring{A}\)
2. \(0.1~\mathring{A}\)
3. \(10~\mathring{A}\)
4. \(0.01~\mathring{A}\)
- 1(current)
Q. No.
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