| List-I | List-II | ||
| \(\mathrm{(A)}\) | \(E = h\nu\) | \(\mathrm{(I)}\) | de-Broglie wavelength |
| \(\mathrm{(B)}\) | Diffraction and Interference | \(\mathrm{(II)}\) | Particle nature of light |
| \(\mathrm{(C)}\) | \(\lambda = h/p\) | \(\mathrm{(III)}\) | Wave nature of light |
| \(\mathrm{(D)}\) | Compton effect | \(\mathrm{(IV)}\) | Energy of photon |
| 1. | ![]() |
| 2. | ![]() |
| 3. | ![]() |
| 4. | ![]() |
| 1. | \(275\) | 2. | \(\dfrac {2 } {450}\) |
| 3. | \(\dfrac {1} {250}\) | 4. | \(225\) |
A photon and an electron (of mass \(m\)) have the same total energy \(E. \) If \(c\) denotes the speed of light, what is the ratio of their de-Broglie wavelengths \((\lambda_{\text{photon}}/\lambda_{\text{electron}})\text{?} \)
| 1. | \(c\sqrt{\dfrac{2m}{E}} \) | 2. | \(\dfrac{1}{c}\sqrt{\dfrac{E}{2m}}\) |
| 3. | \(\sqrt{\dfrac{E}{2m}}\) | 4. | \(c\sqrt{2mE}\) |
| (A) | ![]() |
(B) | ![]() |
| (C) | ![]() |
(D) | ![]() |
| 1. | (A) and (D) | 2. | (B) and (D) |
| 3. | (A) only | 4. | (A) and (C) |
| 1. | \(1.67~ \text{nm}\) | 2. | \(2.67~ \text{nm}\) |
| 3. | \(0.067~ \text{nm}\) | 4. | \(0.67~ \text{nm}\) |
| 1. | \(\lambda_{\mathrm{e}}>\lambda_{\alpha}\) | 2. | \(\lambda_{\mathrm{e}}=4\lambda_{\alpha}\) |
| 3. | \(\lambda_{\mathrm{e}}=\lambda_{\alpha}\) | 4. | \(\lambda_{\mathrm{e}}<\lambda_{\alpha}\) |
| 1. | \(4.4~\text{eV}\) | 2. | \(7.103\times10^{-15}~\text{J}\) |
| 3. | \(1.9~\text{eV}\) | 4. | \(4.60~\text{eV}\) |