NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Dual Nature of Matter
NEET · Physics · Dual Nature of Matter
On a photositive surface of threshold wavelength (5 λ), two...
On a photositive surface of threshold wavelength (5 \lambda), two different monochromatic beams of wavelengths (3 \lambda) and (\lambda) are incident, one after another, then match the ratio of physical quantities specified in column - I to the ratio values given in column - II.
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Choose the correct answer from the option given below:
| Column I | Column II | ||
| (a) | Maximum KE of photo electrons | (i) | 1 : 3 |
| (b) | Speed of incident photons | (ii) | 1 : 6 |
| (c) | Momentum of incident photons | (iii) | 1 : \sqrt{6} |
| (d) | Fastest speeds of photo electrons | (iv) | 1 : 1 |
Options
- A(a) - iii, (b) - ii, (c) - i, (d) - iv
- B(a) - ii, (b) - iv, (c) - iii, (d) - i
- C(a) - ii, (b) - iv, (c) - i, (d) - iii
- D(a) - i, (b) - ii, (c) - iv, (d) - iii
Correct answer
C. (a) - ii, (b) - iv, (c) - i, (d) - iii
Step-by-step solution
) (a) RatioKE (\frac{\mathrm{K}_1}{\mathrm{~K}_2}=\frac{\frac{\mathrm{hc}}{\lambda}\left[\frac{2}{15}\right]}{\frac{\mathrm{hc}}{\lambda}\left[\frac{4}{5}\right]}=\frac{1}{6}=1: 6) (b) Ratio of speeds of incident photons (\frac{c_1}{c_2}=\frac{1}{1}=1: 1) Ratio of momentum of incident photons (\frac{\mathrm{p}_1}{\mathrm{p}_2}=\frac{\lambda_2}{\lambda_1}=\frac{\lambda}{3 \lambda}=1: 3) (c) Ratio of fastest speed of photo electrons (\frac{v_1}{v_2}=\sqrt{\frac{K_1}{K_2}}=\sqrt{\frac{1}{6}}=1: \sqrt{6})$