CBSE Class 12 Physics 2024: question 18(a)
Set in the CBSE Class 12 board exam of 2024, paper 55/1/1, section B, question 18(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.
Q18(a) · 2 marks · Very short answerWave Optics
Monochromatic light of frequency Hz passes from air into a medium of refractive index 1.5. Find the wavelength of the light (i) reflected, and (ii) refracted at the interface of the two media.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 55/1/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Which property of light stays the same when it is reflected or refracted?
Hint 2
Reflected light travels in air, so use .
Hint 3
In the medium the speed becomes while the frequency is unchanged, so the wavelength changes by the same factor.
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
- 1 mark
(i) The reflected light stays in air, so its speed is and the frequency is unchanged. Using : m = 600 nm.
- 1 mark
(ii) On refraction the frequency stays the same but the speed falls to , so nm m.
Answer: (i) 600 nm; (ii) 400 nm
Where the marks are
- Uses to get the reflected wavelength 600 nm (1 mark)
- Uses to get the refracted wavelength 400 nm (1 mark)
Revise the chapter
- Chapter: Wave Optics (notes, formulas, where marks are lost and every past question)
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