CBSE Class 12 Physics 2024: question 26(a)
Set in the CBSE Class 12 board exam of 2024, paper 55/1/1, section C, question 26(a), for 3 marks. Try it first; the hints and our step-by-step solution are below.
Q26(a) · 3 marks · Short answerElectromagnetic Waves
"The wavelength of the electromagnetic wave is often correlated with the characteristic size of the system that radiates." Give two examples to justify this statement.
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
Think about where gamma rays come from and how large that source is.
Hint 2
Compare the length of a radio antenna with the wavelength it transmits.
Hint 3
Pair each part of the EM spectrum with the size of its emitting system.
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.
- 1½ marks
Example 1 – Gamma rays: they have wavelengths of about – m. This is comparable to nuclear size (≈ 10⁻¹⁵ m), and gamma rays are indeed emitted by atomic nuclei.
- 1½ marks
Example 2 – Radio waves: they are produced by accelerating electrons in circuits and antennas. An antenna radiates most efficiently at wavelengths comparable to its own size (metres), so radio wavelengths match antenna dimensions. (Also, X-rays of wavelength ≈ 10⁻¹⁰ m come from inner-shell transitions in heavy atoms, whose size is of the same order.)
Answer: Gamma rays (~10⁻¹⁵ m) come from nuclei of similar size; radio waves (metres) come from antennas of comparable size (also X-rays from heavy atoms).
Where the marks are
- First example correctly linking wavelength to source size, e.g. gamma rays – nucleus (1½ marks)
- Second example, e.g. radio waves – antenna size, or X-rays – heavy atoms (1½ marks)
Revise the chapter
- Chapter: Electromagnetic Waves (notes, formulas, where marks are lost and every past question)
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