CBSE Class 12 Physics 2024: question 15
Set in the CBSE Class 12 board exam of 2024, paper 55/5/1, section A, question 15, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q15 · 1 mark · Assertion-reasonCompetency-basedWave Optics
Assertion (A): In a Young's double-slit experiment, interference pattern is not observed when two coherent sources are infinitely close to each other.
Reason (R): The fringe width is proportional to the separation between the two sources.
- (A)If both Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).
- (B)If both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- (C)If Assertion (A) is true but Reason (R) is false.
- (D)If both Assertion (A) and Reason (R) are false.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 55/5/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Write the fringe width formula.
Hint 2
Check how β depends on d.
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.
- ½ mark
; as , fringe width becomes very large, so a single fringe fills the screen and no pattern is seen. Assertion true.
- ½ mark
Fringe width is inversely (not directly) proportional to , so Reason is false. Option (C).
Answer: Option (C)
Where the marks are
- Assertion true, Reason false since β ∝ 1/d (1 mark)
Revise the chapter
- Chapter: Wave Optics (notes, formulas, where marks are lost and every past question)
- Topic: Young's Double Slit Experiment
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