Long answer·Hard exam skill (4/5)·Calculator allowed

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

In a Young's double-slit experiment, λ=600 nm\lambda=600\text{ nm} and the fringe width is 2.0 mm2.0\text{ mm}. A transparent sheet of thickness 6.0μm6.0\,\mu\text{m} and refractive index 1.501.50 is introduced in front of one slit. Find the optical path difference introduced, the fringe shift, and the direction of shift of the central fringe.
Total: 5 marks

(a) Find the optical path difference introduced by the sheet. (2 marks)

(b) Find the fringe shift on the screen. (2 marks)

(c) State the direction of shift of the central fringe. (1 mark)

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cbse-physics-12.u6.t6-5.laq.001

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