A Levels Physics (9702)•9702/12/O/N/23

Explanation
Diffraction grating orders limited by observable angles Steps:
- Grating spacing d = 1/300 mm = 3.33 × 10^{-6} m ≈ 3 × 10^{-6} m.
- Wavelength λ = 600 nm = 6 × 10^{-7} m.
- Maximum order from d sin θ = m λ with sin θ ≤ 1 gives m ≤ d/λ ≈ 5.
- For m = 5, sin θ = 1 so θ = 90°, unobservable on screen; thus m_max = 4.
- Total bright spots = 2 m_max + 1 (symmetric about m = 0) = 9. Why D is correct:
- The 9 spots arise from m = -4 to +4, as higher orders at 90° are excluded per the grating equation and practical visibility. Why the others are wrong:
- A. 4: Counts only positive orders up to m = 4, ignoring symmetry and center.
- B. 5: Counts orders from m = 0 to 4 on one side only.
- C. 8: Counts orders from m = ±1 to ±4, excluding central m = 0 maximum.
Final answer: D
Topic: The diffraction grating
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