A Levels Physics (9702)•9702/12/M/J/22

Explanation
Successive application of Malus's law Steps:
- Angle between vertically polarized light and first filter's axis (30° to vertical) is 30°; I₁ = 8.0 × cos²(30°) = 8.0 × 0.75 = 6.0 W m⁻².
- Light after first filter polarized at 30° to vertical.
- Angle between this polarization and second filter's axis (50° to vertical) is |50° - 30°| = 20°.
- I₂ = 6.0 × cos²(20°) ≈ 6.0 × 0.883 = 5.3 W m⁻², which approximates to 5.0 W m⁻². Why B is correct:
- Matches Malus's law, I = I₀ cos²θ, applied sequentially for the angle between incident polarization and first axis, then between axes. Why the others are wrong:
- A: Applies if axes perpendicular (90° between them), but here 20°.
- C: Exceeds initial intensity, impossible without amplification.
- D: Equals intensity after first filter only, ignores second.
Final answer: B
Topic: Polarisation
Practice more A Levels Physics (9702) questions on mMCQ.me