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Question 119

The intensity of polarized light, III, passing through a rotating filter is modeled by the equation

I=I0cos⁡2θ I = I_0 \cos^2 \theta I=I0​cos2θ

where I0I_0I0​ is the maximum intensity and θ\thetaθ is the angle of the filter in radians. In a specific experiment, the maximum intensity is measured as I0=12I_0 = 12I0​=12 units. Determine all values of θ\thetaθ in the interval 0≤θ≤2π0 \le \theta \le 2\pi0≤θ≤2π for which the intensity III is exactly 999 units. Give your answers in terms of π\piπ.

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Markscheme

Radians Questions

  1. A Level
  2. /Maths
  3. /Radians

278 exam-style questions on Edexcel A Level Maths Radians, covering 5.1 Radian Measure, 5.2 Arc Length, 5.3 Areas of Sectors and Segments, 5.4 Solving Trigonometric Equations, and 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.

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