Answer:
The the angle between the axis of polarization of the light and the transmission axis of the analyzer is 52⁰.
Step-by-step explanation:
Given;
I₀ as incident light intensity
The intensity of a linearly polarized light passing through a polarizer is given by Malus' law:
I = I₀Cos²θ
where;
I is the intensity after passing through the analyzer
θ is the the angle between the axis of polarization of the light and the transmission axis of the analyzer.
If 38% of the total intensity is transmitted, then I = 38% of I₀ = 0.38I₀
0.38I₀ = I₀Cos²θ
0.38 = Cos²θ
Cosθ = √0.38
Cosθ = 0.6164
θ = Cos⁻¹ (0.6164)
θ = 51.95° = 52⁰
Therefore, the angle between the axis of polarization of the light and the transmission axis of the analyzer to allow 38% of the total intensity to be transmitted is 52⁰.