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NEET 2025
Exam
NEET
Year
2025
Subject
Physics
Chapter
Wave Optics

NEET 2025 · Physics · Wave Optics

The intensity of transmitted light when a polaroid sheet, placed...

The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at 22.5∘22.5^{\circ} from the polarization axis of one of the polaroid, is ( I0\mathrm{I}_0 is the intensity of polarised light after passing through the first polaroid):The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at 22.5^ from theThe intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at 22.5^ from the

Options

  1. A\frac{\mathrm{I}_0}{2}
  2. B\frac{\mathrm{I}_0}{4}
  3. C\frac{\mathrm{I}_0}{8}
  4. D\frac{\mathrm{I}_0}{16}

Correct answer

C. \frac{\mathrm{I}_0}{8}

Step-by-step solution

Initially two polaroids are crossed i.e. 90∘90^{\circ} The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at 22.5^ from the
After passing from first polaroid intensity is I0\mathrm{I}_0The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at 22.5^ from the
⇒I04sin⁡2(2θ)⇒I04sin⁡2(2×22.5)⇒I08\begin{aligned} & \Rightarrow \frac{\mathrm{I}_0}{4} \sin ^2(2 \theta) \\ & \Rightarrow \frac{\mathrm{I}_0}{4} \sin ^2(2 \times 22.5) \\ & \Rightarrow \frac{\mathrm{I}_0}{8}\end{aligned}
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