Physics Circle home Student Login

Home›Chapters›Wave Optics PYQs›Polarisation›Question 14

MHT CET 2026 (13 Apr, Shift 2) · Polarisation

Polarisation question from MHT CET 2026 (13 Apr, Shift 2)

Q14MHT CET 2026 · 13 APR · SHIFT 2Difficult

Polarisation

'n' polarizing sheets are arranged such that each makes an angle 45∘45^\circ with the preceding sheet. An unpolarized light of intensity II is incident into this arrangement. The output intensity is found to be I/64I/64. The value of nn will be

Show answer and solution

Answer: (b)

  1. First sheet: I/2I/2. Each of the next (n−1)(n-1) sheets multiplies by cos⁡245∘=12\cos^2 45^\circ = \frac{1}{2}.
  2. Iout=I2(12)n−1=I2nI_{out} = \frac{I}{2}\left(\frac{1}{2}\right)^{n-1} = \frac{I}{2^n}
  3. I2n=I64⇒n=6\frac{I}{2^n} = \frac{I}{64} \Rightarrow n = 6
  4. So the answer is (b) 66.
Report a mistake

More questions on Polarisation