Physics Circle home Student Login

Home›Chapters›Wave Optics PYQs›Superposition, Coherence & Intensity›Question 10

MHT CET 2026 (13 May, Shift 1) · Superposition, Coherence & Intensity

Superposition, Coherence & Intensity question from MHT CET 2026 (13 May, Shift 1)

Q10MHT CET 2026 · 13 MAY · SHIFT 1Medium

Superposition, Coherence & Intensity

The wavelength of light used in Young's double slit experiment, is λ\lambda. The intensity at a point on the screen is I, where the path difference is λ6\frac{\lambda}{6}. If I0I_0 is the maximum intensity then the ratio I to I0I_0 is (cos⁡30∘=32)\left(\cos 30^\circ = \frac{\sqrt{3}}{2}\right)

Show answer and solution

Answer: (d)

  1. ϕ=2πλ⋅λ6=π3\phi = \dfrac{2\pi}{\lambda}\cdot\dfrac{\lambda}{6} = \dfrac{\pi}{3}
  2. II0=cos⁡2ϕ2=cos⁡230∘=34\dfrac{I}{I_0} = \cos^2\dfrac{\phi}{2} = \cos^2 30^\circ = \dfrac{3}{4}
  3. So the answer is (d) 0.750.75.
Report a mistake

More questions on Superposition, Coherence & Intensity