ExamBro
ExamBro
TS EAMCET · Physics · Wave Optics

In a single slit diffraction, the slit is illuminated with light of wavelength \(6000 Å\). If the slit were illuminated by a light of wavelength \(\lambda\) the angular width of the central maximum decreases by \(30 \%\). Then \(\lambda\) is

  1. A \(6000 Å\)
  2. B \(4200 Å\)
  3. C \(3000 Å\)
  4. D \(1800 Å\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(4200 Å\)

Step-by-step Solution

Detailed explanation

Angular width \(\theta=2 \sin ^{-1}\left(\frac{\lambda}{\mathrm{d}}\right)\) or, \(\theta \propto \lambda\) \(\therefore \theta_1=\theta= k \lambda_1 \quad \ldots\) (i) and \(\theta_2=\theta-\theta \times \frac{30}{100}= k \lambda_2\) or,…
Same subject
Explore more questions on app
From TS EAMCET
Explore more questions on app