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AP EAMCET · PHYSICS · Wave Optics

In a Young's double slit experiment, light of wavelength \(5900 Å\) is used. When the slits are \(2 \mathrm{~mm}\) apart, the fringe width is \(1.2 \mathrm{~mm}\). If the slit separation is increased to one and half times the previous value, then the fringe width will be

  1. A \(0.9 \mathrm{~mm}\)
  2. B \(0.8 \mathrm{~mm}\)
  3. C \(1.8 \mathrm{~mm}\)
  4. D \(1.6 \mathrm{~mm}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0.8 \mathrm{~mm}\)

Step-by-step Solution

Detailed explanation

In a Young's double slit experiment, wavelength of light, \(\lambda=5900 Å\) and distance between the slits, \(d_1=d=2 \times 10^{-3} \mathrm{~m}\), Fringe width, \(\beta_1=1.2 \times 10^{-3} \mathrm{~m}\) and \(d_2=\frac{3}{2} \mathrm{~d}\) As, the fringe width,…