MCQ
Using monochromatic light of wavelength $\lambda $, an experimentalist sets up the Young 's double slit experiment in three ways as shown. If she observes that $y = \beta '$, the wavelength of light used is.....$nm$
  • A
    $520$
  • $540$
  • C
    $560$
  • D
    $580$

Answer

Correct option: B.
$540$
b
Given $t=1.8 \times 10^{-6} \mathrm{m}$

$\mu=1.6$

$\mathrm{n}=2(\text { from figure })$

Applying formula $(\mu-1) \mathrm{t}=\mathrm{n} \lambda$

$(1.6-1) \times 1.8 \times 10^{-6}=2 \lambda$

or, ${\lambda  = \frac{{1.8 \times {{10}^{ - 6}} \times 0.6}}{2}}$

$=\,540 \,\mathrm{nm}$

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