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.....\(nm\)

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Answer & Solution

Correct Answer

(B) \(540\)

Step-by-step Solution

Detailed explanation

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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