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  • A parallel beam of white light falls on a thin film whose refractive index is 1.33. If angle of incidence is <img alt="52^{\circ}" src="https://entrancecorner.oncodecogs.com/gif.latex?52%5E%7B%5Cci

A parallel beam of white light falls on a thin film whose refractive index is 1.33. If angle of incidence is 52^{\circ}  then thickness of the film for the reflected light to be coloured yellow (\lambda=6000 \AA) most intensively must be

Option: 1

14(2 \mathrm{n}+1) \mu \mathrm{m}


Option: 2

1.4(2 \mathrm{n}+1) \mu \mathrm{m}


Option: 3

0.14(2 \mathrm{n}+1) \mu \mathrm{m}


Option: 4

142(2 n+1) \mu m


Answers (1)

best_answer

\mathrm{\mu=\frac{\sin i}{\sin r} \Rightarrow \sin r=\frac{\sin i}{\mu}=\frac{0.788}{1.33}=0.6}
\mathrm{ \cos r=\sqrt{1-\sin ^{2} r}=\sqrt{1-(0.6)^{2}}=0.8}

For constructive interference on reflection

\mathrm{ 2 \mu t \cos r=(2 n+1) \frac{\lambda}{2} }
\mathrm{ \Rightarrow t=\frac{(2 n+1) \lambda}{4 \mu \cos r}=\frac{(2 n+1) \times 0.6}{4 \times 1.33 \times 0.8} }
\mathrm{ =0.14(22+1) \mu \mathrm{m}}

Posted by

vishal kumar

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