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A parallel beam of white light is incident on a thin film of air of uniform thickness. If three wavelengths are missing from the spectrum in visible region of reflected light viewed normally, two of them are $7200 \overset{o}{A}$ and $5400 \overset{o}{A}$ . The other wavelength in the visible missing in reflected spectrum is:

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$5500 \overset{o}{A}$

$4000 \overset{o}{A}$

$4320 \overset{o}{A}$

$6000 \overset{o}{A}$

answer is B.

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Detailed Solution

For the interference between reflected light from a thin film the condition of minima is
$2 μ t = n λ$
In the given problem
$n_{1} λ_{1} = 2 μ t ∴ n 7200^{°} A = (n + 1) 5400^{°} A \Rightarrow n = 3$

$∴$ Other possibilities are

$3 \times 7200^{°} A = (3 + 2) λ λ = \frac{3}{5} \times 7200^{°} A = 3 \times 1440^{°} A = 4320^{°} A$

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