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Q.

Light of wavelength $6000 Å$ is incident on a thin glass plate of refractive index 1.5 such that angle of refraction into the plate is 60⁰. The smallest thickness of plate which will make it appear dark by reflection is :

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a

$4 \times 10^{- 7} m$

b

$6 \times 10^{- 7} m$

c

$4 \times 10^{- 7} cm$

d

$6 \times 10^{- 7} cm$

answer is A.

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Detailed Solution

$2 μt \cos r = λ$

$2 \times \frac{3}{2} \times t \cos 60^{\circ} = 6 \times 10^{- 7} m$

$t = 9 \times 10^{- 7} m$

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