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प्रश्न
Find the thickness of a plate which will produce a change in optical path equal to half the wavelength λ of the light passing through it normally. The refractive index of the plate is μ.
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उत्तर
Given
The refractive index of the plate is \[\mu.\]
Let the thickness of the plate be 't' to produce a change in the optical path difference of \[\frac{\lambda}{2}.\]
We know that optical path difference is given by \[\left( \mu - 1 \right)t.\]
\[\therefore \left( \mu - 1 \right)t = \frac{\lambda}{2}\]
\[ \Rightarrow t = \frac{\lambda}{2\left( \mu - 1 \right)}\]
Hence, the thickness of a plate is \[\frac{\lambda}{2\left( \mu - 1 \right)}.\]
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संबंधित प्रश्न
The wavelength of light in a medium is \[\lambda = \lambda_0 /\mu,\] where \[\lambda \] is the wavelength in vacuum. A beam of red light \[\left( \lambda_0 = 720\text{ nm} \right)\] enters water. The wavelength in water is \[\lambda = \lambda_0 /\mu = 540\text{ nm.}\] To a person under water, does this light appear green?
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A parallel beam of white light is incident normally on a water film 1.0 × 10−4 cm thick. Find the wavelengths in the visible range (400 nm − 700 nm) which are strongly transmitted by the film. Refractive index of water = 1.33.
Answer in brief:
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