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(A) The phenomenon of colours in thin films is due to the interference of light waves reflected from the top and bottom surfaces of the film.For const

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$10^{-6}$

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(A) The phenomenon of colours in thin films is due to the interference of light waves reflected from the top and bottom surfaces of the film.For constructive interference to occur in the visible spectrum, the path difference must be related to the wavelength of light $(\lambda)$.The condition for interference in a thin film of thickness $t$ is approximately $2\mu t \approx n\lambda$.Since the wavelength of visible light ranges from approximately $400\,nm$ to $700\,nm$ (i.e., $4 	imes 10^{-7}\,m$ to $7 	imes 10^{-7}\,m$), the thickness $t$ of the oil film must be of the same order of magnitude as the wavelength of visible light.Therefore, the order of magnitude of the thickness is $10^{-7}\,m$ to $10^{-6}\,m$.Among the given options, $10^{-6}\,m$ is the most appropriate order of magnitude.

Oil floating on water looks coloured due to interference of light. What should be the order of magnitude of the thickness of the oil layer in order that this effect may be observed? (in $m$)

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