Choose the correct statement.

  • A
    While watching television by means of an antenna,a passing nearby aeroplane can produce wavering ghost images in the television picture.
  • B
    Solar cells are often coated with a transparent thin film,such as silicon monoxide $(SiO)$,to minimize reflective losses.
  • C
    Glass lenses used in cameras and other optical instruments are usually coated with a transparent thin film,such as magnesium fluoride $(MgF_2)$,to reduce or eliminate unwanted reflection.
  • D
    All of these.

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$A$ parallel coherent beam of light falls on a Fresnel biprism of refractive index $\mu$ and refracting angle $\alpha$. The fringe width on a screen at a distance $D$ from the biprism will be (wavelength $= \lambda$).

In Fresnel's biprism $(\mu = 1.5)$ experiment,the distance between the source and the biprism is $0.3\, m$,the distance between the biprism and the screen is $0.7\, m$,and the angle of the prism is $1^\circ$. The fringe width with light of wavelength $6000\ \mathring{A}$ will be: (in $, cm$)

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If a biprism experiment is immersed in water,and the fringe width in air is $\beta_a$,find the new fringe width if the refractive index of the biprism material is $1.5$ and the refractive index of water is $1.33$.

$A$ transparent film of refractive index $2.0$ is coated on a glass slab of refractive index $1.45$. What is the minimum thickness of the transparent film to be coated for the maximum transmission of green light of wavelength $550 \ \text{nm}$ (in $\text{nm}$)? [Assume that the light is incident nearly perpendicular to the glass surface.]

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