According to Cauchy's formula, the refra...

According to Cauchy's formula, the refractive index `mu` of a material is related to wavelength `lamda` as………. .

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`mu = A + (B)/(lamda^2) + (C )/(lamda^4)`……..where A,B,C………are constant.

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A beam of light of wavelength 400 nm is incident normally on a right angled prism as shown in Fig. It is observed that light just grazes along the surface AC after falling on it. If refractive index mu of the material of prism varies with wavelength lamda as mu = 1.2 + (b)/(lamda^2) Calculate the value of b and mu of prism material for lamda = 500 nm . Given theta = sin^-1 (0.625) . .

Knowledge Check

Absolute refractive index of a material depends upon

A

nature of material

B

nature, wavelength and size of material

C

density, temperature, wavelength of material

D

fiature, temperature, wavelength of material

The refractive index of a material will be less than unity when

A

material is placed in optically rarer medium

B

material is placed in optically denser medium

C

material is placed in vaccum

D

material is placed in air

Refractive index for a material for infrared light is

A

Equal to that of ultraviolet light

B

Less than for ultraviolet light

C

Equal to that for red colour of light

D

Greater than that for ultraviolet light

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