SATHEE: Ray Optics and Optical Instruments

Ray Optics and Optical Instruments - Result Question 11

11. The frequency of a light wave in a material is $2 \times 10^{14} H z$ and wavelength is $5000 \AA$ . The refractive index of material will be

[2007]

(a) 1.50

(b) 3.00

(d) 1.40

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Answer:

Correct Answer: 11. (b)

Solution:

(b) By using $v = n λ$

Here, $n = 2 \times 10^{14} H z$

$λ = 5000 \AA = 5000 \times 10^{- 10} m$

$v = 2 \times 10^{14} \times 5000 \times 10^{- 10} = 10^{8} m / s$

Refractive index of the material,

$μ = c / v = \frac{3 \times 10^{8}}{10^{8}} = 3$

In case of refraction of light frequency (and hence colour) and phase do not change while wavelength and velocity will change.

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Ray Optics and Optical Instruments - Result Question 11

11. The frequency of a light wave in a material is 2×1014Hz and wavelength is 5000\AA. The refractive index of material will be

Answer:

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11. The frequency of a light wave in a material is $2 \times 10^{14} H z$ and wavelength is $5000 \AA$ . The refractive index of material will be