Question

Absolute refractive index for a given light in a given medium depends on
a) wavelength b) frequency c) speed
d)both a and c​

Answer 1

Answer:

D. both a and c

refraction of light is depended upon the wavelength of the light and speed of light  because

absolute refractive index = refractive index of medium : refractive index of the air

also refraction of light occur to the speed and wavelength

as wavelength of a light ray is directly proportional to the velocity of light .....

Explanation:

Answer 2

To find:

On which parameters of a wave does the absolute refractive index of a given medium depend ?

Solution:

Absolute refractive index for a given light in a given medium is defined as the ratio of the velocity of light in vacuum to the velocity of light in that medium.

So, we can express as follows :

$\boxed{ \sf \therefore \: \mu = \dfrac{v_{vacuum}}{v_{medium}} }$

Now, we know that for a given source the frequency remains constant :

$\sf \implies \: \mu = \dfrac{ \lambda_{vacuum} \times f}{ \lambda_{medium} \times f}$

$\boxed{ \sf \implies \: \mu = \dfrac{ \lambda_{vacuum} }{ \lambda_{medium} } }$

• The first equation shows the expression involving speed of light.

• The second equation shows the expression involving wavelength of light.

Hence , we can say that absolute refractive index is dependent on both speed as well as wavelength.