Question

Does the denser medium has larger value of refractive index than rater

Answer 1

Consider these 2 examples : ( i=angle of incidence, r=angle of refraction)

1. A ray of light is travelling from air to glass, so:
Refractive index of glass with respect to air=sin i/sin r

But since the ray travels from a rarer medium(air) to a denser medium(glass), the ray of light will bend towards the normal, and hence angle of refraction will be will lesser than angle of incidence.

Hence the refractive index of glass with respect to air will be greater than 1.

2. A ray of light travels from glass to air, so:
Refractive index of air with respect to glass=sin i/sin r

But since the ray travels from a denser medium(glass) to a rarer medium(air), the ray of light will bend away from the normal, and hence the angle of refraction will be greater than angle of incidence.

Hence the refractive index of air with respect to glass will be lesser than 1.


Basically refractive index of one medium
depends on the other medium.

So overall refractive index of a material depends on 2 things, the original medium and the final medium.


So yes, with the above examples we have proved that an optically denser medium has a greater refractive index when compared to an optically rarer medium.

Answer 2

$your \: answer$
denser medium has a larger value of refractive index than rarer medium we can get this through the relationship

refractive index =sin I /sin r

so when the light travels from rarer to denser it bends towards the normal and when denser to rarer away from normal

hope helps