The speed of light in water and glass is 2.2xx10^(8) m/s and 2xx10^(8) m/s respectively. What is the refractive index of : (a) water w.r.t. glass (b) glass w.r.t water.

The speed of light in water and glass is 2.2xx10^(8) m/s and 2xx10^(8)

1.	The speed of light in water and glass is 2.2xx10^(8) m/s and 2xx10^(8) m/s respectively. What is the refractive index of : (a) water w.r.t. glass (b) glass w.r.t water.
Answer» Solution :Given : `v_(w)=2xx10^(8)` m/s (water) `v_(G)=2xx10^(8)` m/s (GLASS) To find : (i) `""_(g)n_(w)=?` (II) `""_(w)n_(g)` Formula : (i) `""_(g)n_(w)=v_(g)/v_(w)` (ii)`""_(w)n_(g)=v_(w)/v_(g)` Solution (i) `""_(g)N=v_(g)/v_(w)=(2xx10^(8))/(2.2xx10^(8))`=0.909 (ii) `""_(w)n_(g)=v_(w)/v_(g)=(2.2xx10^(8))/(2xx10^(8))`=1.1 (i) Refractive index of water w.r.t. glass `""_(g)n_(w)`=0.909 (ii)Refractive index of glassw.r.t. glass `""_(w)n_(g)`=1.1