The refractive index of water with respect to vacuum is
and refractive index of vacuum with respect to glass is
. If the speed the speed of light in glass is 2 × 108 ms-1, find the speed of light in (i) vacuum, (ii) water.
Given;
Refractive index of (R.I) water w.r.t vacuum
;
Refractive index (R.I) of vacuum w.r.t glass
;
Refractive index (R.I) of glass to vacuum will be = ![]()
Refractive index of glass to water = ![]()
⇒ Refractive index of glass w.r.t water = ![]()
⇒ ![]()
⇒ ![]()
⇒ speed of light in water![]()
⇒ speed of light in water![]()
Thus, speed of light in water = 2.25 × 108.
Refractive index of water w.r.t vacuum = vμw
;
⇒ ![]()
⇒ ![]()
![]()
⇒ ![]()
Thus, speed of light in vacuum is 3 × 108 m/s.