Glass and water have a refractive index of 1.52 and 1.34 respectively. What is the refractive index of glass w.r.t. water? How much time will light take to pass through a hypothetical tube of 40,000km half filled with water and other half filled with glass. Take 'c' =3 x 10^8m/s

Open in App

Solution

Refractive index is not varying with respect to any other things
so it is same
Refractive index n=c/velocity of light in medium
distace to be travelled throgh water=40000/2=20000km
throgh glass=20000km
velocity throgh water=c/n
=300000km/1.34=223880.59km/sec
so time taken to travel 20000km is 20000/223880=.089 sec
velocity throgh glass=300000/1.52=197368.42
time taken to travel 20000km=.10 second
total time=.19 sec

Suggest Corrections

Similar questions

Glass and water have a reflective index of 1.52 and 1.34 respectively. What is the refractive index of glass with respect to water? How much time will light take to pass through hypothetical tube of 40,000 km half filled with water and other half filled with glass. Take C = 3×10⁸ m/s .

Solve:

(1) The speed of light in a transparent medium is 2.4 × 10⁸ m/s. Calculate absolute refractive index of the medium.

(2) The speed of light in water and glass is 2.2 × 10⁸ m/s and 2 × 10⁸ m/s, respectively. What is the refractive index of −

(a) water w.r.t. glass

(b) glass w.r.t. water.

(3) Refractive index of water is 4/3 and speed of light in air is 3×10⁸ m/s. Find speed of light in water.

Q. The refractive index of water and glass are 1.2 and 1.5 with respect to air, respectively. Calculate the refractive index of glass with respect to water. (Take speed of light in air, c = 3 × 108 m/s)

Q. The speed of light in water and glass is 2.2