Refractive indices of water an glass are `4//3 and 3//2` respectively. A ray of light travelling in water is incident on the water glass interface at `30^@`. Calculate the angle of refraction.
Text Solution
Verified by Experts
Here, `.^(a)mu_(g) = 4//3` and `.^(a)mu_(g) = 3//2` Refractive index of glass w.r.t. water `.^(w)mu_(g) = (.^amu_g)/(.^amu_w) = (3//2)/(4//3) = (9)/(8)` Now, in water, `I = 30^(@), r = ?` `(sin i)/(sin r) = .^(w)mu_(g) = (9)/(8)` `sin r = (8)/(9)sin i = (8)/(9)sin 30^(@) = (4)/(9) = 0.4444` `r = sin^(-1)(0.4444) = 26^(@)23'`
Topper's Solved these Questions
OPTICS
PRADEEP|Exercise Very short answer question|5 Videos
OPTICS
PRADEEP|Exercise very short answer questions|1 Videos
A thick rectangular glass slab is kept inside a water trough. A ray of light passing through water is incident on the glass slab at an angle of 45^(@) . Calculate the angle of refraction, if refractive indices of water and glass are 1.33 and 1.45 respectively.
A ray of light is incident on the surface of a glass plate of index of refraction 1.55 at the polarizing angle. Calculate the angle of refraction.
A ray of light is incident on the surface of a glass plate of refractive index 1.6 at polarzing angle. Calculate the angles of reflection and refraction.
The refractive indices of glass and water are 3/2 and 4/3 respectively. The refractive index of glass with respect to water is
Absolute refractive indices of glass and water are 3//2 and 4//3 . The ratio of velocity of light in glass and water will be
The refractive indices of water and glass with respect to air are 1.2 and 1.5 respectively. The refractive index of glass with respect to water is
The refractive indices of glass and water are 1.54 and 1.33 respectively. What is the polarising angle for a beam of light going from water to glass ?
If the absolute refractive indices of glass and water are 5/3 and 4/3 respectively, then what is the refractive index of glass with respect to water ?
If refractive indices of glass and water with respect to air are 3//2 and 4//3 respectively, what is the refractive index of glass with respect to water ?
