Home
Class 11
PHYSICS
The XY plane is the boundary between two...

The XY plane is the boundary between two tranparednt media. Medium 1 with `z ge 0` has a refraxtive index of `sqrt2` and medium 2 with `z le 0` has a refractive index of `sqrt3`. A ray of light in medium 1 given by the vector `6sqrt(3)hat(i)+8sqrt(3)hat(j)-10hatk` is incident on teh plane of separation. Find the unit vector in the direction of teh refracted ray in medium 2.

A

`45^@`

B

`60^@`

C

`75^@`

D

`30^@`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let the x-z plane be the boundary between two transparent media. Medium 1 in zge0 has a refractive index of sqrt2 and medium 2 with zlt0 has a refractive index of sqrt3 . A ray of light in medium 1 given by the vector vecA=6sqrt3hati+8sqrt3hatj-10hatk is incident on the plane of separation. The angle of refraction in medium 2 is:

The x-y plane is the boundary between two transparent media. Medium-1 with zle0 has a refractive index sqrt(2) and medium -2 with zle0 has a refractive index sqrt(2) . A ray of light in medium -1 given by vector A=sqrt(3)hati-hatk is incident on the plane of separation. The unit vector in the direction of the refracted ray in medium-2 is

x-y plane separates two media, zge0 contains a medium of refractive index 1 and zle0 contains a medium of refractive index 2. A ray of light is incident from first medium along a vector hati+hatj-hatk . Find the unit vector along the refracted ray.

A ray of light travelling in the direction (1)/(2) (hati,+sqrt3hatj) is incident on a plane mirror. After reflection, it travels along the direction (1)/(2)(hati-sqrt3hatj) . The angle of incidence is

The refractive index of a medium is sqrt(3) . What is the angle of refraction, if unpolarizing light is incident on the polarising angle of the medium ?

In the figure shown, the angle made by the light ray with the normal in the medium of refractive index sqrt2 is

The xz plane separates two media A and B with refractive indices mu_(1) & mu_(2) respectively. A ray of light travels from A to B . Its directions in the two media are given by the unit vectors, vec(r)_(A)=a hat i+ b hat j & vec(r)_(B)= alpha hat i + beta hat j respectively where hat i & hat j are unit vectors in the x & y directions. Then :

Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k which has magnitude 21 units.

The xz plane separates two media A and B with refractive indices mu_(1) & mu_(2) respectively. A ray of light travels from A to B . Its directions in the two media are given by the unut vectors, vec(r)_(A)=a hat i+ b hat j & vec(r)_(B) alpha hat i + beta hat j respectively where hat i & hat j are unit vectors in the x & y directions. Then :

Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k k which has magnitude 21 units.