If hat(i) denotes a unit vector along in...

If `hat(i)` denotes a unit vector along incident light ray, `hat( r)` a unit vector along refracted ray into a medium of refractive index `mu` and `hat(n)` unit vector normal to boundary of medium directed towards incident medium, then law of refraction is

`hat(i).hat(n) = mu(hat(r)hat(n))`

`hat(i)xxhat(n) = mu(hat(n)xxhat(r))`

`hat(i)xxhat(n) = mu(hat(r)xxhat(n))`

`mu(hat(i)xxhat(n)) = hat(r)xxhat(n)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

REFRACTION OF LIGHT
TARGET PUBLICATION|Exercise COMPETITIVE THINKING|88 Videos
REFRACTION OF LIGHT
TARGET PUBLICATION|Exercise EVALUATION TEST|15 Videos
REFRACTION OF LIGHT
TARGET PUBLICATION|Exercise EVALUATION TEST|15 Videos
RAY OPTICS
TARGET PUBLICATION|Exercise EVALUATION TEST|16 Videos
SCALARS AND VECTORS
TARGET PUBLICATION|Exercise Evaluation Test|19 Videos

Similar Questions

Explore conceptually related problems

A ray of light passes from vaccuum to a medium refractive index mu . The angle of incidence is found to be twice the angle of refraction. The angle of refraction is

Light of a certain wavelength has a wave number barv in vacum. Its wave number in a medium of refractive index n is

The angle of minimum deviation for an incident light ray on an equilateral prism is equal to its refracting angle. The refractive index of its material is

A ray of light travelling from first medium is incident at an angle of 30^(@) on the second medium and refracted at an angle of 45^(@) . Find refractive index of the second medium with respect to first medium and angle of emergence.

A ray of light passes from a medium A having refractive index 1.6 to the medium B having refractive index 1.5. the value of critical angle of medium A is _______

The angle theta between the vector vec(p)=hat(i)+hat(j)+hat(k) and unit vector along X-axis is

The distance travelled by a ray of light in two media, in the same time are in the ratio 2 : 3. The ratio of refractive index of the first medium to second medium is

vec(A) is a vector with magnitude A, then the unit vector hat(A) in the direction vec(A) is

TARGET PUBLICATION-REFRACTION OF LIGHT -CRITICAL THINKING

A ray of light passing through a prism having refractive index sqrt(2)...
Text Solution
|
The distance travelled by a ray of light in two media, in the same tim...
Text Solution
|
A small bulb is placed at the bottom of a tank containing water to a d...
Text Solution
|
A tank is filled with water to height of 12.5 cm. The apparent depth o...
Text Solution
|
A vessel of depth 2d cm is half filled with liquid of refractive inde...
Text Solution
|
A layer of oil 3 cm thick is flowing on a layer of coloured wtater 5 c...
Text Solution
|
In the given figure, the principal section of a glass prism is an isos...
Text Solution
|
The deviation produced by a thin glass prism placed in air, when immer...
Text Solution
|
A fish at a depth of sqrt(7) cm bleow the surface of water sees the ou...
Text Solution
|
A ray of light is incident normally normallyh on one of the faces of a...
Text Solution
|
A light ray is incident normally on the face AB of a right-angled pris...
Text Solution
|
On heating a liquid, the refractive index generally
Text Solution
|
If hat(i) denotes a unit vector along incident light ray, hat( r) a un...
Text Solution
|
The fine powder of a coloured glass is seen as
Text Solution
|
A circular disc of which 2//3 part is coated with yellow and 1//3 part...
Text Solution
|
Light enters at an angle of incidence in a transparent rod of refracti...
Text Solution
|
A glass prism (mu = 1.5) is dipped in water (mu = 4//3) as shown in fi...
Text Solution
|
An isosceles prism of angle 120^(@) has a refractive index of 1.44. Tw...
Text Solution
|
When light is incident on a medium at angle i and refracted into a sec...
Text Solution
|
Immixable transparent liquids A,B,C,D and E are placed in a rectangula...
Text Solution
|