When a light ray enters refracting medium, it is found that the magnitude of the angle of refraction is equal to half the angle of reflection. If n is the refractive index of the medium, then the angle of incidence is :

A ray of light is incident on the surface of separation of a medium at an angle 45° and is refracted in the medium at an angle 30°, What will be the velocity of light in the medium ?

A ray of light passes through four transparent media with refractive indices μ1, μ2, μ3 and μ4 as shown in the given figure.
The surfaces of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, we must have :

If the lower half of a concave mirror’s reflecting surface is made opaque, which of the following statements describe the image of an object placed in-front of the mirror

S1 : Intensity of the image will increase.
S2 : The image will show only half of the object.
S3 : No change in the image.
S4 : Intensity of the image will be reduced to half.

A rectangular tank of depth 8 meter is full of water (μ = 4/3), the bottom is seen at the depth

A beam of light is converging towards a point I on a screen. A plane glass plate whose thickness in the direction of the beam = t, refractive index = μ, is introduced in the path of the beam. The convergence point is shifted by

A vessel is half filled with a liquid of refractive index μ. The other half of the vessel is filled with an immiscible liquid of refractive index 1.5μ. The apparent depth of vessel is 50% of the actual depth. The value of μ is

In the figure shown the angle made by the light ray with the normal in the medium of refractive index √2 is :

When the rectangular metal tank is filled to the top with an unknown liquid, as observer with eyes level with the top of the tank can just see the corner E; a ray that refracts towards the observer at the top surface of the liquid is shown. The refractive index of the liquid will be nearly :

The image of point P when viewed from top of the slabs will be :