If a ray of light is incident on a reflecting medium at the polarising angle, prove that the reflected and the refracted rays are at 90^(@) to each other.

In which direction an equimolar mixture of two enatiomers rotate the plane polarised light?

A ray of lilght is incident at a small angle theta on a rectangular glass slab of thickness t. IF the refractive index of glass is mu show that the perpendicular distance between the emergent ray from the slab and the incident ray is theta t (mu-1)//mu

Two long parallel wires carrying current 2.5 ampere and 1 ampere in the same direction (directed into the plane of the paper) are held at P and Q respectively, such that they are perpendicular to the plane of the paper. The point P and Q are located at a distance of 5 metres and 2 metres respectively from collinear point R as shown below. (ii) Find all the positions at which a third long parallel wires carrying of magnitude 2.5 ampere may be placed, so that the magnetic induction at R be zero

Two long parallel wires carrying current 2.5 ampere and I ampere in the same direction (directed into the plane of the paper) are held at P and Q respectively, such that they are perpendicular to the plane of the paper. The point P and Q are located at a distance of 5 metres and 2 metres respectively from collinear point R as shown below. (i) an electron moving with velocity 4xx10^5m/s along positive X direction experiences a force of magnitude 3.2xx10^(-20)N at the point R. Find the value of I.

(i) Explain total internal reflection from law of refraction. (ii) A ray of light is incident at a small angle theta on a rectangular glass slab of thickness t. If the refractive index of glass is mu . Show that the perpendicular distance between the emergent ray from the slab and the incident ray is t theta(mu - 1) // mu .

A beam of monochromatic parallel rays is incident normally on a narrow slit. A diffraction fringe pattern is formed on a screen, placed normally to the incident rays. Find the phase difference between two rays coming from two ends of the slit at the first minimum formed in the diffraction fringe.

A right angled prism is immersed in water. When a ray of light is incident normally on a side adjacent to the right angle, the ray is totally reflected from the face opposite to the right angle and emerges through the other adjacent side of the right angle. But if the ray is incident normally on the face opposite to the right angle and no internal reflection takes place. If the other two angles of the prism are 60^(@) and 30^(@) respectively what is the range of the value of the refractive index of the material of the prism? Refractive index of water in vacuum = 1.33