Reflection and Refraction of Plane Wave at Plane Surface Using Huygens' Principle - Reflection of a Plane Wave by a Plane Surface

With the help of a diagram, show how a plane wave is reflected from a surface. Hence, verify the law of reflection.

Light of wavelength 5000 Å falls on a plane reflecting surface. What are the wavelength and frequency of the reflected light? For what angle of incidence is the reflected ray normal to the incident ray?

A cylindrical vessel of diameter 12 cm contains 800π cm³ of water. A cylindrical glass piece of diameter 8.0 cm and height 8.0 cm is placed in the vessel. If the bottom of the vessel under the glass piece is seen by the paraxial rays, locate its image from bottom. The index of refraction of glass is 1.50 and that of water is 1.33.

All the surfaces are frictionless. Strings are light and frictionless. The tension in string 1 is ______ N. (Take g = 10 m/s²)

An object O is placed at a distance of 20 cm from a thin plano-convex lens of a focal length of 15 cm. The place surface of the lens is silvered as shown in the figure. The image is formed at a distance of ______.

The propagation of light is best described by ______.

An air bubble in glass slab (µ = 1.5) when viewed from one side, appears to be at 6 cm and from opposite side 4 cm. The thickness of glass slab is ______.

The mirror of length 2l makes 10 revolutions per minute about the axis crossing its mid-point O and perpendicular to the plane of the figure There is a light source in point A and an observer at point B of the circle of radius R drawn around centre O (∠AOB = 90°) What is the proportion `"R"/ℓ` if the observer B first sees the light source when the angle of mirror ψ = 15°?