Prove that,

Question

Prove that,

KnowledgeBoat · Accepted Answer

Consider a point object O kept at the bottom of a transparent medium ( such as water or glass ) separated from air by the surface PQ. A ray of light OA, starting from the object O, is incident on the surface PQ normally, so it passes undeviated along the path AA'. Another ray OB, starting along the object O, strikes the boundary surface PQ at B and suffers refraction. Since, the ray travels from denser to rarer medium so it bends away from normal N'BN drawn at the point of incidence B on the surface PQ and travels along BC in air. When viewed by the eye , the ray BC appears to be coming from point I which is the virtual image of O, obtained on producing A'A and CB backwards. Thus, any point seen from air will appear to be at I, which is lesser depth = AI than its actual depth AO. Angle of incidence = ∠OBN' Angle of refraction = ∠CBN. Since, AO and BN’ are parallel and OB is transversal line, so ∠AOB = ∠OBN' = i Similarly, IA’ and BN are parallel and IC is the transversal line, so ∠BIA’ = ∠CBN = r In right-angle triangle BAO, and, In right-angle triangle IAB, For refraction from medium to air, by Snell’s law Hence, refractive index of medium with respect to air is, The object is viewed from a point vertically above the object O, since point B is very close to the point A. ∴ IB = IA and OB = OA Hence,

Physics

Prove that,

Refraction Plane Surfaces

Related Questions

How is the refractive index of a medium related to the real and apparent depths of an object in that medium?

An object placed in one medium when seen from the other medium, appears to be vertically shifted. Name two factors on which the magnitude of the shift depends and state how does it depend on them.

A tank of water is viewed normally from above.
(a) State how does the depth of tank appears to change.
(b) Draw a labelled ray diagram to explain your answer.

Water in a pond appears to be only three-quarters of its actual depth.
(a) What property of light is responsible for this observation? Illustrate your answer with the help of a ray diagram.
(b) How is the refractive index of water calculated from its real and apparent depths?

Physics

Prove that,

Refraction Plane Surfaces

Related Questions

How is the refractive index of a medium related to the real and apparent depths of an object in that medium?

An object placed in one medium when seen from the other medium, appears to be vertically shifted. Name two factors on which the magnitude of the shift depends and state how does it depend on them.

A tank of water is viewed normally from above.(a) State how does the depth of tank appears to change.(b) Draw a labelled ray diagram to explain your answer.

Water in a pond appears to be only three-quarters of its actual depth.(a) What property of light is responsible for this observation? Illustrate your answer with the help of a ray diagram.(b) How is the refractive index of water calculated from its real and apparent depths?

A tank of water is viewed normally from above.
(a) State how does the depth of tank appears to change.
(b) Draw a labelled ray diagram to explain your answer.

Water in a pond appears to be only three-quarters of its actual depth.
(a) What property of light is responsible for this observation? Illustrate your answer with the help of a ray diagram.
(b) How is the refractive index of water calculated from its real and apparent depths?