Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Geometrical Optics
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Geometrical Optics
A point source is located at a depth h beneath the surface of water...
A point source is located at a depth beneath the surface of water (refractive index ). Identify the shape of the area on the water surface through which light escapes, along with the position of its centre.
Options
- AA circular area with its centre directly above the point source
- BA rectangular area with its centre directly above the point source
- CA circular area whose centre is shifted horizontally by a distance
- DAn elliptical area with its centre directly above the point source
Correct answer
A. A circular area with its centre directly above the point source
Step-by-step solution
Light rays from the point source at depth will escape the water surface if their angle of incidence at the water-air interface is less than or equal to the critical angle .
The critical angle is given by .
By symmetry, the locus of all points on the surface where the angle of incidence is exactly is a circle.
The radius of this circle is .
Thus, the light escapes through a circular area on the water surface.
The centre of this circular area lies directly above the point source.
The critical angle is given by .
By symmetry, the locus of all points on the surface where the angle of incidence is exactly is a circle.
The radius of this circle is .
Thus, the light escapes through a circular area on the water surface.
The centre of this circular area lies directly above the point source.