A point source S is centred infront of a 70 cm wide plane mirror. A man starts walking from the

step 1 Hello and welcome to this video solution of Numerid. A point source is centered in front of a 70

A point source S is centred infront of a 70 cm wide plane...

A point source $S$ is centred infront of a $70 \mathrm{~cm}$ wide plane mirror. A man starts walking from the source along a line parallel to the mirror. The maximum distance that can be walked by man without losing sight of the image of source is: (a) $80 \mathrm{~cm}$ (b) $60 \mathrm{~cm}$ (c) $70 \mathrm{~cm}$ (d) $90 \mathrm{~cm}$

A point source $S$ is centred infront of a $70 \mathrm{~cm}$ wide plane mirror. A man starts walking from the source along a line parallel to the mirror. The maximum distance that can be walked by man without losing sight of the image of source is:
(a) $80 \mathrm{~cm}$
(b) $60 \mathrm{~cm}$
(c) $70 \mathrm{~cm}$
(d) $90 \mathrm{~cm}$

Key Concepts

Geometric Optics

Geometric optics involves analyzing light propagation as rays. This approach simplifies the study of image formation, reflection, and the effects of limiting factors such as mirror size on visibility. It provides the framework for solving problems involving angles, distances, and the positioning of objects relative to reflective surfaces.

Image Formation in Plane Mirrors

In a plane mirror, an image is formed that is laterally inverted and appears to be the same size as the object. The virtual image is located at the same perpendicular distance behind the mirror as the object is in front, which is essential for understanding the positioning and movement necessary to see the object’s image continuously.

Plane Mirror Reflection

This concept refers to the way light behaves when it strikes a flat reflective surface. The law of reflection applies, meaning the angle of incidence equals the angle of reflection. This property creates a virtual image that appears to be located behind the mirror at an equal distance to that of the object in front of it.

Field of View in Mirrors

The field of view in a mirror depends on the observer’s position and the size of the mirror. If the mirror is of limited dimensions, only part of the reflected scene will be visible from a given position. This concept is important when determining the range of positions or distances from which an observer can still see a specific image in the mirror.

Transcript

Please give Ace some feedback