In figure shown, a ray of light is incident at 50^∘ on the middle of one of a pair of mirrors ar

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In figure shown, a ray of light is incident at 50^∘ on the...

In figure shown, a ray of light is incident at $50^{\circ}$ on the middle of one of a pair of mirrors arranged at $60^{\circ}$ : (i) Calculate the image at which the ray is incident on the second mirror (ii) Calculate the angle at which the ray is incident on the first mirror after being reflected from the second mirror. (a) (i) $45^{\circ}$ (b) (i) $30^{\circ}$ (ii) $10^{\circ}$ (ii) $45^{\circ}$ (c) (i) $10^{\circ}$ (d) (i) $20^{\circ}$ (ii) $70^{\circ}$ (ii) $50^{\circ}$

In figure shown, a ray of light is incident at $50^{\circ}$ on the middle of one of a pair of mirrors arranged at $60^{\circ}$ :
(i) Calculate the image at which the ray is incident on the second mirror
(ii) Calculate the angle at which the ray is incident on the first mirror after being reflected from the second mirror.
(a) (i) $45^{\circ}$
(b) (i) $30^{\circ}$
(ii) $10^{\circ}$
(ii) $45^{\circ}$
(c) (i) $10^{\circ}$
(d) (i) $20^{\circ}$
(ii) $70^{\circ}$
(ii) $50^{\circ}$

Key Concepts

Multiple Reflections

When light encounters more than one reflective surface, it undergoes multiple reflections. The analysis of such scenarios requires sequential application of the law of reflection and geometric reasoning to track the light's trajectory through successive interactions with the mirrors.

Law of Reflection

This principle states that when a light ray strikes a reflective surface, the angle of incidence (the angle between the incoming ray and the normal to the surface) is equal to the angle of reflection (the angle between the reflected ray and the normal). It is fundamental for predicting the path of light rays in optical systems involving mirrors.

Image Formation in Plane Mirrors

Plane mirrors create virtual images that appear to be the same distance behind the mirror as the object is in front. Understanding how images are formed in such mirrors is crucial for analyzing how light rays reflect off surfaces and how subsequent images interact with each other in configurations with multiple mirrors.

Geometry of Mirror Arrangements

Analyzing the geometric relationships between mirrors—especially when they are oriented at specific angles to one another—is essential for determining the direction of reflected rays. This involves applying basic geometric and trigonometric principles to the paths of incident and reflected rays.

Transcript

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