A plane mirror lies horizontally

PHYSICS · Single correct · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction

Problem

A plane mirror lies horizontally. A light ray strikes it such that the angle between the ray and the mirror surface is

(5x-15)^{\circ}

. After reflection, the angle between the reflected ray and the mirror surface is

(2x+45)^{\circ}

. Find the value of

x

and the angle between the incident and the reflected rays. (a)

x = 20^{\circ},\ \text{angle} = 85^{\circ}

(b)

x = 9^{\circ},\ \text{angle} = 120^{\circ}

(c)

x = 20^{\circ},\ \text{angle} = 10^{\circ}

(d)

x = 20^{\circ},\ \text{angle} = 5^{\circ}