A ray of light making an angle 10^o with the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the incident ray make an angle of $10^o$ with the horizontal. The reflected ray is vertical, meaning it makes an angle of $90^o$ with the hori

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) Let the incident ray make an angle of $10^o$ with the horizontal. The reflected ray is vertical, meaning it makes an angle of $90^o$ with the horizontal.The angle between the incident ray and the reflected ray is the total deviation $\delta$.Since the incident ray is $10^o$ below the horizontal and the reflected ray is $90^o$ above the horizontal, the angle between them is $\delta = 90^o + 10^o = 100^o$.The law of reflection states that the angle of deviation $\delta$ is related to the angle of incidence $i$ by $\delta = 180^o - 2i$.Therefore, $100^o = 180^o - 2i$, which gives $2i = 80^o$, or $i = 40^o$.The angle of incidence $i$ is the angle between the incident ray and the normal to the mirror.Let $	heta$ be the angle the mirror makes with the horizontal. The angle between the incident ray and the mirror surface is $i = 90^o - (	ext{angle between incident ray and mirror surface})$.From the geometry, the angle between the incident ray and the mirror surface is $	heta + 10^o$.Thus, the angle of incidence $i = 90^o - (	heta + 10^o)$.Substituting $i = 40^o$, we get $40^o = 90^o - 	heta - 10^o$.$40^o = 80^o - 	heta$, which implies $	heta = 40^o$.

$A$ ray of light making an angle $10^o$ with the horizontal is incident on a plane mirror making an angle $\theta$ with the horizontal. What should be the value of $\theta$ so that the reflected ray goes vertically upwards?

Similar Questions

$A$ light bulb is placed between two plane mirrors inclined at an angle of $60^{\circ}$. The number of images formed is:

$A$ plane mirror makes an angle of $30^\circ$ with the horizontal. $A$ vertical ray is incident on the mirror. What is the angle between the mirror and the reflected ray in degrees?

The light rays from an object are reflected by a standard plane mirror towards an observer. The image formed has the following characteristics:
$A$: Real
$B$: Erect
$C$: Magnified
$D$: Laterally inverted
Which of these characteristics are correct?

When a plane mirror is placed horizontally on a level ground at a distance of $60 \ m$ from the foot of a tower,the top of the tower and its image in the mirror subtend an angle of $90^\circ$ at the eye. The height of the tower will be.....$m$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module