Question

the angle between incident ray and reflected ray is 100 degree what is the value of angle of incidence?​

Answer 1

Answer:

Hint: In this question, we need to determine the angle between the incident ray and the reflected ray. A normal line divides the angle between the incident ray and the reflected ray. These are divided into two equal angles. This implies that both the angles formed are equal.

Complete step by step answer:

According to the law of reflection,the angle of incidence is equal to the angle of reflection.the given example, the angle of incidence is 50o.Therefore, the angle of reflection will also be 50o.We can write this as,

The angle of incidence = the angle of reflection = 50o.

Now, we need to find out the angle between the incident ray and the reflected ray.Let θ

be the angle between the incident ray and the reflected ray.By observing the figure below, we can conclude that the sum of the angle of incidence and the angle of reflection equal to the measure of the angle between the incident ray and the reflected ray.

The angle between the incident ray and the reflected ray = the angle of incidence + the angle of reflection.

θ=50o+50o∴θ=100o

Therefore, the angle between the incident ray and the reflected ray is 100o.

So, option C is the correct answer.

Note:Students get confused instead of calculating the angle between the incident ray and the reflected ray, they calculate the answer for the angle between the reflected ray and the normal. The angle between normal and the incident ray is called the angle of incidence. Similarly, the angle between the normal and the reflected ray is called the angle of reflection.

Answer 2

The value of angle of incidence is equal to 50°.

• We know that the incident ray, the reflected ray and the normal meet at a point on the reflecting surface. The angle that exists between the incident ray and the normal at the surface of incidence is called the angle of incidence and the angle that exists between the reflected ray and the normal at the surface is called the angle of reflection.
• This means that the angle of incidence is equal to the angle of reflection.

Here, according to the given information, we are given that,

The angle between incident ray and reflected ray is 100 degrees.

This means that,

The sum of the angle of incidence and the angle of reflection is equal to 100 degrees.

This means that, each angle is equal to $\frac{100}{2}$ degrees, which is 50°.

Hence,  the value of angle of incidence is equal to 50°.

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