Question

reflection and refraction practice
name:

1. a light ray hits a mirror at 40° to the normal. draw and label the reflected ray.

Explanation:

Step1: Recall the Law of Reflection

The Law of Reflection states that the angle of incidence ($\theta_i$) is equal to the angle of reflection ($\theta_r$), where the angle of incidence is the angle between the incident ray and the normal, and the angle of reflection is the angle between the reflected ray and the normal. Mathematically, $\theta_i=\theta_r$.

Step2: Determine the Angle of Reflection

Given that the incident ray hits the mirror at $40^\circ$ to the normal, so the angle of incidence $\theta_i = 40^\circ$. By the Law of Reflection, the angle of reflection $\theta_r=\theta_i = 40^\circ$.

Step3: Draw the Reflected Ray

1. Draw the normal (a perpendicular line to the mirror surface at the point of incidence).
2. The incident ray makes a $40^\circ$ angle with the normal.
3. Draw the reflected ray on the other side of the normal (with respect to the incident ray) such that the angle between the reflected ray and the normal is also $40^\circ$. Label the reflected ray and the angle of reflection as $40^\circ$.

Answer:

To draw the reflected ray:

1. Draw the normal (perpendicular to the mirror at the point where the light hits).
2. The incident ray is at $40^\circ$ to the normal.
3. Draw the reflected ray on the opposite side of the normal (from the incident ray) so that the angle between the reflected ray and the normal is also $40^\circ$ (by the Law of Reflection, $\theta_{\text{reflection}}=\theta_{\text{incidence}} = 40^\circ$). Label the reflected ray and its angle with the normal as $40^\circ$.