Question Video: Understanding How to Measure the Angle of Incidence | Nagwa Question Video: Understanding How to Measure the Angle of Incidence | Nagwa

Question Video: Understanding How to Measure the Angle of Incidence Science

The diagram shows how a protractor is used to measure the angles of incidence of two rays. Which color arrow shows the ray with the greater angle of incidence?

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Video Transcript

The diagram shows how a protractor is used to measure the angles of incidence of two rays. Which color arrow shows the ray with the greater angle of incidence?

Alright, so we have two different rays incident on a flat mirror. The mirror is represented by this solid vertical line. This question is asking about angles of incidence. So let’s recall that the angle of incidence is the angle between an incident ray and the line normal to the face of the mirror, where normal just means perpendicular. This horizontal dashed line then is normal to the mirror. So the angles of incidence are the angles that the arrows make with this line. We can use the protractor to measure these angles. And first thing, we should notice that the normal line is at the zero-degree mark on the outer scale of the protractor. This means that any angle we measure with respect to this zero mark will be measured with respect to the normal line, which makes our job fairly easy.

Let’s take a closer look at where the arrows meet this scale on the protractor. We’ll start with the red arrow. The red arrow is just slightly beyond this medium-sized line that’s directly between the marks of 30 degrees and 40 degrees. This medium-sized line then marks 35 degrees. Looking a little closer at the red arrow, we can see that it’s aligned with the first small line past the 35-degree mark. Each one of these small lines corresponds to one degree. And therefore, we know that the angle of incidence shown by the red arrow is 35 degrees plus one degree or 36 degrees.

Next, let’s look at the purple arrow. This arrow is just a little bit before this middle-sized line between the marks of 50 and 60 degrees. So it’s just before the 55-degree mark. More specifically, the purple arrow is one small line before the 55-degree mark. So we know that it shows an angle of incidence of 54 degrees. 54 degrees is greater than 36 degrees, so we’ve found that the purple arrow shows the ray with the greater angle of incidence.

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