At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Juan created a chart to help him study for a test.

\begin{tabular}{|l|l|}
\hline
\multicolumn{1}{|c|}{[tex]$X$[/tex]} & \multicolumn{1}{|c|}{[tex]$Y$[/tex]} \\
\hline
some light is reflected & some light is refracted \\
some light is absorbed & \\
no light passes through & \\
\hline
\end{tabular}

Which headings best complete the chart?

A. [tex]$X$[/tex]: Transparent Objects, [tex]$Y$[/tex]: Opaque Objects

B. [tex]$X$[/tex]: Opaque Objects, [tex]$Y$[/tex]: Transparent Objects

C. [tex]$X$[/tex]: High Frequency Waves, [tex]$Y$[/tex]: Low Frequency Waves

D. [tex]$X$[/tex]: Low Frequency Waves, [tex]$Y$[/tex]: High Frequency Waves

Sagot :

To determine the appropriate headings that fit the chart, we need to look at the characteristics described in each column. Let's analyze the properties mentioned:

In the first column under heading [tex]\(X\)[/tex]:
- Some light is reflected
- Some light is absorbed
- No light passes through

In the second column:
- Some light is refracted

Given these properties, we need to match them with the appropriate headings.

1. X: Transparent Objects
Transparent objects allow light to pass through. They often refract (bend) light but allow it to pass to the other side. The property "some light is refracted" clearly matches transparent objects. However, the properties in the first column do not fit well with transparent objects because for transparent objects, some light should pass through rather than being absorbed or reflected.

2. Y: Opaque Objects
Opaque objects do not allow light to pass through. They can either absorb light or reflect it. The properties "some light is reflected," "some light is absorbed," and "no light passes through" align perfectly with opaque objects.

Given this analysis, it becomes clear that:
- Properties such as "some light is reflected," "some light is absorbed," and "no light passes through" describe opaque objects, which makes them suitable for heading [tex]\(Y\)[/tex].
- "Some light is refracted" describes transparent objects, which fits heading [tex]\(X\)[/tex].

Therefore, the best headings to complete the chart are:
[tex]\[ \boldsymbol{X : \text{Transparent Objects}} \][/tex]
[tex]\[ \boldsymbol{Y : \text{Opaque Objects}} \][/tex]

In the chart format, it would look like this:

\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{Transparent Objects} & Opaque Objects \\
\hline some light is reflected & some light is refracted \\
some light is absorbed & \\
no light passes through & \\
\hline
\end{tabular}

Conclusively,
[tex]\[ \boxed{X : \text{Transparent Objects}, \, Y : \text{Opaque Objects}} \][/tex]