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Four stars of equal size emit the same amount of energy. The distance of these stars from Earth is shown in the table below.

\begin{tabular}{|c|c|}
\hline
Star & Distance from Earth (light years) \\
\hline
[tex]$P$[/tex] & 2.3 \\
\hline
[tex]$Q$[/tex] & 7.8 \\
\hline
[tex]$R$[/tex] & 6.5 \\
\hline
[tex]$S$[/tex] & 3.2 \\
\hline
\end{tabular}

What is the order of apparent magnitude of the stars, starting from the least to the greatest?

A. Q, R, S, P

B. [tex]$P, S, R, Q$[/tex]

C. [tex]$R, S, P, Q$[/tex]

D. Q, P, S, R



Answer :

GinnyAnswer
To determine the order of apparent magnitude of the stars from least to greatest distance (which corresponds to the brightest to the dimmest apparent magnitude), we need to sort the stars based on their distances from Earth.

Here are the given distances for each star:

- Star [tex]\( P \)[/tex]: 2.3 light years
- Star [tex]\( Q \)[/tex]: 7.8 light years
- Star [tex]\( R \)[/tex]: 6.5 light years
- Star [tex]\( S \)[/tex]: 3.2 light years

Next, we arrange these stars in ascending order of their distances:

1. Star [tex]\( P \)[/tex]: 2.3 light years
2. Star [tex]\( S \)[/tex]: 3.2 light years
3. Star [tex]\( R \)[/tex]: 6.5 light years
4. Star [tex]\( Q \)[/tex]: 7.8 light years

Thus, the order of apparent magnitude of the stars, starting from the least to the greatest distance (or equivalently from the brightest to the dimmest) is:

[tex]\[ P, S, R, Q \][/tex]

So, the correct answer is:
[tex]\[ P, S, R, Q \][/tex]

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