Testing Physics gre question: checking relationships with graphs

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In the discussion, the focus is on the appropriate graph type for plotting the relationship between variables in laboratory experiments. The question highlights three graph types: linear, semilog, and log-log. The consensus is that a log-log plot is best for the given relationship, but there is confusion regarding the linear graph's applicability. It is clarified that plotting V(out)/V(in) against 1/w could yield a linear graph if V(out)/V(in) is proportional to 1/w. However, the key point is that the relationship being analyzed is gain versus frequency (ω), not 1/ω, which affects the choice of graph type. This distinction is crucial for accurately representing the data and understanding the underlying relationship.
Aziza
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question: "In laboratory experiments, graphs are employed to determine how one measured variable depends on another. These graphs generally fall into three categories: linear, semilog (logarithmic vs linear), and log-log. Which type of graph listed in the third column below would NOT be the best for plotting data to test the relationship given in the first and second columns?"

http://www.physicsgrad.com/sites/img/pgre/9677-27p.png
The answer is D...it says a log-log plot should be used. But why wouldn't linear also work? If I plot V(out)/V(in) versus 1/w, that should be a linear graph if V(out)/V(in) is proportional to 1/w...?
 
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Aziza said:
If I plot V(out)/V(in) versus 1/w, that should be a linear graph if V(out)/V(in) is proportional to 1/w...?
You're plotting gain vs frequency (ω), not 1/ω.
 
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