Physics gre question: checking relationships with graphs

In summary, laboratory experiments use graphs to determine the relationship between two measured variables. There are three types of graphs commonly used: linear, semilog, and log-log. The best type of graph to use depends on the relationship being tested. In this case, a log-log plot would be the most suitable, as indicated by the third column in the provided image. Linear plots may also work, but in this specific case, a log-log plot would be more appropriate.
  • #1
Aziza
190
1
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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  • #2
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.
 

What is the purpose of checking relationships with graphs in physics?

Graphs are essential tools in physics that allow us to visualize and analyze relationships between different variables. By plotting data points on a graph, we can easily identify patterns and trends, and determine the nature of the relationship between the variables. This helps us to better understand and explain physical phenomena.

What types of relationships can be shown using graphs in physics?

Graphs can be used to show a variety of relationships, including direct proportionality, inverse proportionality, exponential growth or decay, and periodicity. Additionally, graphs can also be used to compare experimental data with theoretical predictions, helping to validate or refine existing theories.

How can we determine the slope of a line on a graph?

The slope of a line on a graph represents the rate of change between two variables. It can be calculated by dividing the change in the y-axis values by the change in the x-axis values. In other words, the slope is equal to the rise (vertical change) over the run (horizontal change). This can also be expressed as the change in the dependent variable over the change in the independent variable.

What is the significance of the intercepts on a graph?

The x-intercept on a graph represents the value of the independent variable at which the dependent variable is equal to zero. Similarly, the y-intercept represents the value of the dependent variable when the independent variable is equal to zero. These intercepts can provide important information about the relationship between the variables, such as the starting point or the point of intersection.

How can we use graphs to analyze data and make predictions in physics?

Graphs allow us to analyze data visually and identify any patterns or trends that may exist. By extrapolating or interpolating on the graph, we can also make predictions about the behavior of the variables beyond the data points that have been collected. This can help us to make informed decisions and draw conclusions in physics experiments and research.

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