A group of students carry out an experiment to investigate how quantity P depends on quantity Q - Scottish Highers Physics - Question 24 - 2023
Question 24
A group of students carry out an experiment to investigate how quantity P depends on quantity Q.
The results of the experiment are plotted on the graph shown.
A ph... show full transcript
Worked Solution & Example Answer:A group of students carry out an experiment to investigate how quantity P depends on quantity Q - Scottish Highers Physics - Question 24 - 2023
Step 1
I The line of best fit passes through the origin.
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Answer
This statement can be evaluated by observing the graph. For the line representing direct proportionality, it is expected to pass through the origin (0,0) if the relationship holds true for all plotted points. Given the data points and their alignment, this statement is likely false.
Step 2
II The line of best fit does not pass through the origin.
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Answer
This statement contradicts the first. Based on the graph, if the best fit line does not intersect the origin, this would suggest that the relationship is not a perfect direct proportionality. This statement appears to be true.
Step 3
III The line of best fit suggests the measurements have been affected by a systematic uncertainty.
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Systematic uncertainty can manifest as a consistent offset in measurements. If the plotted points exhibit a trend that does not align neatly to a line through the origin, it indicates such uncertainty. The spread of the points around the best fit line could imply systematic error, thus this statement is also true.
Step 4
Conclusion on Statements
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Answer
Given the evaluations, statements II and III are correct while statement I is incorrect. Therefore, the correct choice from the options provided is E: I and III only.
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