I have a Lab Report on Centripetal Force

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To analyze centripetal force in a lab report, replace the force variable F with y and the term 1/T² with x in the equation, resulting in the format y = something * x. The slope of this linear relationship represents a key parameter of the centripetal force. The units of the slope need to be determined based on the variables involved. Understanding these transformations is crucial for accurately interpreting the results of the experiment. Properly defining the slope and its units will enhance the clarity of the lab report.
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Homework Statement
I am writing up a lab report on Centripetal force. One thing I have to do is graph Force vs 1/(Period squared). What would be the unit of the slope of this graph?
Relevant Equations
The force is in Newtons and the Period is in seconds.
scatter-plot (5).png
 
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Take the equation that you are plotting.
Replace ##F## with ##y##,
Replace ##\dfrac{1}{T^2}## with ##x##.
It should now look like ##y=\text{something}*x##. The slope is something. What are its units?
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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