Expressing a wavelength equation in linear form; k must be determined via slope

AI Thread Summary
To express the wavelength equation in linear form, the variables l (wavelength) and T (period) must be plotted to derive k from the slope. The equation can be rearranged to show that (l^2)/T corresponds to the x-axis, while (f^2)*u represents the slope (m). The intercept (b) is zero, indicating a direct relationship without a constant offset. A straight line can be formed with the equation y = mx, where y cannot be k^2 since its value is unknown. The discussion emphasizes the need to clarify the correct variables for plotting to accurately determine k.
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Homework Statement


How should the variables ( l and T) be plotted to obtain k from the slope of a linear graph? Identify (write out) the constants correstponding to the slope and intercept of the linear graph.

Homework Equations


l = lambda

l = (k/f)*(T/u)^0.5





The Attempt at a Solution



k^2 = [ (f^2)*(u) ] * [ (l^2)/T ]

(l^2)/T = x

(f^2)* u = m

K^2 = mx + 0

b = 0
 
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For a plot you need pairs of points (x, y). So what are you going to plot on the x-axis and what on the y-axis? A straight line is of the form y = mx + b. What is your y? It can't be k2 because you don't know what it is.
 
lol, good point. I'll get back to you.
 
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