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Lab Methods}Log Graphs


Log graphs are good for exponential-related phenomenon. Thus (A), (C), and (E) are appropriate, thus eliminated. The stopping potential has a linear relation to the frequency, and thus choice (B) is eliminated. The remaining choice is (D).

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Comments
keenanman
2007-10-16 12:38:05
In choice D, the graph gain vs 1/frequency is linear. The graph gain vs frequency is hyperbolic. NEC
eshaghoulian
2007-10-02 04:11:09
Just to add a little bit as to why log graphs are good for exponential related phenomena, note that a power law in log-log coordinates is a line:

y=ax^m \Rightarrow log(y) = log(ax^m) = mlog(ax) = mlog(x)+ mlog(a) \Rightarrow log(y) = mlog(x) + mlog(a)which is of the form y = mx+b (since mlog(a) is just a constant (like b) and we identify y with log(y) and x with log(x), as these are our new axes in log-log coordinates). So the exponent in the power law becomes the slope in log-log coordinates. Testing this is a GRE favorite, as it is a major tool in experimental physics.
NEC

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