I need help calculating the average and average error e/m (charge-to-mass) of an

Question

I need help calculating the average and average error e/m (charge-to-mass) of an electron. i've given the infomration needed to calculate but dont know how to put it together. points will be awarded to written solution and 1500 extra points to the best answer. thank you.

original links---> http://tinypic.com/r/2i0dp34/8

chart link----> http://tinypic.com/r/10cj6kk/8

example link---> http://tinypic.com/r/3478ln6/8

formula link ( must use this to calculate) ---> http://tinypic.com/r/zy8qpe/8

Explanation / Answer

I think you have done the whole thing incorrectly. In the first picture that you have given, the last line says that the *only* error is in the measurement of the diameter. So, by that logic,

letting e/m =x

delta(x)/x= 2*delta(p)/p .

For the standard error in p, you have to look at the least count of the ruler that you were using.

For the average error, find the absolute average error in each of the 7 cases, i.e.

delta(x) = x*2*delta(p)/p

And then take the root mean square value of these values, i.e. using the last formula you have devised in the sample calculations.

And for the average value of the e/m ratio, you simply have to take the mean.

Let me know if anything is unclear.

Cheers,

Saurav

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