This is my report on an experiment that I have done and I really needed the latex codes to generate the equations. I have done the other parts of the report on other PC.
Do they seem to be ok? (the errors, like the max possible value and min possible value)
no help is really needed, rather I want to know what you think of it, any where I can improve or anything I should drop (unnecesary things)
Thank you!
for
This indicates that the apprxmiate wavelength is
with a error margin of
now to find the spacing between the ball bearings we can use the first angle and
to find the other angles.
Now we can find values for other angles that correspond to this equation.
for
for
there is no
as the equation makes no scence and there is no value for
grater than
Now we come to the errors that were involved in this experiment!
The wavelength was within a error range of
.
the angle was read to the nearest degree so it was really
which then makes the d value lower and higher.
For example the maximum d is when angle was
Now we get the new
which is
The minimum value obtainable from these sets of result are as followed.
which is
For
the angle was
which could have been altered such that maximum is
which is about
and the minimum value could have been
in which the angle is about
This just repeats untill the last value of reflection angle.
I will show that the last angle would still exist even with the big error probability.
For Max
the
which results
which is
and for Min the angle is
which happens to be about
So infact the errors did not have a huge impact on the resultst that we were really intrested (which is to find how many ball bearings there is!) but if we were to have a diffrent aim those errors would have made it really hard (for example if we wanted to see what exactly the crystall looks like)
