Recent content by link2001

Try drawing a picture of the problem. Diagrams are your best friend in optics problems.

Well, if Tb > Ta then Rb > Ra. In other words, the text must have the wrong answer. (My result is the same as yours). Next time, try to do all of the algebric manipulations before punching the numbers into the calculator. There are a couple of good reasons for doing this: you are less likely...

data reduction is just the process of transforming data to a more usable form (binning, averaging, etc.). Here I think the numerical calculation part is due to the fact that 2.354 is only an approximation. The proof for the relationship between the FWHM and the std. dev. isn't overly...

Remember that the wavefunctions of an even potential are either fully even or fully odd, that should reduce the number of constants. Also to get the allowed energies for the potential (not for the allowed energy in one well) you need to solve a transcendental equation (one equation for even...

The solutions for both of these questions involve the thin lens equation. For (i) using the object distance and focal lenth will allow you to solve for the image distance. Then using a similar triangle argument you can show that the two heights are the same. For (ii), find the image distances...

well, fundamentally when you work backwards through the proof on your "scrap paper" to find a delta value is "cheating". Thankfully we don't concern our selves with this little problem, as long as the formal proof holds. As an example from math history, Gauss would pull extremely insightful...

I need to solve the following for f(s): (s^2 + 1)f '(s) + s f(s) = 0 First I isolated for f '(s), which gave me: f '(s) = -s f(s)/(s^2 + 1) Then, d f(s)/ds = -s f(s)/(s^2 + 1) so, d f(s) = (-s f(s)/(s^2 + 1))ds Integrating I get: f(s) = -F(s)ln(s^2 + 1)/2 + C, where F(s)...

the problem goes: ABCD is a parallelogram in which points P and Q are the midpoints of sides BC and CD, respectively. Use vector calculus to prove that AP and AQ trisect the diagonal BD at the points E and F. ...A _________B .../...F.../ .../...E.../P D/________/C ...Q (Imagine...