So, I have gotten back my first two exams at MIT. In Calculus, I got an 84 (74 average) and in Chemistry a 93! Apparently the "high eighties" are an A in math, but alas. I got 9 points off on this problem because I read it wrong and found the integral of something much more complicated than the actual question
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5. Consider the 1s and 2s orbitals in a H atom.
At r = a0 the values for the wavefunctions are:
ψ1s a0 ( ,θ ,φ ) = 5.394 × 10^−4pm− 3/2
ψ 2s a0 ( ,θ ,φ ) = 1.572 × 10^−4pm− 3/2
a) (4 points) Calculate the probability of finding an electron in a 2s orbital in H in a cube
with volume 1.00x10^15 pm3 that is a distance a0 from the nucleus.
We are also doing radial probability distributions of electrons and such.
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Sounds like you are doing well for a first exam period. Some people don't fare as well on their first exams. You'll get better at them!
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