Homework Statement
What is the probability, P, of locating a particle between x = 0 (the left-hand end of
a box) and x = 0.2 nm in its lowest energy state in a box of length 1.0 nm?
Homework Equations
Probability = ∫ψ2dx
ψ = (2/L)1/2sin(n∏x)
The Attempt at a Solution
ψ2 =...
Homework Statement
Write down the v=1 eigenfunction for the harmonic oscillator. Substitute this eigenfunction into the Schrodinger equation and show that the eigenvalue is (3/2)hν.
Homework Equations
The Attempt at a Solution
I'm not really sure on how to to this, but heres...
Homework Statement
Consider ψ (x) for a particle in a box:
ψn(x) = (2/L)1/2sin(n∏x/L)
Calculate the probability of finding the particle in the middle half of the box (i.e., L/4 ≤ x ≤ 3L/4). Also, using this solution show that as ''n'' goes to infinity you get the classical solution of...
Not sure if correct but heres what I did to find the concentration.
5.49 ppm = 5.49 micrograms/mL = 0.00549 grams/L
0.00549 grams/L /(55.845 grams/mole) = 0.000106 M
0.000106 M * 5 mL / 50 mL = 0.0000106 M
EDIT : Also I just realized that the molar absorptivity of FeSCN is not given in the...
Homework Statement
2. A 5.00 mL aliquot of a solution that contains 5.94 ppm iron (III) is treated with an appropriate excess of KSCN and is diluted to 50.0 mL.What is the absorbance of the resulting solution at 580 nm in 2.50-cm cell?
Homework Equations
The Attempt at a Solution...
Homework Statement
Use Green's Theorem to evaluate the line integral of the vector field F along the given positively oriented curve C.
F(x,y) = <sin(x^3) +x^2(y), 3xy-(x)(y^2)+e^(y^2)> and C is the boundary of the region enclosed by the semicircle y = √(4-x^2) and the x-axis.
Homework...
Homework Statement
F(x,y,z) = <2xy + ze^xz, x^2 +ze^yz, xe^xz + ye^yz + 2z>
Homework Equations
The Attempt at a Solutionf
I know how to find the partial of F(x,y) but I don't know how to do it for F(x,y,z). How do I do this?
Honestly, I have no idea what to do, but here what I did.
From (0,0) to (2,1)
r(t) = (1-t)<0,0> + t<2,1>
r(t) = <2t,t>
x=2t
y=t
I found that the integral is from 0 to 1.
dx/dt = 2
dy/dt = 1
∫(x+2y)dx+(x^2)dy
Then I set x as 2t and y as t into the equation...
Homework Statement
Evaluate the line integral ∫(x+2y)dx+(x^2)dy, where C consists of the line segments from (0,0) to (2,1) and (2,1) to (3,0)
Homework Equations
The Attempt at a Solution
I'm unsure of what to do. I did (1-t)r0 + t(r1) for (0,0) to (2,1) and (2,1) to (3,0). I...