I Cant figure out what I am doing wrong here can I not use the model that the in
ID: 1964487 • Letter: I
Question
I Cant figure out what I am doing wrong here can I not use the model that the integral f sin^2(x) is = x/2 -sin(2x)/4 then can you not treat x there as (pi*n*x)/L and plug in the variables??An electron is trapped in a quantum dot. The quantum dot may be modeled as a one-dimensional, rigid-walled box of length 1.00 nm.
(a) Taking x = 0 as the left side of the box, calculate the probability of finding the electron between x1 = 0.135 nm and x2 = 0.315 nm for the n = 1 state.
(b) Repeat part (a) for the n = 2 state.
(c) Calculate the energies in electron volts of the n = 1 state.
eV
(d) Calculate the energies in electron volts of the n = 2 state.
eV
Explanation / Answer
No, you can not x there as (pi*n*x)/L and plug in the variables Because . Integral of Sinx is -Cosx and Integral of Sin (nx) is -Cos(nx)/n Integral will be divided by the constant .. So you just can not replace (x) by (nx). You also have to consider the constant in the integral part.
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