# Probability of finding a particle in an infinite well

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1. Sep 25, 2016

### Titan97

1. The problem statement, all variables and given/known data
For the particle in a box given in the above question, what is the probability of finding the electron between (i) x = 0.49 and 0.51, (ii) x = 0 and 0.020 and (ii) x=0.24 and 0.26 ( x in nm) for both n=1 and n=2. Rationalize your answers.

2. Relevant equations
$$\psi_n=\sqrt{\frac{2}{L}}\sin{\frac{n\pi}{L}x}$$

3. The attempt at a solution
Is the answer to each sub question $$\frac{2}{L}\int_{x_1}^{x_2}\sin^2{\frac{n\pi}{L}x}dx$$?

The trignometric values arent given. So is there anything that I am missing?

2. Sep 25, 2016

### kuruman

Yes it is. I assume you know the value of L.

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