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Probability of finding a particle in an infinite well

  1. Sep 25, 2016 #1

    Titan97

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    Gold Member

    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. jcsd
  3. Sep 25, 2016 #2

    kuruman

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