An electron is trapped in a one-dimensional infinite potential well that is 100 pm wide, the electron is in its ground state. What is the probability that you can detect the electron in an interval of width `Deltar` 5.0 pm centered at x = (a) 25 pm, (b) 50 pm, and (c) 90 pm? (Hint: The interval `Deltar` is so narrow that you can take the probability density to be constant within it.)

Explanation

(a) 0.050, (b) 010, (c) 0.0095