(6-8)   We are supposing, here, that the probability density is the same at all positions within the box, of length L. 

①  First, recalling that the probability that the particle would be found somewhere within the length of the box must equal 1 (because it can't be anywhere else), use a simple proportionality argument to calculate what the probability would be of finding it at an x-coordinate between 0.09L and 0.11L.


②  Now let's see if we can use the general method which we learned in Chapter 5, to get the same result. Recall that if the probability density function is F(x), the probability that the particle will be found between x1 and x2 is given by:  

In this simplified scenario, the probability density function will be a constant. Use a normalisation argument to find the value of the constant.


③  Now use equation V-4 (above) to find the probability that the particle will be found between 0.09L and 0.11L.