Suppose a particle has a wave function y(x) = Ne-ax 2 . Sketch the form of this wave function. Where is the particle most likely to be found? At what values of x is the probability of finding the...

Suppose a particle has a wave function y(x) = Ne-ax 2 . Sketch the form of this wave function. Where is the particle most likely to be found? At what values of x is the probability of finding the particle reduced by 50 per cent from its maximum value? The speed of a certain proton is 350 km s -1 . If the uncertainty in its momentum is 0.0100 per cent, what uncertainty in its location must be tolerated?