A baseball (1 kg) has an energy of 100 joules. If its uncertainty in position ts 1 m, what is the percentage uncertainty (Delta p/p times 100)in the momentum of the baseball? The wave function psi(x) of a particle confined to 0 x L is given by psi(x) = Ax. psi(x) = 0 for x L. When the wave function is normalized, the probability density at coordinate x has the value Suppose we use optical radiation (lambda = 500 nm) to determine the position of the electron to within the wavelength of the light. What will be the resulting uncertainty in the electron's velocity? A particle of mass m is confined to a box of width L by infinite potential energy beamers The particle has a 30% chance of being found in the ground state, a 45% chance of being found in the first exited state, and a 25% chance of being found in the second exited state, (a) Construct a wave function that represents the particle. (b) What is the expectation value of the particles energy? (extra credit) A particle's wave function is given as Psi = A.exp(-a. x. x). Calculate the normalization constant A, the uncertainties in momentum Delta p, location Delta x and their product Delta p. Delta x. How does it compare with the minimum uncertainty allowed in Quantum Mechanics? If you cannot emirate the necessary integrals explain the steps that you would undertake to solve the problem. Due 12/3 by 1 pm. Fax to: (773) 838-7524 email to: tkodogeorgiou @ ccc.edu deliver to 3209