Consider the case of a 3-dimensional particle-in-a-box. Given: 4 = 3πχ sin sin () sin пу (2πz) 1.5 What is the size of the box along the x-dimension? O 2 O 3 O 5 none are correct
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- What is y(x) given that d²y dx² +4e-2x = 0 where you have the boundary conditions: dy dx y = yo (a constant) at You have to integrate twice as this is a second order differential equation so you need two boundary conditions to get the complete solution. (Most people are better at differentiating then integrating so check your answer by differentiating it!) = q (a constant) at x = 0 x = 0Consider the following measurements of a mass and speed for an object using the formula determine the momentum uncertainty of the object. Express answer in g•m/s The velocity of a proton in an accelerator is known to an accuracy of 0.250% of the speed of light. What is the smallest possible uncertainty in its position in meters?
- We can finally calculate the uncertainty in the axial distance using the relation where o, is the uncertainty in r. Find the uncertainty in the axial distance of the particle's location.If | jm > is an eigenstate of 1², then its eigenvalue is j(j+1)ħ², Z True FalseSuppose Fuzzy, a quantum-mechanical duck, lives in a world in which h = 2 J s. Fuzzy has a mass of 1.90 kg and is initially known to be within a pond 1.00 m wide. (a) What is the minimum uncertainty in the duck's speed? m/s (b) Assuming this uncertainty in speed to prevail for 4.90 s, determine the uncertainty in Fuzzy's position after this time. m