In this problem we consider a standard harmonic oscillator with hamiltonian н the energy levels given by en hw(n and the 2m eigenstates denoted by n) 11 pts] assume first that the system is in the state |2). what is the probability distribution of the coordinate of the system? to calculate this use а. the wave function of the first excited state given by 2mw тw mw b(x) 2h -те and creation operators. sketch the shape of the probability distribution b. [11 ptsl assume the system is in the ground state |0).what is the proba- bility distribution of the momentum? you can either use the wave function in coordinate representation derived in class or write the creation and annihila- tion operators in momentum representation (ie. express the coordinate operator derivative of momentum such that the canonical commutation relation is as a satisfied) and then solve a first order differential equation for the momentum representation of the wave function 12) 13 pts assume now that the system is in the state will be the state of the system at a later time t? what is the expectation value of 2 at time t = t/w? what c.

If forces acting on an object are unbalanced. true or false

Achlorine atom has 17 protons and 18 neutrons. what is its mass number? what is its atomic number?

Need asap which of these is an example of a hypothesis? (2 points) a. adults were not interviewed b. the investigation was time consuming c. the source of information was biased d. very few teenagers were interviewed scientists in different parts of the world have conducted experiments to find the speed of light in vacuum. if the results of the experiments are identical, they would most likely be (2 points) a.valid b. biased c. unreliable d. non-observable which of these questions can be answered using science? (2 points) a. what is the best career? b. does water exist on venus? c. should the use of automobiles be stopped? d. which is the most interesting subject to study? the models can be best used to (2 points) recreate something which is easily observed in nature prove that all atomic theories have the same meaning demonstrate the transformation of atomic theory into law represent the locations of subatomic particles in different atomic theories 22. (bws.06) scientists earlier believed that the lowest measurable temperature is the freezing point of ice. however, modern scientists believe that temperatures below the freezing point of ice can also exist. what best accounts for these different opinions? (2 points) scientists propose contradictory ideas to include all possibilities scientists come up with different hypotheses without enough evidence scientists propose different ideas to avoid repetition of scientific knowledge scientists having different interests may interpret the same data in different ways based on the graph, what is the most likely mass of an apple chosen randomly from the basket? (2 points) between 0.10 kg and 0.12 kg between 0.12 kg and 0.14 kg between 0.14 kg and 0.16 kg between 0.16 kg and 0.18 kg a scientist studies a model of a widely accepted theory about the position of planets and sun. the model would most likely the scientist to (2 points) prove that the theory would not change in the future demonstrate how the theory can be changed into a law understand facts which cannot be easily observed prove that all other facts about the universe are incorrect one scientist discovered a new theory on the evolution of the universe. what is the next step for the scientist to take? (2 points) transform the results of the theory into universal laws of nature inform the scientific community so they can verify the results call a press conference to make the discovery popular among people encourage scientists worldwide to find an appropriate application for the results the students' observations are listed below. when an iron nail is taken near the north pole (n) of the bar magnet, it is pulled towards the magnet. when an iron nail is taken near the south pole (s) of the bar magnet, it is pulled towards the magnet. the experiment was repeated by several students using different bar magnets. based on the investigations, which of these theories would the students most likely propose? (2 points) magnets attract iron nails the poles of a magnet attract all materials iron nails are attracted towards all materials iron nails have the same properties as magnets