An electron is in an angular momentum state with I = 3. What is the length of the electron's angular momentum vector?
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- How many electrons can occupy the system with l=0, l=2 and l=4. What is number of possibleorientations of the orbital angular momentum with l=4? What is the smallest z-component of theorbital angular momentum?What is the frequency of light emitted from a hydrogen atom that makes a transition from the the n = 7 state to the n= 2 state (in Hz)?Consider the atom having the electron configuration 1s2 2s2 2p6 3s2. Assume that the z components of both the orbital abd spin angular momenta of the electron in the 3p subshell are positive. What are the quantum numbers that describe the state of this electron. n=3 l=1 m=-1 s=1/2n=3 l=1 m=2 s=1/2n=3 l=2 m=1 s=1/2n=3 l=1 m=1 s=1/2n=3 l=2 m=2 s=-1/2 Can we say which one is correct?
- Calculate the number of angles that L can make with the z-axis for an l=3 electron.(a) What is the magnitude of the orbital angular momentum in a state with e = 2? (b) What is the magnitude of its largest projection on an imposed axis? (a) Number 2.50998008 Units J.s (b) Number 2.11 Units J.sAn electron occupying the n = 6 shell of an atom carries z-component orbital angular momentum = (–2) × h/2π. Given that the electron’s total orbital angular momentum is x × h/2π, what is the minimum possible value of number x(remember to use the scientific notation)?
- Given: M = 2.25 +- 0.021 rad/s R = 0.180 +- 0.003 m w = 17.5 +- 0.25 rad/s Find the angular momentum L with its uncertaintyQ.10 A. Show that the maximum angular quantum number of a diatomic rigid rotor is given by Jmax KT 2hcB 1 12Consider a two-electron spin system in a singlet state. a. If a measurement of one of the electrons shows that it is in a state with sz = 1/2, what is the probability of obtaining another state with sz= +1/2? b. If a measurement of one of the electrons shows that it is in a state with sx = 1/2, what is the probability of obtaining another state with sy = +1/2?