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Engineering Physics · Q4

Quantum Mechanics

Engineering and GATE · Engineering Physics · question 4

Q4

An electron is in a statewith spin wavefunction \[ _s = [ array*20c 3 2 \\ 1/2 array ]\] in the sz representation. What is the probability of, finding the z-component of its spin along the - Z direction?

An electron is in a statewith spin wavefunction {\phi _s} = \left[ {\begin{array}{*{20}{c}} {\frac{{\sqrt 3 }}{2}} \\ {\frac{1}{2}} \end{array}} \right]  in the sz representation. What is the probability of, finding the z-component of its spin along the  direction?
A.
0.75
B.
0.50
C.
0.35
D.
0.25
Answer

Answer: Option D

Solution

Answer: Option D
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