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3. A particle of mass confined to move on a sphere of radius R is in the state (0, 0, t = 0) = N cos² (0) cos(). What is the probability of measuring the square of the total angular momentum magnitude to be 6ħ²? What is the probability that a measurement of the position of the particle finds 0 ≤ ≤ π/4₂
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Transcribed Image Text:3. A particle of mass confined to move on a sphere of radius R is in the state (0, 0, t = 0) = N cos² (0) cos(). What is the probability of measuring the square of the total angular momentum magnitude to be 6ħ²? What is the probability that a measurement of the position of the particle finds 0 ≤ ≤ π/4₂
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Step 1: Given
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Step 2: Normalization constant
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Step 3: Probability of Measuring L^2
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Step 4: Probability of Position Measurement
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