The product of the uncertainties \left( \Delta {L}_{x} \right)\left( \Delta {L}_{y} \right) for a particle in the state a|1,1\rangle +b|1,- 1\rangle where |l,m\rangle denotes an eigenstate of {L}^{2} and {L}_{z} will be a minimum for

Orbital angular Momentum and Hydrogen atom — CSIR Net PYQ (Question 3)

A Orbital angular Momentum and Hydrogen atom previous-year question (PYQ) from Quantum Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 3 of 24 · 5.0 marks

The product of the uncertainties

(Δ L_{x}) (Δ L_{y})

for a particle in the state

a ∣1, 1 ⟩ + b ∣1, - 1 ⟩

where

∣ l, m ⟩

denotes an eigenstate of

L^{2}

and

L_{z}

will be a minimum for

1 $a = \pm ib$
2 $a = 0$ and $b = 1$
3 $a = \frac{3}{2}$ and $b = \frac{1}{2}$
4 $a = \pm b$

Correct answer: Option 4

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