Q106 · CSIR-NET Chemistry, December 2013
Paper: CSIR-NET December 2013 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Angular Momentum · Marks: 2 · Difficulty: Easy
The angular momentum operator $\hat{\mathrm{L}}_{\mathrm{y}}$
(a)$-\frac{\hbar}{i}\left(y \frac{\partial}{\partial z}-z \frac{\partial}{\partial y}\right)$
(b)$\frac{\hbar}{\mathrm{i}}\left(\mathrm{z} \frac{\partial}{\partial \mathrm{x}}-\mathrm{x} \frac{\partial}{\partial \mathrm{z}}\right)$
(c)$\frac{-\mathrm{i} \hbar}{2 \mathrm{m}} \frac{\partial}{\partial \mathrm{x}}$
(d)$\frac{\hbar}{\mathrm{i}}\left(\mathrm{z} \frac{\partial}{\partial \mathrm{x}}-\mathrm{y} \frac{\partial}{\partial \mathrm{y}}\right)$
Answer
Answer: B ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
L_y = z p_x − x p_z = (ħ/i)(z ∂/∂x − x ∂/∂z).
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