Q94 · CSIR NET Chemistry, December 2012
Paper: CSIR NET December 2012 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Marks: 2 · Difficulty: Easy
The value of commutator $\left[\hat{\mathrm{x}}, \hat{\mathrm{p}}_{\mathrm{x}}^{2}\right]$ is given by
(a)2 i
(b)$2 \mathrm{i} \hbar$
(c)$2 \mathrm{i} \hbar \mathrm{x}$
(d)$2 \mathrm{i} \hbar \mathrm{p}_{\mathrm{x}}$
Answer
Answer: D ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
[x, p²] = [x, p]p + p[x, p] = 2iħ p_x.
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