A physical observable, 'x', appears with the probability distribution e(-|2 x-12|) the average of x would be

Q65 · CSIR-NET Chemistry, June 2019

Paper: CSIR-NET June 2019 · Subject: Physical Chemistry · Chapter: Data Analysis · Topic: Data Analysis – General · Marks: 2 · Difficulty: Medium

A physical observable, 'x', appears with the probability distribution $\mathrm{e}^{(-|2 \mathrm{x}-12|)}$ the average of x would be

(a)0

(b)3

(c)6

(d)12

Answer

Answer: C ✓ checked by 4AB · confidence high

Explanation

e^{−|2x − 12|} is symmetric about 2x = 12, i.e. x = 6, so ⟨x⟩ = 6.

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