The Average Position,or Expectation Value,of a Particle Whose Wave Function $\Psi$

question 31

Multiple Choice

The average position,or expectation value,of a particle whose wave function $\Psi$ (x) depends only on the value of x,is given by < x > =

• A) \(\int _ { - \infty } ^ { + \infty } \sqrt { x } \psi ( x ) d x\) .
• B) \(\int _ { - \infty } ^ { + \infty } x \psi ( x ) d x\) .
• C) \(\int _ { - \infty } ^ { + \infty } \frac { x } { 2 } \psi ^ { 2 } ( x ) d x\) .
• D) \(\int _ { - \infty } ^ { + \infty } \frac { x ^ { 2 } } { 2 } \psi ( x ) d x\) .
• E) \(\int _ { - \infty } ^ { + \infty } \psi ^ { * } ( x ) x \psi ( x ) d x\) .

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Definitions:

Materials Price Variance

The difference between the actual cost of materials used in production and the standard cost, indicating how effectively materials costs are managed.

Raw Materials

The basic materials and substances used in the initial stages of production.

Work in Process

Inventory that includes products that are in the production process but are not yet complete.

Labor Rate Variance

The difference between the actual cost of labor and the standard or expected cost, which can occur due to wage rate changes or differences in worker efficiency.