The Normalized Wave Function for a Hydrogen Atom in the 1s

question 27

Multiple Choice

The normalized wave function for a hydrogen atom in the 1s state is given by ψ(r) = e-r/α₀ where α₀ is the Bohr radius, which is equal to 5.29 × 10^-11 m. What is the probability of finding the electron at a distance greater than 7.8 α₀ from the proton?

• A) 2.3 × 10^-5
• B) 1.2 × 10^-5
• C) 1.7 × 10^-5
• D) 4.6 × 10^-5
• E) 3.5 × 10^-5

Compute probabilities applying appropriate probability rules.

Understand the concept of conditional probability and its calculation.

Grasp the concept of independent events and how they affect probability outcomes.

Identify and apply the correct approach to assigning probabilities (classical, relative frequency, or subjective).

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Definitions:

Variable Overhead

Costs that vary with the level of production output, such as utilities for manufacturing equipment, which are not fixed.

Standard Cost

An estimated or pre-determined cost of manufacturing a product or performing a service, used for budgeting and performance evaluation.

Variable Manufacturing Overhead

Indirect production costs that fluctuate with the level of production output, such as utilities for the manufacturing plant.

Direct Labor-Hours

The total number of hours worked by employees directly involved in manufacturing goods or providing services.