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

question 37

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

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Definitions:

Payback

Payback is a capital budgeting metric that measures the time required for an investment to generate cash flows sufficient to recover the initial investment cost.

Mutually Exclusive

Situations, choices, or events that cannot occur or be chosen at the same time; selecting one option excludes the possibility of the other.

WACC

The Weighted Average Cost of Capital (WACC) represents the expected average return rate a company owes its security holders for financing its assets.

NPV

Net Present Value (NPV) is a financial metric used to evaluate the profitability of an investment, calculated by subtracting the present value of cash outflows from the present value of cash inflows over a period of time.