Rubidium-87 Decays by Beta Decay with a Half-Life of 4

question 54

Multiple Choice

Rubidium-87 decays by beta decay with a half-life of 4.9 × 10¹⁰ yr.How many ⁸⁷Rb atoms are in a moon rock sample that has a rubidium decay rate of 3,500 disintegrations per hour?

• A)9.0 × 10¹⁶ atoms
• B)4.3 × 10^-4 atoms
• C)2.2 × 10¹⁸ atoms
• D)2.5 × 10¹⁴ atoms
• E)1.7 × 10¹⁴ atoms

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Definitions:

Effective Annual Rate

The interest rate on an investment or loan that considers the effect of compounding over a one-year period.

Continuous Compounding

The process of calculating interest and reinvesting it into an account continuously, generating earnings on both the initial principal and the accumulated interest.

Retirement Fund

A financial reserve that accumulates through savings and investments, intended to support individuals financially during their retirement years.