Practice Problem: Radioactive Half-Life

Practice Problem: Radioactive Half-Life

Assessment

Interactive Video

Physics, Science

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

Professor Dave explains the concept of radioactive half-life using Cobalt-60, which decays to Nickel-60 with a half-life of 5.27 years. The video covers calculating the decay constant using the natural log of 2 and determining the fraction of Cobalt-60 nuclei remaining after 15 years. The decay constant is found to be 0.132 years^-1, and the fraction of nuclei remaining after 15 years is 13.8%.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary element discussed in the radioactive decay problem?

Carbon-14

Cobalt-60

Uranium-238

Nickel-60

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which mathematical expression is used to calculate the decay constant?

Half-life = ln(2) / decay constant

Decay constant = ln(2) / half-life

Half-life = decay constant / ln(2)

Decay constant = half-life / ln(2)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the decay constant for Cobalt-60?

1.98 years^-1

5.27 years^-1

0.132 years^-1

0.693 years^-1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to determine the fraction of nuclei remaining after a certain time?

N0 = Nt * e^(lambda * t)

N0 = Nt * e^(-lambda * t)

Nt = N0 * e^(lambda * t)

Nt = N0 * e^(-lambda * t)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What percentage of Cobalt-60 nuclei remains after 15 years?

0%

25%

50%

13.8%

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