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12.132 Radioactive Decay and Half Life Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.132 Radioactive Decay and Half Life. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Radioactive Decay and Half-Life: Determine remaining sample fraction, decay products, half-life, or graph interpretation for radioactive decay. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.132 - Radioactive Decay and Half-Life: NGSS HS-PS1-8, HS-PS3, HS-PS4-5, HS-ESS1 connections, HS-ETS1; CCSS RST.11-12.1/7/9, WHST.11-12.1/2/7; AP Physics 2 modern physics; AP Physics C enrichment as appropriate; TX TEKS Physics §112.45(c); FL SC.912.P.8, SC.912.P.10; VA PH.8; MA/CA/NY HS-PS1/PS4/ESS1/ETS1.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Physics

Subject

Science

Domain

Science Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 12.132 Radioactive Decay and Half Life skill assessments:

Problem 1Difficulty: Mastery

A linearized decay graph has equation ln(N) = 6.0 - 0.0462t, where t is in hours. Which interpretation is best?

AThe initial N is 6.0, and the half-life is 0.0462 hours.

BThe initial N is about 4.0 x 10², and the half-life is about 30 hours.

CThe initial N is 0.0462, and the half-life is about 6 hours.

DThe initial N is about 4.0 x 10², and the half-life is about 15 hours.

Solution & Explanation:The intercept gives ln(N0) = 6.0, so N0 = e⁶ ≈ 403. The slope magnitude is lambda = 0.0462 h^-1, so T_half = 0.693/0.0462 ≈ 15 hours.

Problem 2Difficulty: Mastery

What percentage of a parent isotope remains after 2.75 half-lives?

Aabout 17.7%

Babout 25.0%

Cabout 14.9%

Dabout 8.8%

Solution & Explanation:The fraction remaining is (1/2)².75 ≈ 0.1487, or about 14.9%.

Problem 3Difficulty: Mastery

Two sources are measured with different backgrounds. Source M goes from 220 to 120 counts/min with a 20 counts/min background over 3 hours. Source N goes from 530 to 155 counts/min with a 30 counts/min background over 6 hours. Which conclusion is best?

ASource M has a 6-hour half-life and Source N has a 3-hour half-life.

BThey have the same half-life, about 3 hours.

CSource M has a 3-hour half-life and Source N has a 6-hour half-life.

DNeither source has a measurable half-life after correction.

Solution & Explanation:Corrected M rates are 200 and 100, a half in 3 hours. Corrected N rates are 500 and 125, a factor of 4 in 6 hours, which is two half-lives or 3 hours per half-life.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Physics Science students. It aligns with educational standard 12.132 (NGSS HS-PS1-8, HS-PS3, HS-PS4-5, HS-ESS1 connections, HS-ETS1; CCSS RST.11-12.1/7/9, WHST.11-12.1/2/7; AP Physics 2 modern physics; AP Physics C enrichment as appropriate; TX TEKS Physics §112.45(c); FL SC.912.P.8, SC.912.P.10; VA PH.8; MA/CA/NY HS-PS1/PS4/ESS1/ETS1.).