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12.84 Wave Speed Relationships Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.84 Wave Speed Relationships. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Wave Speed Relationships: Use v = f lambda to determine wave speed, frequency, or wavelength and compare waves in different media. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.84 - Wave Speed Relationships: NGSS HS-PS4-1, HS-PS4-2, HS-PS4-3, HS-PS4-4, HS-PS4-5; CCSS HSN-Q.A, HSF-IF, HSG-MG, RST.11-12.7; AP Physics 1 oscillations; AP Physics 2 waves, sound, physical optics, geometric optics; TX TEKS Physics §112.45(c) waves/light; FL SC.912.P.10, SC.912.P.12; VA PH.5/PH.7; MA/CA/NY HS-PS4.

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 12.84 Wave Speed Relationships skill assessments:

Problem 1Difficulty: Mastery

A designer changes a medium so that a wave from the same source travels 12% faster. Which wavelength change is consistent with v = f lambda?

AThe wavelength decreases by 12%.

BThe wavelength stays the same.

CThe wavelength increases by 144%.

DThe wavelength increases by 12%.

Solution & Explanation:The source frequency is unchanged, so wavelength is directly proportional to speed. A 12% speed increase requires a 12% wavelength increase.

Problem 2Difficulty: Mastery

A 400 Hz source sends sound waves into materials. A table lists air: 340 m/s and 0.850 m; water: 1,480 m/s and 3.70 m; steel: 5,000 m/s and 12.5 m; gas X: 500 m/s and 1.00 m. Which row is inconsistent?

Aair

Bwater

Cgas X

Dsteel

Solution & Explanation:For a 400 Hz source, wavelength should equal v/400. Gas X should be 1.25 m, not 1.00 m; the other rows match.

Problem 3Difficulty: Mastery

A model compares a wave before and after crossing a boundary. Which proposed row violates the fixed-frequency rule for a transmitted wave from the same source?

Abefore: 10 Hz and 0.40 m; after: 10 Hz and 0.30 m

Bbefore: 10 Hz and 0.40 m; after: 8 Hz and 0.30 m

Cbefore: 12 Hz and 0.25 m; after: 12 Hz and 0.50 m

Dbefore: 6 Hz and 0.80 m; after: 6 Hz and 0.60 m

Solution & Explanation:Across a boundary, the transmitted wave keeps source frequency even though speed and wavelength can change. The row with 10 Hz before and 8 Hz after violates that rule.

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Frequently Asked Questions

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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 12.84 (NGSS HS-PS4-1, HS-PS4-2, HS-PS4-3, HS-PS4-4, HS-PS4-5; CCSS HSN-Q.A, HSF-IF, HSG-MG, RST.11-12.7; AP Physics 1 oscillations; AP Physics 2 waves, sound, physical optics, geometric optics; TX TEKS Physics §112.45(c) waves/light; FL SC.912.P.10, SC.912.P.12; VA PH.5/PH.7; MA/CA/NY HS-PS4.).