Free Printable WorksheetScienceGrade 12Science Curriculum12.87

12.87 Standing Waves and Resonance Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.87 Standing Waves and Resonance. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Standing Waves and Resonance: Identify nodes, antinodes, harmonics, resonant frequencies, and string or air-column patterns. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.87 - Standing Waves and Resonance: 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 12.87 Standing Waves and Resonance skill assessments:

Problem 1Difficulty: Mastery
A designer wants a fixed string's third harmonic to be 660 Hz. What fundamental frequency must that string have?
A110 Hz
B330 Hz
C1980 Hz
D220 Hz
Solution & Explanation:For a fixed string, the third harmonic is 3f1. Therefore f1 = 660/3 = 220 Hz.
Problem 2Difficulty: Mastery
In a standing-wave setup, the distance from a node to the nearest antinode is 0.18 m and the wave speed is 144 m/s. What driving frequency matches this standing wave?
A100 Hz
B400 Hz
C200 Hz
D800 Hz
Solution & Explanation:A node-to-nearest-antinode distance is wavelength/4. Thus wavelength = 4(0.18) = 0.72 m, and f = v/wavelength = 144/0.72 = 200 Hz.
Problem 3Difficulty: Mastery
A 0.50 m closed-open pipe has v_sound = 340 m/s. Which driving frequency is closest to an allowed resonance?
A600 Hz
B500 Hz
C680 Hz
D760 Hz
Solution & Explanation:The closed-open fundamental is f1 = 340/[4(0.50)] = 170 Hz, so allowed resonances are about 170, 510, and 850 Hz. 500 Hz is closest to 510 Hz.

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Frequently Asked Questions

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QIs this 12.87 Standing Waves and Resonance worksheet free for teachers and homeschoolers?

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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 12.87 (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.).

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