Free Printable WorksheetScienceGrade 12Science Curriculum12.94

12.94 Lenses, Mirrors, and Image Formation Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.94 Lenses, Mirrors, and Image Formation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Lenses, Mirrors, and Image Formation: Select the ray diagram, image type, magnification, or sign convention for lenses and curved mirrors. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.94 - Lenses, Mirrors, and Image Formation: Corresponding standards/alignment: 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 12.94 Lenses, Mirrors, and Image Formation skill assessments:

Problem 1Difficulty: Mastery

Use the accompanying mixed-optics comparison table. Which comparison correctly matches a converging lens and a concave mirror when each has f = +15 cm and d_o = 45 cm?

AThe lens has d_i = -22.5 cm while the mirror has d_i = +22.5 cm because mirrors reverse signs

BBoth have d_i = +45 cm and m = -1.0 because the object is at 3F

CThe mirror must form an upright virtual image because every reflected image has positive magnification

DBoth have d_i = +22.5 cm and m = -0.50, but the real image is on the far side for the lens and in front for the mirror

Solution & Explanation:The equation gives 1/d_i = 1/15 - 1/45 = 2/45, so d_i = +22.5 cm and m = -0.50 for both. The physical side of a real image differs for a lens and a mirror.

Problem 2Difficulty: Mastery

A ray diagram for a diverging lens shows a real inverted image on the far side of the lens for a single real object. Which correction is best?

AThe image should be real, upright, and enlarged on the far side

BThe image should be at infinity because diverging lenses have no focal length

CThe image should be virtual, upright, reduced, and on the object side of the lens

DThe image should be real and same-size at 2F

Solution & Explanation:For a single diverging lens with a real object, refracted rays diverge and their backward extensions meet on the object side. The image is virtual, upright, and reduced.

Problem 3Difficulty: Mastery

Use the accompanying paraxial-ray note for a spherical mirror. Why are only rays close to the principal axis used in the simple ray diagram?

AFar-off-axis rays always form the same image without approximation

BThe thin-ray model assumes paraxial rays so they meet near a single focal point

COnly paraxial rays carry light energy

DParaxial rays make the mirror switch from concave to convex

Solution & Explanation:Introductory ray diagrams use the paraxial approximation so spherical mirrors and thin lenses can be modeled with a single focal point. Large-angle rays can introduce aberrations.

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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 12.94 (Corresponding standards/alignment: 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.).