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Light and Geometric Optics光与几何光学

Practice Questions · AP-Feeder · ON / BC / AB Provincial & Diploma Styles练习题集 · AP 衔接 · 安 / 卑 / 阿省考与毕业考风格

EASY MEDIUM HARD 🇺🇸 US 🇨🇦 ON 🇨🇦 BC 🇨🇦 AB AP-style MCQAP 风格选择题 AP-feeder FRQAP 衔接简答题 ON Provincial-style安大略省考风格 BC Provincial-style卑诗省考风格 AB Diploma-style阿尔伯塔毕业考风格 Honors荣誉级


Name:姓名:Date:日期:
PART I  ·  SHORT RESPONSE第一部分  ·  短答题AP-style MCQ + ON/BC short answer · 20 marksAP 风格选择题 + 安/卑省考短答 · 共 20 分

Section A · Short ResponseA 部分 · 短答题

Mix of multiple-choice and short-answer items. For MCQs, circle the letter; show enough work in the margin that a marker could verify. For short-answer items, state units in every answer. Use $c = 3.00 \times 10^8\ \text{m/s}$ and $h = 6.63 \times 10^{-34}\ \text{J}\cdot\text{s}$ where needed. Measure all ray angles from the normal. Calculator permitted on Q4 and Q5.本节包含选择题与短答题。选择题请圈出字母答案,并在空白处写下足以让阅卷人核对的过程。短答题每道都要写出单位。需要时取 $c = 3.00 \times 10^8\ \text{m/s}$,$h = 6.63 \times 10^{-34}\ \text{J}\cdot\text{s}$。所有光线角度从法线量起。Q4 与 Q5 可用计算器。

Q1EASY 🇺🇸 US AP-style MCQAP 风格选择题 §1 EM spectrum电磁波谱 · HS-PS4-3 [3 marks][3 分]

Which list orders these regions of the electromagnetic spectrum from lowest to highest photon energy?下列哪一项把这些电磁波谱区域按光子能量从排列?

  1. (A) Radio, infrared, visible, ultraviolet, gamma无线电、红外、可见光、紫外、伽马
  2. (B) Gamma, ultraviolet, visible, infrared, radio伽马、紫外、可见光、红外、无线电
  3. (C) Visible, radio, infrared, gamma, ultraviolet可见光、无线电、红外、伽马、紫外
  4. (D) Infrared, radio, visible, gamma, ultraviolet红外、无线电、可见光、伽马、紫外
Q2EASY 🇺🇸 US AP-style MCQAP 风格选择题 §2 Law of reflection反射定律 · HS-PS4-3 [3 marks][3 分]

A light ray strikes a flat mirror at $25^{\circ}$ to the mirror surface. What is the angle of reflection, measured from the normal?一束光以与镜面成 $25^{\circ}$ 角射到平面镜上。从法线量起的反射角是多少?

  1. (A) $25^{\circ}$
  2. (B) $65^{\circ}$
  3. (C) $50^{\circ}$
  4. (D) $115^{\circ}$
Q3EASY 🇨🇦 ON ON Provincial-style安大略省考风格 §1 Wave-particle nature波粒二象性 · SPH3U [5 marks][5 分]

Blue light has a wavelength of $480$ nm in vacuum. Take $c = 3.00 \times 10^8\ \text{m/s}$ and $h = 6.63 \times 10^{-34}\ \text{J}\cdot\text{s}$.蓝光在真空中的波长为 $480$ nm。取 $c = 3.00 \times 10^8\ \text{m/s}$,$h = 6.63 \times 10^{-34}\ \text{J}\cdot\text{s}$。

(a) Find the frequency of the light, with units.求该光的频率,并写出单位。 [2]
(b) Find the energy of a single photon, with units.求单个光子的能量,并写出单位。 [2]
(c) State which model of light (wave or particle) each calculation relies on.说明每一步计算分别依赖光的哪种模型(波动或粒子)。 [1]
Q4MEDIUM 🇺🇸 US AP-style MCQAP 风格选择题 §4 Snell's law斯涅尔定律 · HS-PS4-3 [3 marks][3 分]

A ray of light in air ($n = 1.00$) enters water ($n = 1.33$) at an angle of incidence of $45^{\circ}$ from the normal. Which value is closest to the angle of refraction in the water?一束光从空气($n = 1.00$)以与法线成 $45^{\circ}$ 的入射角进入水($n = 1.33$)。水中折射角最接近下列哪个值?

  1. (A) $32^{\circ}$
  2. (B) $45^{\circ}$
  3. (C) $60^{\circ}$
  4. (D) $34^{\circ}$
Q5MEDIUM 🇨🇦 BC BC Provincial-style卑诗省考风格 §3 Curved mirrors曲面镜 · Physics 11 [6 marks][6 分]

A concave mirror has a focal length of $10$ cm. An object is placed $15$ cm in front of the mirror. Use the mirror equation $\tfrac{1}{f} = \tfrac{1}{d_o} + \tfrac{1}{d_i}$ and $m = -d_i/d_o$.一块凹镜焦距为 $10$ cm,物体置于镜前 $15$ cm 处。使用镜方程 $\tfrac{1}{f} = \tfrac{1}{d_o} + \tfrac{1}{d_i}$ 和 $m = -d_i/d_o$。

(a) Find the image distance $d_i$.求像距 $d_i$。 [3]
(b) Find the magnification $m$.求放大率 $m$。 [1]
(c) State whether the image is real or virtual, upright or inverted, and enlarged or diminished.说明像是实像还是虚像、正立还是倒立、放大还是缩小。 [2]
PART II  ·  EXTENDED RESPONSE第二部分  ·  简答题AP-feeder FRQ + honors · 34 marksAP 衔接简答题 + 荣誉级 · 共 34 分

Section B · Extended ResponseB 部分 · 简答题

Show every step of reasoning. State the equation used (mirror equation, thin-lens equation, Snell's law, or critical-angle relation) before substituting values. State units in every final answer, and state the sign convention ($d_o > 0$; $d_i > 0$ real, $d_i < 0$ virtual). Draw a ray diagram where it helps. Calculator permitted on Q6-Q9.每一步推理都要写出。代入数值前先注明所用方程(镜方程、薄透镜方程、斯涅尔定律或临界角关系)。每个最终答案都要写单位,并说明符号约定($d_o > 0$;$d_i > 0$ 为实像,$d_i < 0$ 为虚像)。需要时画出光路图。Q6-Q9 可用计算器。

Q6MEDIUM 🇺🇸 US AP-feeder FRQAP 衔接简答题 §6 Converging lens会聚透镜 · HS-PS4-5 [8 marks][8 分]

A converging lens has a focal length of $12$ cm.一块会聚透镜焦距为 $12$ cm。

(a) An object is placed $20$ cm from the lens. Find the image distance $d_i$.物体置于距透镜 $20$ cm 处。求像距 $d_i$。 [2]
(b) Find the magnification and state whether the image is real or virtual, upright or inverted.求放大率,并说明像是实像还是虚像、正立还是倒立。 [2]
(c) The object is now moved to $8$ cm from the same lens. Find the new image distance.现将物体移至距同一透镜 $8$ cm 处。求新的像距。 [2]
(d) Describe the image in part (c) and name the everyday optical instrument that uses this configuration.描述 (c) 中所成的像,并说出使用该配置的日常光学仪器名称。 [2]
Q7MEDIUM 🇨🇦 ON ON Provincial-style安大略省考风格 §4 Refraction in glass玻璃中的折射 · SPH3U [8 marks][8 分]

A ray of light travelling in air ($n = 1.00$) strikes a flat glass block ($n = 1.50$) at an angle of incidence of $50^{\circ}$ from the normal. Take $c = 3.00 \times 10^8\ \text{m/s}$.一束在空气($n = 1.00$)中传播的光以与法线成 $50^{\circ}$ 的入射角射到平整玻璃块($n = 1.50$)上。取 $c = 3.00 \times 10^8\ \text{m/s}$。

(a) Find the angle of refraction inside the glass.求光在玻璃内的折射角。 [3]
(b) Find the speed of light inside the glass.求光在玻璃内的传播速度。 [2]
(c) The light has a wavelength of $600$ nm in air. Find its wavelength inside the glass.该光在空气中波长为 $600$ nm。求其在玻璃内的波长。 [2]
(d) State whether the ray bends toward or away from the normal on entering the glass, and explain why in terms of optical density.说明光进入玻璃时是偏向还是偏离法线,并从光学密度的角度解释原因。 [1]
Q8HARD 🇨🇦 BC BC Provincial-style卑诗省考风格 §6 Diverging lens & power发散透镜与光焦度 · Physics 11 [8 marks][8 分]

A diverging lens has a focal length of $-15$ cm. An object is placed $30$ cm in front of the lens.一块发散透镜焦距为 $-15$ cm,物体置于透镜前 $30$ cm 处。

(a) Find the image distance $d_i$.求像距 $d_i$。 [2]
(b) Find the magnification and describe the image (real/virtual, upright/inverted, enlarged/diminished).求放大率并描述所成的像(实/虚、正立/倒立、放大/缩小)。 [2]
(c) Find the power of the lens in dioptres, using $P = 1/f$ with $f$ in metres.用 $P = 1/f$($f$ 以米计)求透镜的光焦度(屈光度)。 [2]
(d) Explain why a diverging lens cannot produce a real image of a real object, no matter where the object is placed.解释为何发散透镜无论物体置于何处都不能对实物体成实像。 [2]
Q9HARDHonors荣誉级 🇺🇸 US AP-feeder FRQAP 衔接简答题 §5 Total internal reflection & fibre optics全内反射与光纤 · HS-PS4-5 [10 marks][10 分]

An optical-fibre core is made of glass with $n = 1.50$. Take $n_{\text{air}} = 1.00$, $n_{\text{water}} = 1.33$, $n_{\text{diamond}} = 2.42$.一根光纤的纤芯由 $n = 1.50$ 的玻璃制成。取 $n_{\text{air}} = 1.00$,$n_{\text{water}} = 1.33$,$n_{\text{diamond}} = 2.42$。

(a) State the two conditions required for total internal reflection to occur.写出发生全内反射所需的两个条件。 [2]
(b) Find the critical angle for the glass-air interface.求玻璃-空气界面的临界角。 [2]
(c) A ray inside the glass core meets the glass-air boundary at $45^{\circ}$ from the normal. Will it undergo total internal reflection? Justify with a comparison.玻璃纤芯内一束光以与法线成 $45^{\circ}$ 射到玻璃-空气界面。它会发生全内反射吗?用比较加以论证。 [2]
(d) Find the critical angle for diamond in air, and explain why cut diamonds sparkle.求钻石在空气中的临界角,并解释为何切割后的钻石会闪烁。 [2]
(e) If the fibre is immersed in water ($n = 1.33$) instead of air, find the new critical angle for the glass-water boundary and state whether the fibre still confines light at $45^{\circ}$.若把光纤浸入水($n = 1.33$)而非空气中,求玻璃-水界面的新临界角,并说明光纤在 $45^{\circ}$ 时是否仍能约束光。 [2]
PART III  ·  MODELING / APPLIED第三部分  ·  建模与应用AB Diploma + Universal · 28 marks阿省毕业考 + 通用题型 · 共 28 分

Section C · Modeling and ApplicationsC 部分 · 建模与应用

Define symbols (with units) at the start of each question. State the equation used (Snell's law, mirror equation, lens equation, magnification) before substituting. Apply the real-positive sign convention. Conclude each question with a one-sentence answer in context, including the nature of any image. Calculator permitted throughout Part III.每题开始时定义符号(含单位)。代入数值前先写出所用方程(斯涅尔定律、镜方程、透镜方程、放大率)。采用实-为-正符号约定。每题以一句结合情境的完整句子作答,并说明所成像的性质。第三部分全程可用计算器。

Q10MEDIUM 🇨🇦 AB AB Diploma-style阿尔伯塔毕业考风格 §4 + §5 Refraction (applied)折射(应用) · 30-C1.11k [9 marks][9 分]

Sunlight strikes the flat surface of a still pool at $40^{\circ}$ from the normal. The water has $n = 1.33$; take $c = 3.00 \times 10^8\ \text{m/s}$ and $n_{\text{air}} = 1.00$.阳光以与法线成 $40^{\circ}$ 射到平静水池的水面上。水的折射率 $n = 1.33$;取 $c = 3.00 \times 10^8\ \text{m/s}$,$n_{\text{air}} = 1.00$。

(a) Find the angle of refraction of the light in the water.求光在水中的折射角。 [3]
(b) Find the speed of light in the water.求光在水中的传播速度。 [2]
(c) A fish rests $2.0$ m below the surface (real depth). Find its apparent depth as seen from directly above, using apparent depth $=$ real depth $/\,n$.一条鱼停在水面下 $2.0$ m 处(实际深度)。用 表观深度 $=$ 实际深度 $/\,n$,求从正上方看到的表观深度。 [2]
(d) Now a fish looks up toward the surface. Find the critical angle for the water-air boundary and state what the fish sees beyond that angle.现让鱼向上看向水面。求水-空气界面的临界角,并说明超过该角度时鱼看到什么。 [2]
Q11MEDIUM 🇨🇦 AB AB Diploma-style阿尔伯塔毕业考风格 §3 + §7 Curved mirrors (applied)曲面镜(应用) · 30-C1.7k [9 marks][9 分]

A concave shaving/makeup mirror has a focal length of $15$ cm. A face is held $10$ cm in front of it. Use the mirror equation and $m = -d_i/d_o$.一面凹形剃须/化妆镜焦距为 $15$ cm,一张脸置于镜前 $10$ cm 处。使用镜方程与 $m = -d_i/d_o$。

(a) Find the image distance $d_i$.求像距 $d_i$。 [2]
(b) Find the magnification and describe the image. Explain why this makes a good makeup mirror.求放大率并描述所成的像。解释为何这适合作化妆镜。 [3]
(c) A store instead installs a convex security mirror of focal length $-40$ cm. A shopper stands $200$ cm in front of it. Find the image distance and magnification.某商店改装一面焦距为 $-40$ cm 的凸面安防镜。一位顾客站在镜前 $200$ cm 处。求像距与放大率。 [3]
(d) State one reason a convex mirror is preferred over a concave mirror for store security.写出商店安防选用凸面镜而非凹面镜的一个原因。 [1]
Q12HARD 🇺🇸 US AP-feeder FRQAP 衔接简答题 §6 + §7 Optical instruments光学仪器 · HS-PS4-5 [10 marks][10 分]

A slide projector uses a converging lens of focal length $5.0$ cm. A slide (the object) is placed $6.0$ cm from the lens.一台幻灯机使用焦距为 $5.0$ cm 的会聚透镜。幻灯片(物体)置于距透镜 $6.0$ cm 处。

(a) Find the image distance, i.e. how far the screen must be from the lens.求像距,即屏幕须距透镜多远。 [2]
(b) Find the magnification and state whether the projected image is upright or inverted (and what this means for how the slide must be loaded).求放大率,并说明投影像是正立还是倒立(以及这对幻灯片如何装入的影响)。 [2]
(c) A refracting telescope has an objective of focal length $60$ cm and an eyepiece of focal length $2.0$ cm. Find its angular magnification, using $M = f_o/f_e$.一架折射望远镜物镜焦距 $60$ cm,目镜焦距 $2.0$ cm。用 $M = f_o/f_e$ 求其角放大率。 [2]
(d) The objective is $6.0$ cm wide and the eye pupil is $0.60$ cm wide. By what factor does the objective collect more light? (Area $\propto$ diameter$^2$.)物镜宽 $6.0$ cm,人眼瞳孔宽 $0.60$ cm。物镜集光量是瞳孔的多少倍?(面积 $\propto$ 直径$^2$。) [2]
(e) A student who is short-sighted (myopic) cannot focus distant stars. State which type of corrective lens she needs and explain, in terms of where the image forms relative to the retina, why it works.一名近视学生无法看清远处的星星。说明她需要哪种矫正透镜,并从像相对于视网膜成像位置的角度解释其原理。 [2]

🇺🇸 US NGSS美国 NGSSHS-PS4-3 · HS-PS4-5
🇨🇦 Ontario安大略SPH3U · Light & Geometric Optics strand光与几何光学单元
🇨🇦 British Columbia不列颠哥伦比亚Physics 11: wave behaviours (reflection, refraction)物理 11:波动行为(反射、折射)
🇨🇦 Alberta阿尔伯塔Physics 30 Unit C · 30-C1.6k · 30-C1.7k · 30-C1.11k

Full Syllabus Map lives in ../Study Guides/Unit_7_Light_and_Geometric_Optics.html. Note: NGSS treats optics qualitatively under HS-PS4; the quantitative mirror, lens and Snell's-law items sit above the NGSS-assessed floor but are core for ON SPH3U / BC Physics 11 / AB Physics 30.完整大纲对照表见 ../Study Guides/Unit_7_Light_and_Geometric_Optics.html。注:NGSS 在 HS-PS4 下从概念层面处理光学;定量的镜、透镜与斯涅尔定律题超出 NGSS 考查范围,但为安大略 SPH3U / 卑诗物理 11 / 阿省物理 30 的核心内容。