📚 AQA AS Physics Paper 2 (PH02) Exam Revision Guide | AQA AS 物理试卷2 (PH02) 考试复习指南
This comprehensive revision guide covers the essential topics and exam techniques for AQA AS Physics Paper 2 (PH02), focusing on the international specification examined on 23 May 2023. The paper assesses your understanding of waves, mechanics, materials, electricity, and quantum phenomena, with an emphasis on applying concepts to unfamiliar contexts and performing multi-step calculations.
这份全面复习指南涵盖 AQA AS 物理试卷2（PH02）的核心考点与应试技巧，针对 2023 年 5 月 23 日国际卷考试。试卷考查你对波、力学、材料、电学及量子现象的理解，重点在于将概念应用于陌生情境并进行多步骤计算。
1. Exam Overview | 考试概览
Paper 2 is a 1 hour 30 minute written exam worth 70 marks, contributing 50% of your AS qualification. It contains short-answer questions, calculations, and extended-response questions. You will need a scientific calculator, and the formula sheet provided includes key equations for mechanics, waves, and electricity.
试卷2为1小时30分钟笔试，满分70分，占AS总成绩的50%。题型包括简答题、计算题和扩展作答。考试允许使用科学计算器，附公式表涵盖力学、波和电学的关键方程。
- Topic weightings: Waves (20%), Mechanics (25%), Materials (10%), Electricity (25%), Quantum/Particles (20%) | 各专题权重：波（20%）、力学（25%）、材料（10%）、电学（25%）、量子/粒子（20%）
- Marks are split roughly 40% calculation, 35% explanation, 25% data analysis | 分数分布约为 40% 计算、35% 解释说明、25% 数据分析
2. Progressive Waves | 行波
A progressive wave transfers energy without transferring matter. The displacement of particles oscillates about their equilibrium positions, and the wave moves through the medium at a constant velocity determined by the medium’s properties.
行波传递能量但不传递物质。粒子在其平衡位置附近振动，而波以由介质性质决定的速度在介质中传播。
The wave equation relates wave speed c, frequency f, and wavelength λ:
c = f λ
For transverse waves, oscillations are perpendicular to the direction of energy transfer. For longitudinal waves, oscillations are parallel to the direction of energy transfer. Sound waves are longitudinal; waves on a string are transverse.
横波的振动方向垂直于能量传播方向；纵波的振动方向平行于能量传播方向。声波是纵波，绳波是横波。
When solving wave problems, always convert units carefully: frequency in Hz, wavelength in metres, speed in m s⁻¹. The phase difference Δφ between two points separated by distance x is given by:
Δφ = (2π x) ⁄ λ [in radians]
Common exam traps include confusing path difference with phase difference, and forgetting that 2π radians = 360°.
常见考试陷阱：混淆程差与相位差，忘记 2π 弧度 = 360°。
3. Stationary Waves & Harmonics | 驻波与谐波
A stationary wave is formed when two progressive waves of the same frequency and amplitude travel in opposite directions through a medium and superpose. The resultant wave has nodes (zero displacement) and antinodes (maximum displacement) at fixed positions.
驻波由两列频率和振幅相同、传播方向相反的行波叠加而成。合成波具有位置固定的波节（位移为零）和波腹（位移最大）。
For a string fixed at both ends, the fundamental frequency (first harmonic) has wavelength λ₁ = 2L, where L is the string length. The nth harmonic satisfies:
fₙ = n f₁ and λₙ = 2L ⁄ n (n = 1, 2, 3, …)
For a pipe open at both ends, the harmonics follow the same pattern. For a pipe closed at one end, only odd harmonics exist: fₙ = n f₁ with n = 1, 3, 5, …
对于两端开口的管，谐波规律与两端固定的弦相同；对于一端封闭的管，只存在奇次谐波：n = 1, 3, 5, …
Exam tip: When drawing stationary wave patterns, always mark nodes and antinodes clearly, and show the direction of vibration with arrows. Half a wavelength between adjacent nodes is the most common diagram error.
应试建议：画驻波图时必须清楚标出波节和波腹，并用箭头表示振动方向。相邻波节之间为半个波长，这是最常见的作图错误。
4. Refraction, Diffraction & Interference | 折射、衍射与干涉
Refraction occurs when a wave changes speed as it enters a different medium, causing a change in direction. Snell’s law relates the angles of incidence and refraction to the refractive indices:
折射是波进入不同介质时速度变化导致方向改变的现象。斯涅尔定律将入射角、折射角与折射率联系起来：
n₁ sin θ₁ = n₂ sin θ₂
When light travels from a denser to a rarer medium, total internal reflection can occur if the angle of incidence exceeds the critical angle C, where sin C = n₂ ⁄ n₁.
当光从光密介质射向光疏介质，若入射角大于临界角 C（sin C = n₂ ⁄ n₁），会发生全反射。
Young’s double-slit experiment demonstrates interference. The fringe spacing w is given by the equation:
w = λD ⁄ s
where λ is wavelength, D is the distance from the slits to the screen, and s is the slit separation. For constructive interference, the path difference must equal a whole number of wavelengths; for destructive interference, it must be an odd number of half-wavelengths.
其中 λ 为波长，D 是双缝到屏幕的距离，s 是缝间距。相干加强要求程差为波长的整数倍；相消干涉要求程差为半波长的奇数倍。
5. Moments, Equilibrium & Projectile Motion | 力矩、平衡与抛体运动
The moment of a force about a point is the product of the force and the perpendicular distance from the line of action to the pivot:
力对某点的力矩等于力与其作用线到支点垂直距离的乘积：
Moment = F × d
For a body in equilibrium, the principle of moments states that the sum of clockwise moments equals the sum of anticlockwise moments about any point. Also, the resultant force in any direction must be zero.
对处于平衡态的物体，力矩原理表明：绕任意点顺时针力矩之和等于逆时针力矩之和；且任意方向上的合力为零。
Projectile motion involves constant horizontal velocity and constant vertical acceleration due to gravity (g = 9.81 m s⁻²). Resolve the initial velocity into components:
抛体运动包含水平方向匀速运动与竖直方向的重力匀加速运动（g = 9.81 m s⁻²）。将初速度分解为分量：
uₓ = u cos θ , uᵧ = u sin θ
Use the kinematic equations separately for each direction. The time of flight is determined by the vertical motion; the range by multiplying horizontal speed by time of flight.
对水平和竖直方向分别使用运动学方程。飞行时间由竖直运动决定；射程等于水平速度乘以飞行时间。
Common mistake: Never mix horizontal and vertical components in a single kinematic equation. Mark the sign convention for upward acceleration as positive or negative consistently.
常见错误：切勿在同一个运动学方程中混用水平和竖直分量。对竖直方向的正方向（向上为正）要始终一致。
6. Momentum & Collisions | 动量与碰撞
Linear momentum is the product of mass and velocity: p = mv. The principle of conservation of momentum states that, in the absence of external forces, total momentum remains constant before and after a collision or explosion.
线性动量是质量与速度的乘积：p = mv。动量守恒定律表明：在没有外力作用的情况下，碰撞或爆炸前后系统的总动量保持不变。
There are two types of collisions:
碰撞分为两类：
- Elastic: kinetic energy is conserved | 弹性碰撞：动能守恒
- Inelastic: kinetic energy is not conserved (some is converted to heat, sound, or deformation) | 非弹性碰撞：动能不守恒（部分转化为热、声或形变能）
For a perfectly elastic collision between two equal masses, the velocities are exchanged. In a head-on collision, apply:
对于两个等质量物体的完全弹性碰撞，速度互换。对正碰应用：
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
For inelastic collisions, use the coefficient of restitution e = (v₂ − v₁) ⁄ (u₁ − u₂). For perfectly inelastic collisions, the objects stick together and move with a common velocity.
对非弹性碰撞运用恢复系数 e = (v₂ − v₁) ⁄ (u₁ − u₂)。对完全非弹性碰撞，物体粘在一起以共同速度运动。
Newton’s second law can be expressed in terms of momentum: F = Δp ⁄ Δt. This is particularly useful for force–time graph questions, where the area under the graph equals the impulse (change in momentum).
牛顿第二定律可用动量表达：F = Δp ⁄ Δt。这在力–时间图像题中尤为实用，图线与时间轴围成的面积等于冲量（动量变化量）。
7. Work, Energy & Power | 功、能与功率
Work done is the product of force and distance moved in the direction of the force: W = Fd cos θ. Energy is transferred when work is done, measured in joules (J).
功等于力与沿力方向位移的乘积：W = Fd cos θ。做功时发生能量转移，单位为焦耳（J）。
The key energy equations for AS Physics are:
AS 物理中的关键能量方程：
- Kinetic energy: Eₖ = ½ mv² | 动能：Eₖ = ½ mv²
- Gravitational potential energy: Eₚ = mgh | 重力势能：Eₚ = mgh
- Elastic potential energy: Eₑ = ½ FΔL = ½ kΔL² | 弹性势能：Eₑ = ½ FΔL = ½ kΔL²
Power is the rate of doing work or transferring energy: P = W ⁄ t = Fv (for constant force and velocity). Efficiency is the ratio of useful output energy to total input energy, expressed as a percentage.
功率是做功或能量转移的速率：P = W ⁄ t = Fv（对恒力与匀速）。效率是有用输出能量与总输入能量之比，以百分数表示。
In energy conservation problems, equate total energy at one position to total energy at another, adding or subtracting work done against friction. Pay attention to whether the question asks for energy in joules or kilojoules (1 kJ = 1000 J).
在能量守恒问题中，将某一位置的总能量与另一位置的总能量相等，并加上或减去克服摩擦做的功。注意题目要求能量单位是焦耳还是千焦（1 kJ = 1000 J）。
8. Materials: Stress, Strain & Young’s Modulus | 材料：应力、应变与杨氏模量
When a material is stretched, tensile stress and tensile strain are defined as:
当材料被拉伸时，张应力和张应变定义为：
Stress σ = F ⁄ A , Strain ε = ΔL ⁄ L
Young’s modulus is the ratio of stress to strain in the elastic region:
杨氏模量是弹性区域内应力与应变的比值：
E = σ ⁄ ε = (F L) ⁄ (A ΔL)
The gradient of a stress–strain graph in the linear region gives Young’s modulus. The area under a stress–strain graph represents the strain energy per unit volume.
应力–应变图线线性区域的斜率即为杨氏模量。应力–应变图线下的面积表示单位体积的应变能。
Key features of stress–strain graphs:
应力–应变图的关键特征：
- Hooke’s law region: linear, elastic behaviour | 胡克定律区：线性弹性行为
- Elastic limit: beyond this, permanent deformation occurs | 弹性极限：超过此点产生永久形变
- Yield point: large strain increase with little stress increase | 屈服点：应力几乎不变而应变大幅增加
- Ultimate tensile strength: maximum stress the material can withstand | 极限抗拉强度：材料能承受的最大应力
Exam tip: Convert area from mm² to m² (1 mm² = 10⁻⁶ m²) before substitution into Young’s modulus. A common error is using diameter instead of cross-sectional area.
应试建议：代入杨氏模量公式前，将面积从 mm² 换算为 m²（1 mm² = 10⁻⁶ m²）。常见错误是用直径代替横截面积。
9. Current, Voltage & Resistance | 电流、电压与电阻
Electric current is the rate of flow of charge: I = ΔQ ⁄ Δt, measured in amperes (A). One ampere corresponds to one coulomb of charge flowing per second.
电流是电荷流动的速率：I = ΔQ ⁄ Δt，单位为安培（A）。1 安培等于每秒流过 1 库仑电荷。
Resistance is defined by Ohm’s law:
R = V ⁄ I
For an ohmic conductor at constant temperature, current is proportional to potential difference. Non-ohmic devices such as filament lamps and diodes have curved I–V characteristics.
对恒温下的欧姆导体，电流与电压成正比。非欧姆器件如白炽灯和二极管具有弯曲的 I–V 特性曲线。
Resistivity ρ is a material property relating resistance to dimensions:
电阻率 ρ 是材料属性，将电阻与尺寸联系起来：
R = ρL ⁄ A
where L is length and A is cross-sectional area. This explains why long, thin wires have greater resistance than short, thick wires of the same material.
其中 L 为长度，A 为横截面积。这解释了为何同种材料的长细导线比短粗导线电阻更大。
10. DC Circuits | 直流电路
In series circuits, components are connected end to end. The total resistance is the sum of individual resistances: R_total = R₁ + R₂ + R₃. The same current flows through every component, and the total EMF (electromotive force) is shared across components according to their resistances.
串联电路中元件首尾相连。总电阻等于各电阻之和：R_total = R₁ + R₂ + R₃。通过每个元件的电流相同，总电动势按电阻大小分配。
In parallel circuits, the reciprocal of total resistance equals the sum of reciprocals:
并联电路中，总电阻的倒数等于各电阻倒数之和：
1 ⁄ R_total = 1 ⁄ R₁ + 1 ⁄ R₂ + 1 ⁄ R₃
The potential difference across each parallel branch is the same, and the total current is the sum of branch currents. The total resistance of parallel resistors is always less than the smallest individual resistance.
每个并联支路两端的电压相等，总电流等于各支路电流之和。并联电阻的总电阻总是小于其中最小电阻。
Internal resistance r of a battery affects the terminal potential difference. The EMF ε and terminal voltage V are related by:
电池内阻 r 会影响端电压。电动势 ε 与端电压 V 的关系为：
ε = I(R + r) and V = ε − Ir
When the external resistance R = r, maximum power is transferred to the load. This is called the maximum power transfer theorem.
当外电阻 R = r 时，负载获得最大功率，这称为最大功率传输定理。
Exam tip: When analysing circuits, always redraw complex circuits clearly, identify series and parallel sections step by step, and label currents and potential differences at each node.
应试建议：分析电路时，先重绘复杂电路图，逐步识别串联和并联部分，并在每个节点标注电流和电压。
11. Quantum Phenomena | 量子现象
The photoelectric effect provides evidence for the particle nature of light. Photons have energy given by:
光电效应为光的粒子性提供了证据。光子的能量为：
E = hf = hc ⁄ λ
where h is Planck’s constant (6.63 × 10⁻³⁴ J s). The work function φ is the minimum energy required to remove an electron from a metal surface. Einstein’s photoelectric equation is:
其中 h 为普朗克常量（6.63 × 10⁻³⁴ J·s）。逸出功 φ 是从金属表面移出一个电子所需的最小能量。爱因斯坦光电效应方程为：
hf = φ + Eₖ_max
Increasing light intensity increases the number of photoelectrons but not their maximum kinetic energy. Increasing frequency increases the maximum kinetic energy of emitted electrons.
增大光强会增加光电子数量，但不改变其最大动能；增大频率会增加逸出电子的最大动能。
In the Bohr model of the hydrogen atom, electrons occupy discrete energy levels. When an electron transitions from a higher to a lower level, a photon is emitted with energy equal to the level difference:
在玻尔氢原子模型中，电子占据分立的能级。当电子从高能级跃迁到低能级时，发射光子，其能量等于能级差：
hf = E₁ − E₂
Ionisation occurs when an electron absorbs enough energy to escape the atom entirely. For hydrogen, the ionisation energy from the ground state is 13.6 eV.
当电子吸收足够能量完全脱离原子时发生电离。氢原子从基态电离的能量为 13.6 eV。
12. Exam Technique & Common Mistakes | 考试技巧与常见错误
To maximise marks in PH02, follow these strategies:
为在 PH02 中拿到最高分，请遵循以下策略：
- Read the command word carefully: “State” requires a brief answer, “Explain” requires reasoning, “Calculate” requires working shown | 仔细阅读指令词：”State（陈述）”需要简短回答，”Explain（解释）”需要推理，”Calculate（计算）”需要写出过程
- Show all working in calculations, including units at every step. You can gain method marks even with an arithmetic error | 计算题中展示每一步过程，每步都带单位。即使计算错误也能获得方法分
- Quote answers to an appropriate number of significant figures (usually 2 or 3), matching the data given | 答案保留适当有效数字（通常为2或3位），与题目给出的数据一致
- For graph questions: label axes with quantity and unit, draw a line of best fit, and calculate gradients using large triangles | 作图题：坐标轴标注物理量和单位，画最佳拟合线，用大三角形计算斜率
- For explanation questions: use correct technical vocabulary such as “momentum is conserved”, “energy is dissipated”, “interference pattern is formed” | 解释题：使用准确的专业词汇，如”动量守恒””能量耗散””形成干涉图样”
The most common marks lost in PH02 include: forgetting units, using incorrect prefixes (e.g. cm vs m), confusing frequency with wavelength, and not applying conservation laws to collisions. Review past papers and mark schemes to familiarise yourself with the expected answer structure.
PH02 中最常见的失分点包括：忘记单位、用错单位前缀（如 cm 与 m 混淆）、混淆频率与波长、未对碰撞应用守恒定律。认真研究历年真题和评分标准，熟悉答案结构。
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