dMAT Physics Module: Syllabus, Format & Practice Questions

Physics is one of seven subject modules of the dMAT exam. It tests your understanding of foundational and applied physics concepts as part of the Subject Module for the MSc Battery Science and Technology in Engineering at RWTH Aachen University.

In this guide, you will find details about the Physics Module for the dMAT exam, including syllabus, exam pattern, and practice questions.

Key Highlights: 

• The dMAT Physics Module includes a Basic Task and two Advanced Tasks within the 90-minute duration.
• The syllabus for the dMAT Physics Module covers electric circuits, Ohm's law, oscillations, waves, diffraction, Miller indices, and solid-state physics.
• dMAT Physics Module questions use technical passages followed by single-choice questions with four answer options.
• dMAT Physics Module preparation focuses on formula application, passage interpretation, and timed solving as no notes or calculator are allowed.

dMAT Physics Module Overview

The dMAT Physics Module is one of the five discipline-specific dMAT Subject Modules designed for applicants to MSc Battery Science and Technology in Engineering at RWTH Aachen University. Every candidate assigned this subject module attempts a Basic Task and two Advanced Tasks.

The table below provides an overview of the dMAT Physics Module.

dMAT Physics Module Syllabus

When you take the dMAT Physics subject module, you first attempt the shared Basic Tasks across Physics, Chemistry, Computer Science, Electrical Engineering, and Mechanical Engineering. If your undergraduate field is Physics, you also attempt the two Physics Advanced Tasks, which test fundamental and applied physics concepts at Bachelor's level. 

dMAT Physics Basic Task

The Physics Basic Task tests electric circuits and Ohm's law, presented through a short passage that gives you the relevant formula before the questions begin. You do not need to derive anything from memory. The passage states the relationship between current, voltage, and resistance, and the questions test whether you can apply it correctly under time pressure.

The core relationship is Ohm's law, R = U ÷ I, where R is resistance in ohms, U is voltage in volts, and I is current in amperes. For resistors connected in parallel, the total resistance follows 1/Rtot = 1/R1 + 1/R2 + 1/R3, and so on for any number of resistors.

• Read the passage first: Treat the passage as your formula sheet rather than skimming past it. The Basic Task supplies the exact relationship you need, so misreading a variable costs more marks than not knowing the formula.
• Parallel resistance direction: Adding a resistor in parallel always reduces total resistance, never increases it. Questions frequently test this direction rather than the arithmetic itself.
• Conceptual framing over calculation: Questions ask what a change in resistance or voltage implies about current, rather than asking for a direct numeric answer, so check carefully what is actually being asked before reaching for the formula.

dMAT Physics Advanced Task 1 

dMAT Physics Advanced Task 1 builds a single oscillating system, the simple pendulum, and layers successive corrections onto it. Questions start with the idealised case and are then asked to account for a finite pendulum bob, air resistance, and large-angle displacement, one correction at a time.

The task also extends to electromagnetic oscillation in an LCR series circuit and to two coupled pendulums linked by a spring.

• Track which correction is active: Each question usually isolates one correction at a time (mass distribution, damping, or large-angle effects), so identify which assumption has been relaxed before selecting a formula.
• Keep the parallel axis theorem separate from the moment of inertia integral: The two are often tested in the same passage but answer different questions, one for a body rotating about its own centre of mass and one for a body rotating about a shifted axis.
• Match circuit behaviour to mechanical oscillation: The LCR circuit questions mirror the mechanical pendulum questions in structure, so recognising the analogy between inductance and mass, or capacitance and stiffness, speeds up the read.

dMAT Physics Advanced Task 2

dMAT Physics Advanced Task 2 covers wave behaviour and solid-state physics, the discipline most directly relevant to battery materials, since electrode and electrolyte performance depends on lattice structure and electron behaviour.

The task covers wave phenomena such as the Doppler effect and double-slit diffraction, along with solid-state concepts including Miller indices. It also covers crystal systems, where the relationships between lattice vectors and the angles between them determine whether a structure is classified as cubic, tetragonal, hexagonal, or another system.

• Direction of Doppler shift: A source moving towards the observer raises the observed frequency, and a source moving away lowers it. Get the sign right before touching the formula, since most wrong answers come from an inverted sign rather than an arithmetic slip.
• Miller index calculation order: Note the intercepts, invert each one, then reduce to the smallest common multiple. Skipping the inversion step is the most common error in this task.

dMAT Physics Practice Questions

Use these dMAT Physics practice questions to apply key syllabus concepts, improve your problem-solving speed, and get familiar with the single-choice format. 

Sample Question 1 (Basic Task) 

When a voltage U is applied across an electrical circuit, a current I flows through it. The conductor offers electrical resistance R, measured in ohms (Ω), which causes electrical energy to be converted into thermal energy.

Ohm's law can describe the relationship between current, voltage and resistance: 𝑅 = 𝑈 𝐼 When setting up a circuit, the electrical resistors can be connected in parallel. The total resistance 𝑅𝑡𝑜𝑡 can then be determined by the following formula: 1 𝑅𝑡𝑜𝑡 = 1 𝑅1 + 1 𝑅2 + 1 𝑅3 + …

A circuit carries a current of 0.3 A when a voltage of 12 V is applied. What is the circuit resistance?

3. A) 3.6 Ω 
4. B) 12 Ω 
5. C) 36 Ω 
6. D) 40 Ω 

Answer: D. Using R = U ÷ I, R = 12 V ÷ 0.3 A = 40 Ω.

Sample Question 2 (Advanced Task 1)

A simple pendulum's angular frequency is derived as ω₀ = √(g/l) under a set of idealising assumptions. Which of the following is not one of those assumptions? 

1. A) The angular displacement is small relative to the string length. 
2. B) The string's mass is negligible compared with the bob's mass. 
3. C) The string does not stretch under tension. 
4. D) The pendulum bob has a fixed initial velocity. 

Answer: D. The initial condition of the bob is independent of the frequency formula, while small-angle displacement, negligible string mass, and an inextensible string are all required for the derivation.

Sample Question 3 (Advanced Task 2) 

A wave propagates through time and space. The relationship between its wavelength \(\lambda\) and frequency \(f\) in vacuum is given by \(c=\lambda f\), where \(c\) is the speed of light. Miller indices are triples \((hkl)\) that define a lattice plane in solid-state physics. You determine them by noting the axis intercepts, taking their reciprocals, and reducing them to the smallest whole-number ratio.

A lattice plane has axis intercepts of 2, 3, and 6 units along the \(x\), \(y\), and \(z\) axes, respectively. What is this plane's Miller index?

1. A) (2, 3, 6)
2. B) (3, 2, 1)
3. C) (1, 2, 3)
4. D) (6, 3, 2)

Answer: B. The reciprocals of the intercepts are \(1/2, 1/3,\) and \(1/6\). Multiplying by 6 gives the smallest whole-number ratio 3:2:1, so the Miller indices are (321).

4-Week dMAT Physics Study Plan

Follow this 4-week dMAT Physics study plan to revise fundamental concepts, strengthen your Basic and Advanced Task preparation, and build exam-ready speed through timed practice. 

How to Prepare for the dMAT Physics Module? 

To prepare for the dMAT Physics Module, build your revision around applying formulas to unfamiliar scenarios rather than re-deriving them from scratch, since every passage in the Subject Module supplies the relevant relationship upfront.

• Prioritise the Advanced Tasks: Cover the Basic Task concepts such as Ohm's law and parallel resistance first, then dedicate more preparation time to the two Advanced Tasks in your field. 
• Practise reading passages for the question being asked: Several questions test whether a statement follows logically from the given relationship rather than asking for a direct calculation, so read the question stem before deciding which formula applies.
• Train yourself across disciplines, not just Physics: Use timed practice to move between Physics, Chemistry, Computer Science, Electrical Engineering, and Mechanical Engineering, since you complete all five Basic Tasks within the same 90-minute Subject Module. 
• Use elimination when unsure: Since the dMAT exam has no negative marking, eliminate clearly incorrect options and make an educated guess rather than leaving a question unanswered.

From the Desk of Yocket

The dMAT Physics module rewards candidates who already think in terms of applying a given formula to a new scenario, since that is exactly what a Physics or engineering degree trains you to do. Build speed on the Basic Task early so your remaining preparation time goes into the two Advanced Tasks that require more practice.

With Yocket Prep, you can practise dMAT-style questions and build the speed you need to tackle the Basic and Advanced Tasks confidently. With the right understanding of the syllabus and exam format, you can prepare more effectively for test day.