1Units, Scalars and Vectors
Question 1: Units, Scalars and Vectors
Which pair contains two vector quantities?
Momentum and displacement both have a direction. Speed, mass, energy and time are scalars (they have only a size).
Free mock quiz · IMAT Physics
IMAT Physics Mock Quiz 1
Ten exam-style questions, one from every topic of the IMAT physics syllabus. Every question you master brings you one step closer to your place in medical school.
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Free mock quiz – not an official test. This is a free practice (mock) quiz written according to the official IMAT physics syllabus. It is not an official IMAT test and is not produced or endorsed by the IMAT organisers or the Italian Ministry of University and Research.
Units, Scalars and VectorsKinematicsHarmonic MotionForces: Elastic ForceWork and EnergyFluidsThermodynamics: Ideal GasesElectrostaticsElectric CircuitsMagnetism and Induction
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2Kinematics
Question 2: Kinematics
A car travelling at 20 m/s brakes uniformly and stops in a distance of 40 m. What is the size of its deceleration?
v2 = u2 + 2as: 0 = 202 − 2a(40), so a = 40080 = 5.0 m/s2.
3Harmonic Motion
Question 3: Harmonic Motion
An object performs simple harmonic motion with amplitude 0.10 m and period 0.50 s. What is its maximum speed, approximately?
vmax = ωA = 2πTA = 2π0.50 × 0.10 = 0.4π ≈ 1.3 m/s, reached as the object passes through the equilibrium position.
4Forces: Elastic Force
Question 4: Forces: Elastic Force
A mass hangs at rest from a spring of spring constant 200 N/m, which is stretched by 5.0 cm. What is the mass? (g = 10 m/s2)
At rest the spring force balances the weight: kx = mg, so m = 200 × 0.05010 = 1.0 kg. (Remember to convert 5.0 cm to 0.050 m.)
5Work and Energy
Question 5: Work and Energy
A ball is dropped from rest from a height of 5.0 m. Ignoring air resistance, what is its speed just before it hits the ground? (g = 10 m/s2)
Conservation of energy: mgh = 12mv2, so v = = = = 10 m/s. The mass cancels.
6Fluids
Question 6: Fluids
Water flows through a horizontal pipe whose cross-section narrows from 6.0 cm2 to 2.0 cm2. The speed in the wide part is 1.5 m/s. What is the speed in the narrow part?
Continuity equation: A1v1 = A2v2, so v2 = 6.0 × 1.52.0 = 4.5 m/s. A third of the area means three times the speed.
7Thermodynamics: Ideal Gases
Question 7: Thermodynamics: Ideal Gases
An ideal gas at 100 kPa is compressed slowly at constant temperature from 6.0 L to 2.0 L. What is its final pressure?
At constant temperature pV is constant (Boyle's law): 100 × 6.0 = p × 2.0, so p = 300 kPa.
8Electrostatics
Question 8: Electrostatics
Two point charges a distance r apart repel each other with a force F. The distance between them is tripled. What is the new force?
Coulomb's law: F ∝ 1r2. Tripling r divides the force by 32 = 9.
9Electric Circuits
Question 9: Electric Circuits
A 4.0 Ω resistor and a 6.0 Ω resistor are connected in series to a 20 V supply of negligible internal resistance. What is the potential difference across the 6.0 Ω resistor?
In series the resistances add: R = 10 Ω, so I = VR = 2010 = 2.0 A. The p.d. across the 6.0 Ω resistor is V = IR = 2.0 × 6.0 = 12 V (and 8.0 V across the 4.0 Ω one).
10Magnetism and Induction
Question 10: Magnetism and Induction
The magnetic flux through each turn of a 100-turn coil falls from 0.050 Wb to 0.010 Wb in 0.20 s. What is the average induced emf?
Faraday's law: emf = NΔΦΔt = 100 × 0.0400.20 = 20 V.
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All questions are original practice questions written by Christos Fotakidis following the published IMAT syllabus. They are not official IMAT questions, they are not taken from any past paper, and this page is not affiliated with the IMAT organisers or the Italian Ministry of University and Research.