The 2012 Physics Bowl keeps its classic shape: mechanics and electromagnetism carry the paper, with tidy numbers but strict unit discipline. 40 questions in 45 minutes — scan the code for the 2012 paper and answer key.
The 25 online practice questions start instantly; the full past-paper & answers PDF is available free from an advisor via the QR code — it is not a direct download on this page.2012 Physics Bowl paper overview and exam highlights.
The 2012 contest follows the classic Physics Bowl format: 40 multiple-choice questions in 45 minutes, an all-English paper, calculators permitted, one point per correct answer and no penalty for wrong guesses. Division 1 serves first-year and beginning physics students without calculus; Division 2 serves second-year and AP Physics C students, with separate rankings and awards for each division — you may enter only one. The exam is held in spring (around late March to early April) and registration deadlines follow the official announcement.
Mechanics again dominates: kinematics, Newton's laws, momentum and energy conservation cover roughly four-tenths of the paper, with gravitation and simple harmonic motion appearing steadily. Electromagnetism centers on Ohm's law, series-parallel circuits, capacitance and magnetic forces, with induction in its basic forms; thermodynamics favors specific heat and the ideal gas law; optics tests refraction and double-slit interference; and modern physics reliably includes the photoelectric effect, half-life and basic relativity. Most numbers work out cleanly, so speed and care with units decide the score.
Practice this paper in timed, topic-by-topic blocks and review every unit or sign slip. Scan the QR code to get the 2012 paper, answer key and step-by-step solutions, then finish with the 25 original mock questions on this page.
2012 Physics Bowl main topic areas, weights and emphasis.
Kinematics, Newton's laws, momentum and energy take about four-tenths, with gravitation and SHM appearing steadily.
Ohm's law, series-parallel networks and forces on wires dominate, with common basics of capacitance and induction.
Refraction, interference and standing-wave harmonics appear steadily; sound questions test v = fλ.
Specific heat and the ideal gas law share the load, with an occasional estimation problem.
Photoelectric effect, half-life and basic relativity concepts rotate through the set.
2012 Physics Bowl-style mock questions (Basic · Medium · Hard) — submit to grade and view step-by-step solutions.
A high-speed train travels at a steady 72 km/h for 25 s. What distance does it cover during this time?
Correct answer: D
Convert first: 72 km/h = 20 m/s, so s = vt = 20 × 25 = 500 m; 1800 m multiplies 72 by 25 and ignores the units. Core: convert km/h to m/s before substituting.A 400 kg go-kart on a flat track is pushed by a net horizontal force of 1200 N. What is its acceleration?
Correct answer: A
Apply F = ma: a = F/m = 1200/400 = 3 m/s2. Choice B divides m by F, and E adds F to m. Core: a = F/m.Two spacecraft attract each other with gravitational force F when separated by distance d. If the separation is increased to 2d, the new gravitational force is?
Correct answer: E
Gravity F = Gm1m2/r2 falls with the square of the distance, so doubling the separation quarters the force to F/4. F/2 treats it as a one-over-r law. Core: inverse-square — distance ×2 gives force ×1/4.A construction crane lifts a 500 kg steel beam at a constant speed of 2 m/s (g = 10 m/s2). What power does the crane deliver?
Correct answer: B
At constant speed the cable tension equals mg = 5000 N, so P = Fv = 5000 × 2 = 10000 W = 10 kW. Core: lifting at constant speed costs P = mgv.A car tail lamp runs on 12 V and carries a current of 3 A. What is the resistance of its filament?
Correct answer: D
R = V/I = 12/3 = 4 Ω. Choice A inverts V and I, and E multiplies them. Core: resistance = voltage divided by current.A circuit places a 6 Ω and a 4 Ω resistor in series across a 20 V supply. What current flows?
Correct answer: C
Series total: R = 6 + 4 = 10 Ω, so I = V/R = 20/10 = 2 A. Choices B and D divide by only one resistor. Core: add series resistances first.A 2 μF capacitor and a 3 μF capacitor are connected in parallel. What is the equivalent capacitance?
Correct answer: A
Capacitors in parallel simply add: C = 2 + 3 = 5 μF. Choice B wrongly applies the resistor-parallel formula. Core: capacitances add in parallel, opposite to resistors.A transverse wave on a long rope has frequency 50 Hz and wavelength 4 m. How fast does it travel?
Correct answer: E
Wave speed v = fλ = 50 × 4 = 200 m/s. Choice A divides f by λ. Core: v = fλ.How much heat is needed to raise the temperature of a 0.5 kg aluminum engine part (c = 900 J/(kg·°C)) by 40 °C?
Correct answer: C
Q = mcΔT = 0.5 × 900 × 40 = 18000 J = 1.8×104 J. Choice A omits the mass. Core: Q = mcΔT.What is the energy of a photon of visible light with frequency 5×1014 Hz? (h = 6.6×10-34 J·s)
Correct answer: D
E = hf = 6.6×10-34 × 5×1014 = 33×10-20 = 3.3×10-19 J. Core: photon energy is E = hf, with coefficients and powers of ten handled separately.A soccer ball is kicked horizontally at 15 m/s from the top of a 45 m cliff (g = 10 m/s2). How far from the base does it land?
Correct answer: B
The fall time comes from the height: t = √(2h/g) = √(2×45/10) = 3 s. Range x = vt = 15 × 3 = 45 m. Core: the drop height sets the flight time of a horizontal launch.A 2 kg freight cart moving at 6 m/s couples with a stationary 4 kg cart. What is their common speed after coupling?
Correct answer: E
Perfectly inelastic collision: 2×6 = (2+4)v, so v = 2 m/s. Choice C wrongly averages the speeds. Core: conserve momentum, not speed.A skateboarder starts from rest at the top of a 5 m high ramp (g = 10 m/s2) and reaches the bottom at 8 m/s. What fraction of the initial mechanical energy is lost to friction?
Correct answer: C
Initial energy mgh = 50m, final kinetic energy ½mv2 = 32m, so the lost fraction is (50−32)/50 = 36%; 64% is what remains as kinetic energy. Core: loss fraction = (initial energy minus final energy) over initial energy.A performer swings a 0.3 kg ball in a horizontal circle on a 2 m rope at 4 m/s. What centripetal force does the rope supply?
Correct answer: A
F = mv2/r = 0.3 × 16/2 = 2.4 N. Choice B forgets to square the speed. Core: centripetal force = mv2/r.A mass-spring oscillator has period 0.5 s. The mass is replaced with one 4 times heavier on the same spring. What is the new period?
Correct answer: D
The period T = 2π√(m/k) scales with the square root of the mass, so quadrupling m doubles T to 1 s. Choice B scales the period linearly. Core: T ∝ √m for a spring oscillator.A lab circuit connects a 4 Ω resistor in series with a parallel pair of 6 Ω and 3 Ω across a 12 V battery. What total current leaves the battery?
Correct answer: A
The parallel branch gives R = (6×3)/(6+3) = 2 Ω, total 6 Ω, so I = 12/6 = 2 A. Core: simplify the parallel branch first.A lab electromagnet produces a uniform 0.2 T field. A straight wire 0.5 m long, perpendicular to the field, carries 4 A. What magnetic force acts on it?
Correct answer: E
F = BIL = 0.2 × 4 × 0.5 = 0.4 N. Choice A divides by the length instead of multiplying. Core: F = BIL when the current is perpendicular to the field.Two parallel plates 0.04 m apart hold a 120 V potential difference. What force acts on a 2×10-6 C charged ball placed between them?
Correct answer: B
Field E = V/d = 120/0.04 = 3000 V/m, then F = qE = 2×10-6 × 3000 = 6×10-3 N. Core: find E from V/d, then F = qE.A laser beam passes from air into optical glass of refractive index 1.6 at 53° to the normal (sin 53° ≈ 0.8). What is the refraction angle?
Correct answer: D
Snell's law: sinθ2 = sinθ1/n = 0.8/1.6 = 0.5, so θ2 = 30°. Core: the sine of the refraction angle equals the sine of the incidence angle divided by n.A sealed rigid can of gas sits at 1.0×105 Pa and 300 K. In the sun it warms to 450 K. What is the new pressure inside?
Correct answer: B
At constant volume P/T is fixed: P2 = 1.0×105 × 450/300 = 1.5×105 Pa; choice A inverts the ratio. Core: at fixed volume, pressure scales with kelvin temperature.A flywheel is a uniform disk of mass 2 kg and radius 0.5 m. A constant 5 N·m torque spins it about its central axis. What is the angular acceleration?
Correct answer: C
Disk inertia I = ½MR2 = 0.25 kg·m2, so α = τ/I = 5/0.25 = 20 rad/s2. Choice A wrongly uses I = MR2. Core: for a uniform disk I = ½MR2, and α = τ/I.A 0.4 m conducting rod slides along rails at a steady 5 m/s in a 0.3 T field perpendicular to the rail plane. What EMF is induced in the rod?
Correct answer: A
Motional EMF = BLv = 0.3 × 0.4 × 5 = 0.6 V; choice B drops the speed. Core: a rod cutting field lines at right angles generates EMF = BLv.In a double-slit experiment, 500 nm green laser light hits slits spaced 0.1 mm, with the screen 2 m away. What is the spacing between adjacent bright fringes?
Correct answer: E
Fringe spacing Δy = λL/d = (5×10-7 × 2)/(1×10-4) = 1×10-2 m = 1 cm. Core: Δy = λL/d, converting nm and mm to meters first.A photocathode has work function 2.0 eV. Violet light of wavelength 400 nm shines on it (hc = 1240 eV·nm). What is the maximum kinetic energy of the photoelectrons?
Correct answer: B
Photon energy E = hc/λ = 1240/400 = 3.1 eV, so KEmax = 3.1 − 2.0 = 1.1 eV; 3.1 eV forgets the work function and 5.1 eV adds it. Core: KE max equals photon energy minus the work function.A medical radioisotope has a half-life of 5 days. After 15 days of storage, what percentage of the original atoms remain?
Correct answer: C
Fifteen days is 3 half-lives, leaving (1/2)3 = 1/8 = 12.5%. Choice A counts four half-lives. Core: each half-life halves what remains.Unified Physics Bowl specs, consistent across years.
Division 1 is for first-year physics students (no calculus); Division 2 is for second-year and AP Physics C students. The two divisions are ranked and awarded separately — students must choose one and cannot take both. Pick based on your level; our advisor can help.
Four steps · Overview / Topics / Practice / Prep
Read the 2012 Physics Bowl overview and format specs to grasp the year’s style.
Review the key topics and weights, and locate your weak areas.
Complete the 25 mock questions; submit for auto-grading and right/wrong marks.
Open the step-by-step solutions, learn from mistakes, and scan for full papers to push for national and global rankings.
Prep tips and score-boosting advice for the 2012 Physics Bowl.
No formula sheet is provided, so you must reproduce the core formulas from mechanics to modern physics. Record the SI unit of each symbol as you memorize it, and unify units before substituting numbers.
Forty questions in 45 minutes means about 67 seconds each — pacing beats depth. Do full timed papers to calibrate your speed and bank time for the hardest items.
Reserve it for roots, trig and scientific notation; do unit conversions and algebra on paper first. Substituting into the calculator only at the last step keeps errors down.
Division 1 suits first-year and beginning students and avoids calculus; Division 2 suits second-year and AP Physics C students. The divisions rank and award separately, and you may enter only one.
Sort wrong answers into the five topic blocks and label the error type: wrong formula, unit slip, sign error or order of magnitude. Two repeats of the same type call for a focused drill before exam day.
Frequent questions about the 2012 Physics Bowl papers and answers.
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