Physics 30 Practice Set 1
Twenty diploma-style questions with diagrams, answers and worked solutions. Every question was written by ScholarAB. This is not an official Alberta Education examination.
Keep the official Physics 30 data sheets open while you work, since the real exam gives you the same sheets. Work each question on paper first, then open its answer.
- Momentum and impulse questions 1 to 3
- Forces and fields questions 4 to 10
- Electromagnetic radiation questions 11 to 15
- Atomic physics questions 16 to 20
During a game of crokinole, a 6.00 g disc sliding east at 1.50 m/s strikes an identical disc that is at rest. Friction during the collision can be ignored.
Vector arrows are not drawn to scale.
Show the answer to question 1
The answer is 1.15 m/s
- The discs have equal mass, so momentum is conserved in the velocities alone.
- After the collision Disc 1 has components 0.900 cos 50.0° = 0.579 m/s east and 0.900 sin 50.0° = 0.689 m/s north.
- Disc 2 carries the rest, 1.50 − 0.579 = 0.921 m/s east and 0.689 m/s south.
- Its speed is √(0.921² + 0.689²) = 1.15 m/s, at 36.8° south of east.
The statement above is completed by the information in row
| Row | i | ii |
|---|---|---|
| A. | elastic | the total momentum is the same before and after |
| B. | elastic | the total kinetic energy is the same before and after |
| C. | inelastic | the discs move apart at an angle |
| D. | inelastic | the total kinetic energy is less after the collision than before |
Show the answer to question 2
The answer is D
- Kinetic energy before is ½(0.00600 kg)(1.50 m/s)² = 6.75 × 10⁻³ J.
- After, it is ½(0.00600 kg)(0.900² + 1.15²) = 6.40 × 10⁻³ J, about 5% less, so the collision is inelastic.
- Row A is the trap. Momentum is conserved in every isolated collision, so it cannot tell elastic from inelastic.
A volleyball and a beanbag of equal mass hit a gym wall head on at the same speed. The volleyball bounces straight back with about the same speed. The beanbag stops and drops.
Show the answer to question 3
The answer is C
- Impulse equals the change in momentum.
- The beanbag goes from mv to zero, a change of mv. The volleyball reverses direction, a change of about 2mv.
- B is the trap. Equal momentum before impact says nothing about the change.
Two point charges are fixed 0.400 m apart. Point P is halfway between them.
Show the answer to question 4
The answer is 1126, for 1.12 × 10⁶ N/C
- Each charge is 0.200 m from P.
- The +3.00 μC charge gives (8.99 × 10⁹)(3.00 × 10⁻⁶) / 0.200² = 6.74 × 10⁵ N/C, pointing away from it, toward the negative charge.
- The −2.00 μC charge gives (8.99 × 10⁹)(2.00 × 10⁻⁶) / 0.200² = 4.50 × 10⁵ N/C, pointing toward it, which is the same direction.
- Fields in the same direction add, so the total is 1.12 × 10⁶ N/C. Subtracting them gives 2.25 × 10⁵, the most common wrong answer.
Show the answer to question 5
The answer is 1.93
- Kinetic energy before is ½(9.11 × 10⁻³¹ kg)(3.00 × 10⁶ m/s)² = 4.10 × 10⁻¹⁸ J.
- The field takes away qV = (1.60 × 10⁻¹⁹ C)(15.0 V) = 2.40 × 10⁻¹⁸ J, leaving 1.70 × 10⁻¹⁸ J.
- Then v = √(2 × 1.70 × 10⁻¹⁸ / 9.11 × 10⁻³¹) = 1.93 × 10⁶ m/s.
- Adding the energy instead of taking it away gives 3.78, a common slip when a field slows a charge down.
An electron moves toward the right side of the page through a uniform magnetic field that is directed out of the page.
Show the answer to question 6
The answer is A
- Use the left-hand rule for a negative charge, with the thumb along the velocity and the fingers along the field. The palm faces the top of the page.
- B is the answer for a positive charge.
- A magnetic force is always perpendicular to both the velocity and the field, which rules out C and D.
A straight horizontal wire that has a mass of 12.0 g and a length of 0.250 m lies between the poles of a magnet. The uniform magnetic field between the poles is horizontal, perpendicular to the wire, and has a magnitude of 0.300 T.
Show the answer to question 7
The answer is 1.57 A
- The forces balance when IlB = mg.
- I = (0.0120 kg)(9.81 m/s²) / ((0.250 m)(0.300 T)) = 1.57 A.
- Leaving the mass as 12.0 instead of 0.0120 kg gives an answer a thousand times too big.
An electronic air cleaner in a home furnace charges dust particles and then passes the air between two parallel metal plates that have a potential difference across them.
Show the answer to question 8
The answer is C
- Between parallel plates E = V/d. Halving d with V fixed doubles E, and F = qE, so the force doubles.
- D treats the plates like point charges with an inverse square law.
- B mixes up uniform with constant. The field is the same everywhere between the plates, but it still depends on V and d.
Some silicon wafers used in electronics are treated by firing protons into them. In one machine, protons start from rest, are accelerated through a potential difference of 5.00 kV, and then enter a uniform 0.0800 T magnetic field perpendicular to their velocity. The field bends the beam onto the wafer.
Show the answer to question 9
The answer is 12.8 cm
- Each proton gains qV = (1.60 × 10⁻¹⁹ C)(5.00 × 10³ V) = 8.00 × 10⁻¹⁶ J.
- So v = √(2 × 8.00 × 10⁻¹⁶ / 1.67 × 10⁻²⁷) = 9.79 × 10⁵ m/s.
- The magnetic force is the centripetal force, qvB = mv²/r, so r = mv/(qB) = (1.67 × 10⁻²⁷)(9.79 × 10⁵) / ((1.60 × 10⁻¹⁹)(0.0800)) = 0.128 m, or 12.8 cm.
- Reading 5.00 kV as 5.00 V gives 0.404 cm.
Show the answer to question 10
The answer is 25, or 52
- Principle 5, conservation of energy, turns qV into kinetic energy.
- Principle 2, uniform circular motion, sets the magnetic force equal to the centripetal force.
- Principle 3, the work energy theorem, describes the same first step, so 23 is a defensible answer too. Check how your teacher marks it.
Violet light that has a wavelength of 414 nm shines on a metal surface in the apparatus shown below. The work function of the metal is 2.10 eV.
Show the answer to question 11
The answer is 0.90 V
- Each photon has E = hc/λ = (4.14 × 10⁻¹⁵ eV·s)(3.00 × 10⁸ m/s) / (414 × 10⁻⁹ m) = 3.00 eV.
- The fastest photoelectrons leave with 3.00 − 2.10 = 0.90 eV, so the stopping voltage is 0.90 V.
Show the answer to question 12
The answer is B
- Brighter light means more photons each second, so more electrons each second and a greater current.
- Each photon still carries 3.00 eV, so the maximum kinetic energy of each electron does not change.
- A is what the wave model predicted, and the photoelectric effect is the experiment that disproved it.
A laser shines on a diffraction grating that has 600 lines per millimetre. The first-order bright lines appear on a screen at an angle of 22.3° from the central bright line.
The diagram is not drawn to scale.
Show the answer to question 13
The answer is 6327, for 6.32 × 10⁻⁷ m
- The slit spacing is d = 1 / (600 000 lines per metre) = 1.667 × 10⁻⁶ m.
- λ = d sin θ / n = (1.667 × 10⁻⁶ m)(sin 22.3°) / 1 = 6.32 × 10⁻⁷ m, red light.
- Forgetting to convert millimetres to metres gives an answer 1 000 times off.
A student places a small candle 10.0 cm from a converging lens that has a focal length of 15.0 cm.
| Row | Type | Orientation | Size compared with the candle |
|---|---|---|---|
| A. | real | inverted | larger |
| B. | virtual | upright | larger |
| C. | virtual | upright | smaller |
| D. | real | inverted | smaller |
Show the answer to question 14
The answer is B
- 1/di = 1/15.0 − 1/10.0 = −1/30.0, so di = −30.0 cm. A negative image distance means a virtual image on the candle side of the lens.
- The magnification is −di/do = 30.0/10.0 = 3.00, positive so upright, and three times larger. The lens is working as a magnifying glass.
- A is what happens once the candle is beyond the focal point.
A radio wave travels east across the prairie. At one instant, the electric field of the wave points straight up.
Show the answer to question 15
The answer is C
- In electromagnetic radiation the electric field, the magnetic field and the direction of travel are all perpendicular to each other.
- With travel east and the electric field vertical, the magnetic field lies along a north to south line.
- B would make it a longitudinal wave, and EMR is transverse.
Show the answer to question 16
The answer is B
- Moving from −9.80 eV to −5.66 eV takes 4.14 eV, which is less than 5.00 eV. The electron keeps the rest, 5.00 − 4.14 = 0.86 eV.
- Reaching n = 3 takes 6.60 eV, which is too much, and ionizing takes 9.80 eV.
- A is the trap. It is true for a photon, which must match a gap exactly. A colliding electron can give up just part of its energy.
Show the answer to question 17
The answer is 3.00
- The photon carries the 4.14 eV gap.
- λ = hc/E = (4.14 × 10⁻¹⁵ eV·s)(3.00 × 10⁸ m/s) / 4.14 eV = 3.00 × 10⁻⁷ m, in the ultraviolet.
Show the answer to question 18
The answer is D
- In beta-negative decay a neutron becomes a proton, so the atomic number rises from 1 to 2 and the mass number stays 3.
- Charge balances, +1 = +2 − 1, and so do nucleons, 3 = 3. The electron is always paired with an antineutrino.
- A pairs the electron with a neutrino. B balances but is neutron emission. C does not conserve charge.
Show the answer to question 19
The answer is 8.00 days (anything from 7.80 to 8.20 read from the graph)
- The activity starts at 640 kBq. Half of that, 320 kBq, is reached at 8.00 days.
- Check with a second halving. 160 kBq comes at 16.0 days, another 8.00 days later.
Show the answer to question 20
The answer is A
- Both reactions move toward the iron peak of the graph. Products that are more tightly bound per nucleon have less mass, and the lost mass is the energy released, E = mc².
- B reads the graph backwards. C breaks conservation of nucleons. D is the mass trap, because the products have less total mass.
Official practice from Alberta Education
Real released diploma questions and the exam blueprint are free on alberta.ca. Your school can also sign you in to the practice tests on the digital exam platform.