answer
string
choices
dict
id
string
kind
string
lang
string
question
string
steps
list
subject
string
text
string
topic
string
Rychlost je 300 m/s.
{ "A": "250 m/s", "B": "300 m/s", "C": "350 m/s", "D": "400 m/s" }
phy_0401
multiple_choice
cs
Vlna na struně má f = 150 Hz a λ = 2 m. Jaká je její rychlost?
[ "v = 150 Hz × 2 m.", "v = 300 m/s.", "Vyber možnost B." ]
physics
Answer: 300 m/s Steps: 1. v = 150 Hz × 2 m. 2. v = 300 m/s. 3. Vyber možnost B. Answer: (B)
waves
It dramatizes superposition at large scale, questioning measurement.
null
phy_0402
concept
en
Why Schrödinger's cat?
[ "It dramatizes superposition at large scale, questioning measurement.", "So the answer stands: It dramatizes superposition at large scale, questioning measurement." ]
physics
Answer: It dramatizes superposition at large scale, questioning measurement. Steps: 1. It dramatizes superposition at large scale, questioning measurement. 2. So the answer stands: It dramatizes superposition at large scale, questioning measurement.
modern
Work: 160 J.
null
phy_0403
worked_example
en
A force of 40 N pushes 4 m. Compute the work done.
[ "W = F×d.", "W = 40 N × 4 m.", "= 160 J." ]
physics
Answer: Work: 160 J. Steps: 1. W = F×d. 2. W = 40 N × 4 m. 3. = 160 J.
mechanics
U rovná se RI pro rezistory.
null
phy_0404
concept
cs
Proč Ohmův zákon?
[ "U rovná se RI pro rezistory.", "Odpověď tedy platí: U rovná se RI pro rezistory." ]
physics
Answer: U rovná se RI pro rezistory. Steps: 1. U rovná se RI pro rezistory. 2. Odpověď tedy platí: U rovná se RI pro rezistory.
electromagnetism
Heat: 66976 J.
null
phy_0405
worked_example
en
How much heat warms 2 kg of water by 8 K? (c = 4186 J/(kg·K))
[ "Q = 2 kg × 4186 J/(kg·K) × 8 K.", "= 66976 J." ]
physics
Answer: Heat: 66976 J. Steps: 1. Q = 2 kg × 4186 J/(kg·K) × 8 K. 2. = 66976 J.
thermodynamics
Apparent depth: 80 cm.
null
phy_0406
worked_example
en
An object sits 120 cm deep in glass (n = 1.5). Compute the apparent depth.
[ "d' = d/n.", "d' = 120 cm / 1.5.", "= 80 cm." ]
physics
Answer: Apparent depth: 80 cm. Steps: 1. d' = d/n. 2. d' = 120 cm / 1.5. 3. = 80 cm.
optics
Motion shifts heard frequency up approaching, down receding.
null
phy_0407
concept
en
What is the Doppler effect?
[ "Motion shifts heard frequency up approaching, down receding.", "So the answer stands: Motion shifts heard frequency up approaching, down receding." ]
physics
Answer: Motion shifts heard frequency up approaching, down receding. Steps: 1. Motion shifts heard frequency up approaching, down receding. 2. So the answer stands: Motion shifts heard frequency up approaching, down receding.
waves
Lines: 55.
null
phy_0408
worked_example
en
An atom is excited to level n = 11. Count the spectral lines it can emit.
[ "Pairs: 11×10/2.", "= 110/2.", "= 55." ]
physics
Answer: Lines: 55. Steps: 1. Pairs: 11×10/2. 2. = 110/2. 3. = 55.
modern
Speed is 13 m/s.
{ "A": "13 m/s", "B": "12 m/s", "C": "14 m/s", "D": "15 m/s" }
phy_0409
multiple_choice
en
A car travels 130 m in 10 s. What is its speed?
[ "v = 130 m / 10 s.", "v = 13 m/s.", "Select option A." ]
physics
Answer: 13 m/s Steps: 1. v = 130 m / 10 s. 2. v = 13 m/s. 3. Select option A. Answer: (A)
mechanics
Voltage: 96 V.
null
phy_0410
worked_example
en
A current of 8 A flows through 12 Ω. Compute the voltage.
[ "V = I×R.", "V = 8 A × 12 Ω.", "= 96 V." ]
physics
Answer: Voltage: 96 V. Steps: 1. V = I×R. 2. V = 8 A × 12 Ω. 3. = 96 V.
electromagnetism
Odpověď je entropie.
{ "A": "entropie", "B": "energie", "C": "hmotnost", "D": "náboj" }
phy_0411
multiple_choice
cs
Vyber: co nikdy neklesá izolovaně?
[ "Druhý zákon vládne.", "Tedy: entropie.", "Vyber možnost A." ]
physics
Answer: entropie Steps: 1. Druhý zákon vládne. 2. Tedy: entropie. 3. Vyber možnost A. Answer: (A)
thermodynamics
Magnification: 9×.
null
phy_0412
worked_example
en
An image forms 90 cm from a lens, object at 10 cm. Compute the magnification.
[ "M = di/do.", "M = 90 cm / 10 cm.", "= 9×." ]
physics
Answer: Magnification: 9×. Steps: 1. M = di/do. 2. M = 90 cm / 10 cm. 3. = 9×.
optics
Maximální výchylka, určuje hlasitost.
null
phy_0413
concept
cs
Co je amplituda?
[ "Maximální výchylka, určuje hlasitost.", "Odpověď tedy platí: Maximální výchylka, určuje hlasitost." ]
physics
Answer: Maximální výchylka, určuje hlasitost. Steps: 1. Maximální výchylka, určuje hlasitost. 2. Odpověď tedy platí: Maximální výchylka, určuje hlasitost.
waves
Odpověď je časoprostor.
{ "A": "kosmická loď", "B": "jízdní řád", "C": "pracovní stůl", "D": "časoprostor" }
phy_0414
multiple_choice
cs
Vyber: co se zakřivuje společně?
[ "c pevné pro všechny.", "Tedy: časoprostor.", "Vyber možnost D." ]
physics
Answer: časoprostor Steps: 1. c pevné pro všechny. 2. Tedy: časoprostor. 3. Vyber možnost D. Answer: (D)
modern
Kinetic energy is 49 J.
{ "A": "42 J", "B": "49 J", "C": "56 J", "D": "63 J" }
phy_0415
multiple_choice
en
A 2 kg ball moves at 7 m/s. What is its kinetic energy?
[ "KE = ½×2 kg×(7 m/s)².", "KE = 49 J.", "Select option B." ]
physics
Answer: 49 J Steps: 1. KE = ½×2 kg×(7 m/s)². 2. KE = 49 J. 3. Select option B. Answer: (B)
mechanics
Energy: 1200 J.
null
phy_0416
worked_example
en
A 100 W heater runs for 12 s. Compute the energy used.
[ "E = P×t.", "E = 100 W × 12 s.", "= 1200 J." ]
physics
Answer: Energy: 1200 J. Steps: 1. E = P×t. 2. E = 100 W × 12 s. 3. = 1200 J.
electromagnetism
Halving volume doubles pressure at fixed temperature, squeezing gas harder.
null
phy_0417
concept
en
Why Boyle's law?
[ "Halving volume doubles pressure at fixed temperature, squeezing gas harder.", "So the answer stands: Halving volume doubles pressure at fixed temperature, squeezing gas harder." ]
physics
Answer: Halving volume doubles pressure at fixed temperature, squeezing gas harder. Steps: 1. Halving volume doubles pressure at fixed temperature, squeezing gas harder. 2. So the answer stands: Halving volume doubles pressure at fixed temperature, squeezing gas harder.
thermodynamics
The answer is Total internal.
{ "A": "Partial entry", "B": "Gentle exit", "C": "Total internal", "D": "Soft landing" }
phy_0418
multiple_choice
en
Choose: what reflects all inside?
[ "Gems sparkle.", "So: Total internal.", "Select option C." ]
physics
Answer: Total internal Steps: 1. Gems sparkle. 2. So: Total internal. 3. Select option C. Answer: (C)
optics
Supersonic objects pile waves into one loud shock cone.
null
phy_0419
concept
en
Why sonic boom?
[ "Supersonic objects pile waves into one loud shock cone.", "So the answer stands: Supersonic objects pile waves into one loud shock cone." ]
physics
Answer: Supersonic objects pile waves into one loud shock cone. Steps: 1. Supersonic objects pile waves into one loud shock cone. 2. So the answer stands: Supersonic objects pile waves into one loud shock cone.
waves
Count: 15.
{ "A": "15", "B": "14", "C": "16", "D": "17" }
phy_0420
multiple_choice
en
An atom is excited to level n = 6. How many spectral lines can it emit?
[ "Pairs: 6×5/2.", "Lines: 15.", "Select option A." ]
physics
Answer: 15 Steps: 1. Pairs: 6×5/2. 2. Lines: 15. 3. Select option A. Answer: (A)
modern
Odpověď je nulová výsledná síla.
{ "A": "velké tření", "B": "silný vítr", "C": "hlasitý hluk", "D": "nulová výsledná síla" }
phy_0421
multiple_choice
cs
Vyber: co drží rychlost?
[ "První zákon vládne.", "Tedy: nulová výsledná síla.", "Vyber možnost D." ]
physics
Answer: nulová výsledná síla Steps: 1. První zákon vládne. 2. Tedy: nulová výsledná síla. 3. Vyber možnost D. Answer: (D)
mechanics
Alternating current reverses sinusoidally, suiting transformers and long lines.
null
phy_0422
concept
en
What is AC?
[ "Alternating current reverses sinusoidally, suiting transformers and long lines.", "So the answer stands: Alternating current reverses sinusoidally, suiting transformers and long lines." ]
physics
Answer: Alternating current reverses sinusoidally, suiting transformers and long lines. Steps: 1. Alternating current reverses sinusoidally, suiting transformers and long lines. 2. So the answer stands: Alternating current reverses sinusoidally, suiting transformers and long lines.
electromagnetism
The answer is Ideal gas.
{ "A": "Real solid", "B": "Cold plasma", "C": "Ideal gas", "D": "Dark matter" }
phy_0423
multiple_choice
en
Choose: what obeys pV=nRT?
[ "Points collide elastic.", "So: Ideal gas.", "Select option C." ]
physics
Answer: Ideal gas Steps: 1. Points collide elastic. 2. So: Ideal gas. 3. Select option C. Answer: (C)
thermodynamics
Odpověď je hranol.
{ "A": "hranol", "B": "zrcadlo", "C": "čočka", "D": "stínítko" }
phy_0424
multiple_choice
cs
Vyber: co dělí bílé?
[ "Barvy rozvějířeny.", "Tedy: hranol.", "Vyber možnost A." ]
physics
Answer: hranol Steps: 1. Barvy rozvějířeny. 2. Tedy: hranol. 3. Vyber možnost A. Answer: (A)
optics
Matched driving builds huge oscillation, tuning instruments and bridges.
null
phy_0425
concept
en
What is resonance?
[ "Matched driving builds huge oscillation, tuning instruments and bridges.", "So the answer stands: Matched driving builds huge oscillation, tuning instruments and bridges." ]
physics
Answer: Matched driving builds huge oscillation, tuning instruments and bridges. Steps: 1. Matched driving builds huge oscillation, tuning instruments and bridges. 2. So the answer stands: Matched driving builds huge oscillation, tuning instruments and bridges.
waves
Particles leak through forbidden barriers, powering suns and chips.
null
phy_0426
concept
en
What is tunnelling?
[ "Particles leak through forbidden barriers, powering suns and chips.", "So the answer stands: Particles leak through forbidden barriers, powering suns and chips." ]
physics
Answer: Particles leak through forbidden barriers, powering suns and chips. Steps: 1. Particles leak through forbidden barriers, powering suns and chips. 2. So the answer stands: Particles leak through forbidden barriers, powering suns and chips.
modern
Stored energy like mgh waits to convert, powering falls and springs.
null
phy_0427
concept
en
What is potential energy?
[ "Stored energy like mgh waits to convert, powering falls and springs.", "So the answer stands: Stored energy like mgh waits to convert, powering falls and springs." ]
physics
Answer: Stored energy like mgh waits to convert, powering falls and springs. Steps: 1. Stored energy like mgh waits to convert, powering falls and springs. 2. So the answer stands: Stored energy like mgh waits to convert, powering falls and springs.
mechanics
Power: 243 W.
null
phy_0428
worked_example
en
A current of 9 A flows through 3 Ω. Compute the dissipated power.
[ "P = I²×R.", "P = (9 A)² × 3 Ω.", "= 243 W." ]
physics
Answer: Power: 243 W. Steps: 1. P = I²×R. 2. P = (9 A)² × 3 Ω. 3. = 243 W.
electromagnetism
Power: 120 W.
null
phy_0429
worked_example
en
An engine does 1200 J of work in 10 s. Compute its power.
[ "P = W/t.", "P = 1200 J / 10 s.", "= 120 W." ]
physics
Answer: Power: 120 W. Steps: 1. P = W/t. 2. P = 1200 J / 10 s. 3. = 120 W.
thermodynamics
Time: 7.3 s.
null
phy_0430
worked_example
en
Light travels 22×10⁸ m. Compute the travel time. (c = 3×10⁸ m/s)
[ "t = d/c.", "t = 22×10⁸ / 3×10⁸ s.", "= 7.3 s." ]
physics
Answer: Time: 7.3 s. Steps: 1. t = d/c. 2. t = 22×10⁸ / 3×10⁸ s. 3. = 7.3 s.
optics
Period is 0.2 s.
{ "A": "0.2 s", "B": "0.17 s", "C": "0.14 s", "D": "0.25 s" }
phy_0431
multiple_choice
en
A wave has frequency 5 Hz. What is its period?
[ "T = 1 / 5 Hz.", "T = 0.2 s.", "Select option A." ]
physics
Answer: 0.2 s Steps: 1. T = 1 / 5 Hz. 2. T = 0.2 s. 3. Select option A. Answer: (A)
waves
Hmotnost je zmrazená energie.
null
phy_0432
concept
cs
Proč E rovná se mc²?
[ "Hmotnost je zmrazená energie.", "Odpověď tedy platí: Hmotnost je zmrazená energie." ]
physics
Answer: Hmotnost je zmrazená energie. Steps: 1. Hmotnost je zmrazená energie. 2. Odpověď tedy platí: Hmotnost je zmrazená energie.
modern
The answer is Friction.
{ "A": "Gravity", "B": "Inertia", "C": "Friction", "D": "Vacuum" }
phy_0433
multiple_choice
en
Choose: what opposes sliding?
[ "Surfaces grip.", "So: Friction.", "Select option C." ]
physics
Answer: Friction Steps: 1. Surfaces grip. 2. So: Friction. 3. Select option C. Answer: (C)
mechanics
Energie: 600 J.
null
phy_0434
worked_example
cs
Topidlo 100 W běží po 6 s. Spočítej spotřebovanou energii.
[ "E = P×t.", "E = 100 W × 6 s.", "= 600 J." ]
physics
Answer: Energie: 600 J. Steps: 1. E = P×t. 2. E = 100 W × 6 s. 3. = 600 J.
electromagnetism
Temperature: 296 K.
null
phy_0435
worked_example
en
Temperature is 23 °C. Convert it to kelvin.
[ "Add 273.", "23 + 273.", "= 296 K." ]
physics
Answer: Temperature: 296 K. Steps: 1. Add 273. 2. 23 + 273. 3. = 296 K.
thermodynamics
The answer is Fibre optics.
{ "A": "Copper bells", "B": "Smoke signals", "C": "Carrier owls", "D": "Fibre optics" }
phy_0436
multiple_choice
en
Choose: what pipes internet?
[ "Light guided far.", "So: Fibre optics.", "Select option D." ]
physics
Answer: Fibre optics Steps: 1. Light guided far. 2. So: Fibre optics. 3. Select option D. Answer: (D)
optics
Distance: 3400 m.
null
phy_0437
worked_example
en
Thunder is heard 10 s after lightning. How far away is the storm? (v = 340 m/s)
[ "d = v×t.", "d = 340 m/s × 10 s.", "= 3400 m." ]
physics
Answer: Distance: 3400 m. Steps: 1. d = v×t. 2. d = 340 m/s × 10 s. 3. = 3400 m.
waves
Mass number: 21.
null
phy_0438
worked_example
en
A nucleus has 10 protons and 11 neutrons. Compute its mass number.
[ "A = Z+N.", "A = 10 + 11.", "= 21." ]
physics
Answer: Mass number: 21. Steps: 1. A = Z+N. 2. A = 10 + 11. 3. = 21.
modern
The answer is Torque.
{ "A": "Work", "B": "Power", "C": "Energy", "D": "Torque" }
phy_0439
multiple_choice
en
Choose: what twists rotations?
[ "Lever arm matters.", "So: Torque.", "Select option D." ]
physics
Answer: Torque Steps: 1. Lever arm matters. 2. So: Torque. 3. Select option D. Answer: (D)
mechanics
Root-mean-square matches AC heating to DC, quoting fair 230 V mains.
null
phy_0440
concept
en
Why RMS values?
[ "Root-mean-square matches AC heating to DC, quoting fair 230 V mains.", "So the answer stands: Root-mean-square matches AC heating to DC, quoting fair 230 V mains." ]
physics
Answer: Root-mean-square matches AC heating to DC, quoting fair 230 V mains. Steps: 1. Root-mean-square matches AC heating to DC, quoting fair 230 V mains. 2. So the answer stands: Root-mean-square matches AC heating to DC, quoting fair 230 V mains.
electromagnetism
Temperature is 296 K.
{ "A": "295 K", "B": "297 K", "C": "298 K", "D": "296 K" }
phy_0441
multiple_choice
en
Room temperature is 23 °C. What is it in kelvin?
[ "23 °C + 273.", "= 296 K.", "Select option D." ]
physics
Answer: 296 K Steps: 1. 23 °C + 273. 2. = 296 K. 3. Select option D. Answer: (D)
thermodynamics
Particles redirect light by size, blue skies from tiny air molecules.
null
phy_0442
concept
en
What is scattering?
[ "Particles redirect light by size, blue skies from tiny air molecules.", "So the answer stands: Particles redirect light by size, blue skies from tiny air molecules." ]
physics
Answer: Particles redirect light by size, blue skies from tiny air molecules. Steps: 1. Particles redirect light by size, blue skies from tiny air molecules. 2. So the answer stands: Particles redirect light by size, blue skies from tiny air molecules.
optics
Perioda je 0,33 s.
{ "A": "0,25 s", "B": "0,2 s", "C": "0,33 s", "D": "0,5 s" }
phy_0443
multiple_choice
cs
Vlna má frekvenci 3 Hz. Jaká je její perioda?
[ "T = 1 / 3 Hz.", "T = 0,33 s.", "Vyber možnost C." ]
physics
Answer: 0,33 s Steps: 1. T = 1 / 3 Hz. 2. T = 0,33 s. 3. Vyber možnost C. Answer: (C)
waves
Survivors: 1800.
null
phy_0444
worked_example
en
A sample of 7200 atoms undergoes 2 half-lives. Compute the survivors.
[ "Halve: 7200 → 3600.", "Halve: 3600 → 1800.", "= 1800." ]
physics
Answer: Survivors: 1800. Steps: 1. Halve: 7200 → 3600. 2. Halve: 3600 → 1800. 3. = 1800.
modern
Momentum: 33 kg·m/s.
null
phy_0445
worked_example
en
A mass of 11 kg moves at 3 m/s. Compute its momentum.
[ "p = m×v.", "p = 11 kg × 3 m/s.", "= 33 kg·m/s." ]
physics
Answer: Momentum: 33 kg·m/s. Steps: 1. p = m×v. 2. p = 11 kg × 3 m/s. 3. = 33 kg·m/s.
mechanics
Výkon: 27 W.
null
phy_0446
worked_example
cs
Proud 3 A teče přes 3 Ω. Spočítej ztrátový výkon.
[ "P = I²×R.", "P = (3 A)² × 3 Ω.", "= 27 W." ]
physics
Answer: Výkon: 27 W. Steps: 1. P = I²×R. 2. P = (3 A)² × 3 Ω. 3. = 27 W.
electromagnetism
Heat needed is 20930 J.
{ "A": "20930 J", "B": "16744 J", "C": "25116 J", "D": "29302 J" }
phy_0447
multiple_choice
en
How much heat warms 1 kg of water by 5 K? (c = 4186 J/(kg·K))
[ "Q = 1 kg × 4186 J/(kg·K) × 5 K.", "Q = 20930 J.", "Select option A." ]
physics
Answer: 20930 J Steps: 1. Q = 1 kg × 4186 J/(kg·K) × 5 K. 2. Q = 20930 J. 3. Select option A. Answer: (A)
thermodynamics
Apparent depth: 90 cm.
null
phy_0448
worked_example
en
An object sits 135 cm deep in glass (n = 1.5). Compute the apparent depth.
[ "d' = d/n.", "d' = 135 cm / 1.5.", "= 90 cm." ]
physics
Answer: Apparent depth: 90 cm. Steps: 1. d' = d/n. 2. d' = 135 cm / 1.5. 3. = 90 cm.
optics
Je sekund na cyklus, převrácená frekvence.
null
phy_0449
concept
cs
Proč perioda?
[ "Je sekund na cyklus, převrácená frekvence.", "Odpověď tedy platí: Je sekund na cyklus, převrácená frekvence." ]
physics
Answer: Je sekund na cyklus, převrácená frekvence. Steps: 1. Je sekund na cyklus, převrácená frekvence. 2. Odpověď tedy platí: Je sekund na cyklus, převrácená frekvence.
waves
Mass number is 10.
{ "A": "9", "B": "10", "C": "11", "D": "12" }
phy_0450
multiple_choice
en
A nucleus has 5 protons and 5 neutrons. What is its mass number?
[ "A = 5 + 5.", "A = 10.", "Select option B." ]
physics
Answer: 10 Steps: 1. A = 5 + 5. 2. A = 10. 3. Select option B. Answer: (B)
modern
Net force: 20 N.
null
phy_0451
worked_example
en
A mass of 10 kg accelerates at 2 m/s². Compute the net force.
[ "F = m×a.", "F = 10 kg × 2 m/s².", "= 20 N." ]
physics
Answer: Net force: 20 N. Steps: 1. F = m×a. 2. F = 10 kg × 2 m/s². 3. = 20 N.
mechanics
The answer is Maxwell's equations.
{ "A": "Newton's laws", "B": "Kepler's laws", "C": "Maxwell's equations", "D": "Ohm's laws" }
phy_0452
multiple_choice
en
Choose: what unifies four laws?
[ "Light predicted.", "So: Maxwell's equations.", "Select option C." ]
physics
Answer: Maxwell's equations Steps: 1. Light predicted. 2. So: Maxwell's equations. 3. Select option C. Answer: (C)
electromagnetism
Volume grows with Kelvin temperature at fixed pressure, expanding balloons.
null
phy_0453
concept
en
What is Charles's law?
[ "Volume grows with Kelvin temperature at fixed pressure, expanding balloons.", "So the answer stands: Volume grows with Kelvin temperature at fixed pressure, expanding balloons." ]
physics
Answer: Volume grows with Kelvin temperature at fixed pressure, expanding balloons. Steps: 1. Volume grows with Kelvin temperature at fixed pressure, expanding balloons. 2. So the answer stands: Volume grows with Kelvin temperature at fixed pressure, expanding balloons.
thermodynamics
Zvětšení je 3×.
{ "A": "2×", "B": "3×", "C": "4×", "D": "5×" }
phy_0454
multiple_choice
cs
Obraz vzniká 30 cm od čočky, předmět v 10 cm. Jaké je zvětšení?
[ "M = 30 cm / 10 cm.", "M = 3×.", "Vyber možnost B." ]
physics
Answer: 3× Steps: 1. M = 30 cm / 10 cm. 2. M = 3×. 3. Vyber možnost B. Answer: (B)
optics
3rd harmonic is 420 Hz.
{ "A": "390 Hz", "B": "420 Hz", "C": "450 Hz", "D": "480 Hz" }
phy_0455
multiple_choice
en
A string's fundamental is 140 Hz. What is its 3rd harmonic?
[ "f3 = 3 × 140 Hz.", "f3 = 420 Hz.", "Select option B." ]
physics
Answer: 420 Hz Steps: 1. f3 = 3 × 140 Hz. 2. f3 = 420 Hz. 3. Select option B. Answer: (B)
waves
Lines: 66.
null
phy_0456
worked_example
en
An atom is excited to level n = 12. Count the spectral lines it can emit.
[ "Pairs: 12×11/2.", "= 132/2.", "= 66." ]
physics
Answer: Lines: 66. Steps: 1. Pairs: 12×11/2. 2. = 132/2. 3. = 66.
modern
Work: 180 J.
null
phy_0457
worked_example
en
A force of 45 N pushes 4 m. Compute the work done.
[ "W = F×d.", "W = 45 N × 4 m.", "= 180 J." ]
physics
Answer: Work: 180 J. Steps: 1. W = F×d. 2. W = 45 N × 4 m. 3. = 180 J.
mechanics
Napětí: 36 V.
null
phy_0458
worked_example
cs
Proud 3 A teče přes 12 Ω. Spočítej napětí.
[ "U = I×R.", "U = 3 A × 12 Ω.", "= 36 V." ]
physics
Answer: Napětí: 36 V. Steps: 1. U = I×R. 2. U = 3 A × 12 Ω. 3. = 36 V.
electromagnetism
Srážející se částice předávají energii.
null
phy_0459
concept
cs
Proč vedení tepla?
[ "Srážející se částice předávají energii.", "Odpověď tedy platí: Srážející se částice předávají energii." ]
physics
Answer: Srážející se částice předávají energii. Steps: 1. Srážející se částice předávají energii. 2. Odpověď tedy platí: Srážející se částice předávají energii.
thermodynamics
Magnification: 10×.
null
phy_0460
worked_example
en
An image forms 100 cm from a lens, object at 10 cm. Compute the magnification.
[ "M = di/do.", "M = 100 cm / 10 cm.", "= 10×." ]
physics
Answer: Magnification: 10×. Steps: 1. M = di/do. 2. M = 100 cm / 10 cm. 3. = 10×.
optics
3rd harmonic: 540 Hz.
null
phy_0461
worked_example
en
A string's fundamental is 180 Hz. Compute its 3rd harmonic.
[ "f3 = 3×f1.", "f3 = 3 × 180 Hz.", "= 540 Hz." ]
physics
Answer: 3rd harmonic: 540 Hz. Steps: 1. f3 = 3×f1. 2. f3 = 3 × 180 Hz. 3. = 540 Hz.
waves
Mass number: 23.
null
phy_0462
worked_example
en
A nucleus has 11 protons and 12 neutrons. Compute its mass number.
[ "A = Z+N.", "A = 11 + 12.", "= 23." ]
physics
Answer: Mass number: 23. Steps: 1. A = Z+N. 2. A = 11 + 12. 3. = 23.
modern
Net force is 18 N.
{ "A": "18 N", "B": "15 N", "C": "21 N", "D": "24 N" }
phy_0463
multiple_choice
en
A mass of 6 kg accelerates at 3 m/s². What is the net force?
[ "F = 6 kg × 3 m/s².", "F = 18 N.", "Select option A." ]
physics
Answer: 18 N Steps: 1. F = 6 kg × 3 m/s². 2. F = 18 N. 3. Select option A. Answer: (A)
mechanics
Voltage is 25 V.
{ "A": "20 V", "B": "30 V", "C": "35 V", "D": "25 V" }
phy_0464
multiple_choice
en
A current of 5 A flows through 5 Ω. What is the voltage?
[ "V = 5 A × 5 Ω.", "V = 25 V.", "Select option D." ]
physics
Answer: 25 V Steps: 1. V = 5 A × 5 Ω. 2. V = 25 V. 3. Select option D. Answer: (D)
electromagnetism
Heat: 75348 J.
null
phy_0465
worked_example
en
How much heat warms 2 kg of water by 9 K? (c = 4186 J/(kg·K))
[ "Q = 2 kg × 4186 J/(kg·K) × 9 K.", "= 75348 J." ]
physics
Answer: Heat: 75348 J. Steps: 1. Q = 2 kg × 4186 J/(kg·K) × 9 K. 2. = 75348 J.
thermodynamics
Time: 8.3 s.
null
phy_0466
worked_example
en
Light travels 25×10⁸ m. Compute the travel time. (c = 3×10⁸ m/s)
[ "t = d/c.", "t = 25×10⁸ / 3×10⁸ s.", "= 8.3 s." ]
physics
Answer: Time: 8.3 s. Steps: 1. t = d/c. 2. t = 25×10⁸ / 3×10⁸ s. 3. = 8.3 s.
optics
Speed: 1950 m/s.
null
phy_0467
worked_example
en
A string wave has f = 650 Hz and λ = 3 m. Compute its speed.
[ "v = f×λ.", "v = 650 Hz × 3 m.", "= 1950 m/s." ]
physics
Answer: Speed: 1950 m/s. Steps: 1. v = f×λ. 2. v = 650 Hz × 3 m. 3. = 1950 m/s.
waves
The answer is Superposition.
{ "A": "Superscription", "B": "Superstition", "C": "Superposition", "D": "Supervision" }
phy_0468
multiple_choice
en
Choose: what blends till measured?
[ "One outcome picked.", "So: Superposition.", "Select option C." ]
physics
Answer: Superposition Steps: 1. One outcome picked. 2. So: Superposition. 3. Select option C. Answer: (C)
modern
Momentum: 36 kg·m/s.
null
phy_0469
worked_example
en
A mass of 12 kg moves at 3 m/s. Compute its momentum.
[ "p = m×v.", "p = 12 kg × 3 m/s.", "= 36 kg·m/s." ]
physics
Answer: Momentum: 36 kg·m/s. Steps: 1. p = m×v. 2. p = 12 kg × 3 m/s. 3. = 36 kg·m/s.
mechanics
Power is 72 W.
{ "A": "72 W", "B": "60 W", "C": "84 W", "D": "96 W" }
phy_0470
multiple_choice
en
A bulb runs at 12 V drawing 6 A. What is its power?
[ "P = 12 V × 6 A.", "P = 72 W.", "Select option A." ]
physics
Answer: 72 W Steps: 1. P = 12 V × 6 A. 2. P = 72 W. 3. Select option A. Answer: (A)
electromagnetism
Teplota je 294 K.
{ "A": "293 K", "B": "294 K", "C": "295 K", "D": "296 K" }
phy_0471
multiple_choice
cs
Pokojová teplota je 21 °C. Kolik je to kelvinů?
[ "21 °C + 273.", "= 294 K.", "Vyber možnost B." ]
physics
Answer: 294 K Steps: 1. 21 °C + 273. 2. = 294 K. 3. Vyber možnost B. Answer: (B)
thermodynamics
Zvětšení: 5×.
null
phy_0472
worked_example
cs
Obraz vzniká 50 cm od čočky, předmět v 10 cm. Spočítej zvětšení.
[ "M = di/do.", "M = 50 cm / 10 cm.", "= 5×." ]
physics
Answer: Zvětšení: 5×. Steps: 1. M = di/do. 2. M = 50 cm / 10 cm. 3. = 5×.
optics
Reflected waves lock into fixed nodes, forming musical notes.
null
phy_0473
concept
en
Why standing waves?
[ "Reflected waves lock into fixed nodes, forming musical notes.", "So the answer stands: Reflected waves lock into fixed nodes, forming musical notes." ]
physics
Answer: Reflected waves lock into fixed nodes, forming musical notes. Steps: 1. Reflected waves lock into fixed nodes, forming musical notes. 2. So the answer stands: Reflected waves lock into fixed nodes, forming musical notes.
waves
Nukleonové číslo: 9.
null
phy_0474
worked_example
cs
Jádro má 4 protonů a 5 neutronů. Spočítej jeho nukleonové číslo.
[ "A = Z+N.", "A = 4 + 5.", "= 9." ]
physics
Answer: Nukleonové číslo: 9. Steps: 1. A = Z+N. 2. A = 4 + 5. 3. = 9.
modern
Speed is 14 m/s.
{ "A": "13 m/s", "B": "14 m/s", "C": "15 m/s", "D": "16 m/s" }
phy_0475
multiple_choice
en
A car travels 140 m in 10 s. What is its speed?
[ "v = 140 m / 10 s.", "v = 14 m/s.", "Select option B." ]
physics
Answer: 14 m/s Steps: 1. v = 140 m / 10 s. 2. v = 14 m/s. 3. Select option B. Answer: (B)
mechanics
Voltage: 108 V.
null
phy_0476
worked_example
en
A current of 9 A flows through 12 Ω. Compute the voltage.
[ "V = I×R.", "V = 9 A × 12 Ω.", "= 108 V." ]
physics
Answer: Voltage: 108 V. Steps: 1. V = I×R. 2. V = 9 A × 12 Ω. 3. = 108 V.
electromagnetism
One mole holds 6.02e23 particles, bridging atoms to grams.
null
phy_0477
concept
en
Why Avogadro's number?
[ "One mole holds 6.02e23 particles, bridging atoms to grams.", "So the answer stands: One mole holds 6.02e23 particles, bridging atoms to grams." ]
physics
Answer: One mole holds 6.02e23 particles, bridging atoms to grams. Steps: 1. One mole holds 6.02e23 particles, bridging atoms to grams. 2. So the answer stands: One mole holds 6.02e23 particles, bridging atoms to grams.
thermodynamics
Apparent depth: 100 cm.
null
phy_0478
worked_example
en
An object sits 150 cm deep in glass (n = 1.5). Compute the apparent depth.
[ "d' = d/n.", "d' = 150 cm / 1.5.", "= 100 cm." ]
physics
Answer: Apparent depth: 100 cm. Steps: 1. d' = d/n. 2. d' = 150 cm / 1.5. 3. = 100 cm.
optics
Integer multiples of the fundamental ring together, colouring timbre.
null
phy_0479
concept
en
What are harmonics?
[ "Integer multiples of the fundamental ring together, colouring timbre.", "So the answer stands: Integer multiples of the fundamental ring together, colouring timbre." ]
physics
Answer: Integer multiples of the fundamental ring together, colouring timbre. Steps: 1. Integer multiples of the fundamental ring together, colouring timbre. 2. So the answer stands: Integer multiples of the fundamental ring together, colouring timbre.
waves
Stimulated emission clones photons identically, a pure quantum device.
null
phy_0480
concept
en
Why lasers quantum?
[ "Stimulated emission clones photons identically, a pure quantum device.", "So the answer stands: Stimulated emission clones photons identically, a pure quantum device." ]
physics
Answer: Stimulated emission clones photons identically, a pure quantum device. Steps: 1. Stimulated emission clones photons identically, a pure quantum device. 2. So the answer stands: Stimulated emission clones photons identically, a pure quantum device.
modern
Net force: 22 N.
null
phy_0481
worked_example
en
A mass of 11 kg accelerates at 2 m/s². Compute the net force.
[ "F = m×a.", "F = 11 kg × 2 m/s².", "= 22 N." ]
physics
Answer: Net force: 22 N. Steps: 1. F = m×a. 2. F = 11 kg × 2 m/s². 3. = 22 N.
mechanics
Impedance extends resistance to AC with phase, combining R, L, and C.
null
phy_0482
concept
en
What is impedance?
[ "Impedance extends resistance to AC with phase, combining R, L, and C.", "So the answer stands: Impedance extends resistance to AC with phase, combining R, L, and C." ]
physics
Answer: Impedance extends resistance to AC with phase, combining R, L, and C. Steps: 1. Impedance extends resistance to AC with phase, combining R, L, and C. 2. So the answer stands: Impedance extends resistance to AC with phase, combining R, L, and C.
electromagnetism
Power: 130 W.
null
phy_0483
worked_example
en
An engine does 1300 J of work in 10 s. Compute its power.
[ "P = W/t.", "P = 1300 J / 10 s.", "= 130 W." ]
physics
Answer: Power: 130 W. Steps: 1. P = W/t. 2. P = 1300 J / 10 s. 3. = 130 W.
thermodynamics
Magnification: 11×.
null
phy_0484
worked_example
en
An image forms 110 cm from a lens, object at 10 cm. Compute the magnification.
[ "M = di/do.", "M = 110 cm / 10 cm.", "= 11×." ]
physics
Answer: Magnification: 11×. Steps: 1. M = di/do. 2. M = 110 cm / 10 cm. 3. = 11×.
optics
Near frequencies alternate loud and soft at their difference rate.
null
phy_0485
concept
en
Why beats?
[ "Near frequencies alternate loud and soft at their difference rate.", "So the answer stands: Near frequencies alternate loud and soft at their difference rate." ]
physics
Answer: Near frequencies alternate loud and soft at their difference rate. Steps: 1. Near frequencies alternate loud and soft at their difference rate. 2. So the answer stands: Near frequencies alternate loud and soft at their difference rate.
waves
Survivors: 2000.
null
phy_0486
worked_example
en
A sample of 8000 atoms undergoes 2 half-lives. Compute the survivors.
[ "Halve: 8000 → 4000.", "Halve: 4000 → 2000.", "= 2000." ]
physics
Answer: Survivors: 2000. Steps: 1. Halve: 8000 → 4000. 2. Halve: 4000 → 2000. 3. = 2000.
modern
Isolated total energy never changes form-sum, so accounting always balances.
null
phy_0487
concept
en
Why conserve energy?
[ "Isolated total energy never changes form-sum, so accounting always balances.", "So the answer stands: Isolated total energy never changes form-sum, so accounting always balances." ]
physics
Answer: Isolated total energy never changes form-sum, so accounting always balances. Steps: 1. Isolated total energy never changes form-sum, so accounting always balances. 2. So the answer stands: Isolated total energy never changes form-sum, so accounting always balances.
mechanics
Charge is 100 C.
{ "A": "80 C", "B": "100 C", "C": "120 C", "D": "140 C" }
phy_0488
multiple_choice
en
A current of 4 A flows for 25 s. How much charge passes?
[ "Q = 4 A × 25 s.", "Q = 100 C.", "Select option B." ]
physics
Answer: 100 C Steps: 1. Q = 4 A × 25 s. 2. Q = 100 C. 3. Select option B. Answer: (B)
electromagnetism
Temperature: 297 K.
null
phy_0489
worked_example
en
Temperature is 24 °C. Convert it to kelvin.
[ "Add 273.", "24 + 273.", "= 297 K." ]
physics
Answer: Temperature: 297 K. Steps: 1. Add 273. 2. 24 + 273. 3. = 297 K.
thermodynamics
Magnification is 6×.
{ "A": "6×", "B": "5×", "C": "7×", "D": "8×" }
phy_0490
multiple_choice
en
An image forms 60 cm from a lens, object at 10 cm. What is the magnification?
[ "M = 60 cm / 10 cm.", "M = 6×.", "Select option A." ]
physics
Answer: 6× Steps: 1. M = 60 cm / 10 cm. 2. M = 6×. 3. Select option A. Answer: (A)
optics
Log loudness scale where +10 dB means ten times the power.
null
phy_0491
concept
en
What is the decibel?
[ "Log loudness scale where +10 dB means ten times the power.", "So the answer stands: Log loudness scale where +10 dB means ten times the power." ]
physics
Answer: Log loudness scale where +10 dB means ten times the power. Steps: 1. Log loudness scale where +10 dB means ten times the power. 2. So the answer stands: Log loudness scale where +10 dB means ten times the power.
waves
Lines: 78.
null
phy_0492
worked_example
en
An atom is excited to level n = 13. Count the spectral lines it can emit.
[ "Pairs: 13×12/2.", "= 156/2.", "= 78." ]
physics
Answer: Lines: 78. Steps: 1. Pairs: 13×12/2. 2. = 156/2. 3. = 78.
modern
Power is energy per time in watts, rating how fast work gets done.
null
phy_0493
concept
en
What is power?
[ "Power is energy per time in watts, rating how fast work gets done.", "So the answer stands: Power is energy per time in watts, rating how fast work gets done." ]
physics
Answer: Power is energy per time in watts, rating how fast work gets done. Steps: 1. Power is energy per time in watts, rating how fast work gets done. 2. So the answer stands: Power is energy per time in watts, rating how fast work gets done.
mechanics
Energy: 1300 J.
null
phy_0494
worked_example
en
A 100 W heater runs for 13 s. Compute the energy used.
[ "E = P×t.", "E = 100 W × 13 s.", "= 1300 J." ]
physics
Answer: Energy: 1300 J. Steps: 1. E = P×t. 2. E = 100 W × 13 s. 3. = 1300 J.
electromagnetism
Zachování energie pro teplo a práci.
null
phy_0495
concept
cs
Co je první zákon?
[ "Zachování energie pro teplo a práci.", "Odpověď tedy platí: Zachování energie pro teplo a práci." ]
physics
Answer: Zachování energie pro teplo a práci. Steps: 1. Zachování energie pro teplo a práci. 2. Odpověď tedy platí: Zachování energie pro teplo a práci.
thermodynamics
Čas: 3,3 s.
null
phy_0496
worked_example
cs
Světlo letí 10×10⁸ m. Spočítej dobu letu. (c = 3×10⁸ m/s)
[ "t = d/c.", "t = 10×10⁸ / 3×10⁸ s.", "= 3,3 s." ]
physics
Answer: Čas: 3,3 s. Steps: 1. t = d/c. 2. t = 10×10⁸ / 3×10⁸ s. 3. = 3,3 s.
optics
Rychlost: 900 m/s.
null
phy_0497
worked_example
cs
Vlna na struně má f = 300 Hz a λ = 3 m. Spočítej její rychlost.
[ "v = f×λ.", "v = 300 Hz × 3 m.", "= 900 m/s." ]
physics
Answer: Rychlost: 900 m/s. Steps: 1. v = f×λ. 2. v = 300 Hz × 3 m. 3. = 900 m/s.
waves
Hmota stlačená za horizontem chytí i světlo.
null
phy_0498
concept
cs
Co je černá díra?
[ "Hmota stlačená za horizontem chytí i světlo.", "Odpověď tedy platí: Hmota stlačená za horizontem chytí i světlo." ]
physics
Answer: Hmota stlačená za horizontem chytí i světlo. Steps: 1. Hmota stlačená za horizontem chytí i světlo. 2. Odpověď tedy platí: Hmota stlačená za horizontem chytí i světlo.
modern
Work: 200 J.
null
phy_0499
worked_example
en
A force of 50 N pushes 4 m. Compute the work done.
[ "W = F×d.", "W = 50 N × 4 m.", "= 200 J." ]
physics
Answer: Work: 200 J. Steps: 1. W = F×d. 2. W = 50 N × 4 m. 3. = 200 J.
mechanics
Energie: 700 J.
null
phy_0500
worked_example
cs
Topidlo 100 W běží po 7 s. Spočítej spotřebovanou energii.
[ "E = P×t.", "E = 100 W × 7 s.", "= 700 J." ]
physics
Answer: Energie: 700 J. Steps: 1. E = P×t. 2. E = 100 W × 7 s. 3. = 700 J.
electromagnetism