answer
string
choices
dict
id
string
kind
string
lang
string
question
string
steps
list
subject
string
text
string
topic
string
Momentum: 60 kg·m/s.
null
phy_0901
worked_example
en
A mass of 20 kg moves at 3 m/s. Compute its momentum.
[ "p = m×v.", "p = 20 kg × 3 m/s.", "= 60 kg·m/s." ]
physics
Answer: Momentum: 60 kg·m/s. Steps: 1. p = m×v. 2. p = 20 kg × 3 m/s. 3. = 60 kg·m/s.
mechanics
Power is 132 W.
{ "A": "120 W", "B": "132 W", "C": "144 W", "D": "156 W" }
phy_0902
multiple_choice
en
A bulb runs at 12 V drawing 11 A. What is its power?
[ "P = 12 V × 11 A.", "P = 132 W.", "Select option B." ]
physics
Answer: 132 W Steps: 1. P = 12 V × 11 A. 2. P = 132 W. 3. Select option B. Answer: (B)
electromagnetism
Power: 200 W.
null
phy_0903
worked_example
en
An engine does 2000 J of work in 10 s. Compute its power.
[ "P = W/t.", "P = 2000 J / 10 s.", "= 200 W." ]
physics
Answer: Power: 200 W. Steps: 1. P = W/t. 2. P = 2000 J / 10 s. 3. = 200 W.
thermodynamics
Missing cone types collapse hues, confusing reds with greens.
null
phy_0904
concept
en
Why colour blindness?
[ "Missing cone types collapse hues, confusing reds with greens.", "So the answer stands: Missing cone types collapse hues, confusing reds with greens." ]
physics
Answer: Missing cone types collapse hues, confusing reds with greens. Steps: 1. Missing cone types collapse hues, confusing reds with greens. 2. So the answer stands: Missing cone types collapse hues, confusing reds with greens.
optics
Speed: 3000 m/s.
null
phy_0905
worked_example
en
A string wave has f = 1000 Hz and λ = 3 m. Compute its speed.
[ "v = f×λ.", "v = 1000 Hz × 3 m.", "= 3000 m/s." ]
physics
Answer: Speed: 3000 m/s. Steps: 1. v = f×λ. 2. v = 1000 Hz × 3 m. 3. = 3000 m/s.
waves
Nukleonové číslo: 13.
null
phy_0906
worked_example
cs
Jádro má 6 protonů a 7 neutronů. Spočítej jeho nukleonové číslo.
[ "A = Z+N.", "A = 6 + 7.", "= 13." ]
physics
Answer: Nukleonové číslo: 13. Steps: 1. A = Z+N. 2. A = 6 + 7. 3. = 13.
modern
Net force: 38 N.
null
phy_0907
worked_example
en
A mass of 19 kg accelerates at 2 m/s². Compute the net force.
[ "F = m×a.", "F = 19 kg × 2 m/s².", "= 38 N." ]
physics
Answer: Net force: 38 N. Steps: 1. F = m×a. 2. F = 19 kg × 2 m/s². 3. = 38 N.
mechanics
Charge is 200 C.
{ "A": "180 C", "B": "220 C", "C": "200 C", "D": "240 C" }
phy_0908
multiple_choice
en
A current of 4 A flows for 50 s. How much charge passes?
[ "Q = 4 A × 50 s.", "Q = 200 C.", "Select option C." ]
physics
Answer: 200 C Steps: 1. Q = 4 A × 50 s. 2. Q = 200 C. 3. Select option C. Answer: (C)
electromagnetism
Efficiency is 100%.
{ "A": "90%", "B": "110%", "C": "100%", "D": "120%" }
phy_0909
multiple_choice
en
An engine turns 1000 J of 1000 J heat into work. What is its efficiency?
[ "1000 J / 1000 J.", "= 100%.", "Select option C." ]
physics
Answer: 100% Steps: 1. 1000 J / 1000 J. 2. = 100%. 3. Select option C. Answer: (C)
thermodynamics
Time: 16.3 s.
null
phy_0910
worked_example
en
Light travels 49×10⁸ m. Compute the travel time. (c = 3×10⁸ m/s)
[ "t = d/c.", "t = 49×10⁸ / 3×10⁸ s.", "= 16.3 s." ]
physics
Answer: Time: 16.3 s. Steps: 1. t = d/c. 2. t = 49×10⁸ / 3×10⁸ s. 3. = 16.3 s.
optics
3rd harmonic is 570 Hz.
{ "A": "540 Hz", "B": "600 Hz", "C": "570 Hz", "D": "630 Hz" }
phy_0911
multiple_choice
en
A string's fundamental is 190 Hz. What is its 3rd harmonic?
[ "f3 = 3 × 190 Hz.", "f3 = 570 Hz.", "Select option C." ]
physics
Answer: 570 Hz Steps: 1. f3 = 3 × 190 Hz. 2. f3 = 570 Hz. 3. Select option C. Answer: (C)
waves
Mass number is 16.
{ "A": "16", "B": "15", "C": "17", "D": "18" }
phy_0912
multiple_choice
en
A nucleus has 8 protons and 8 neutrons. What is its mass number?
[ "A = 8 + 8.", "A = 16.", "Select option A." ]
physics
Answer: 16 Steps: 1. A = 8 + 8. 2. A = 16. 3. Select option A. Answer: (A)
modern
Surfaces push back perpendicularly exactly as needed, cancelling into-contact forces.
null
phy_0913
concept
en
What is the normal force?
[ "Surfaces push back perpendicularly exactly as needed, cancelling into-contact forces.", "So the answer stands: Surfaces push back perpendicularly exactly as needed, cancelling into-contact forces." ]
physics
Answer: Surfaces push back perpendicularly exactly as needed, cancelling into-contact forces. Steps: 1. Surfaces push back perpendicularly exactly as needed, cancelling into-contact forces. 2. So the answer stands: Surfaces push back perpendicularly exactly as needed, cancelling into-contact forces.
mechanics
Voltage: 204 V.
null
phy_0914
worked_example
en
A current of 17 A flows through 12 Ω. Compute the voltage.
[ "V = I×R.", "V = 17 A × 12 Ω.", "= 204 V." ]
physics
Answer: Voltage: 204 V. Steps: 1. V = I×R. 2. V = 17 A × 12 Ω. 3. = 204 V.
electromagnetism
Beyond it liquid and gas merge indistinguishably into supercritical fluid.
null
phy_0915
concept
en
What is critical point?
[ "Beyond it liquid and gas merge indistinguishably into supercritical fluid.", "So the answer stands: Beyond it liquid and gas merge indistinguishably into supercritical fluid." ]
physics
Answer: Beyond it liquid and gas merge indistinguishably into supercritical fluid. Steps: 1. Beyond it liquid and gas merge indistinguishably into supercritical fluid. 2. So the answer stands: Beyond it liquid and gas merge indistinguishably into supercritical fluid.
thermodynamics
Rods sense dim light in grey, trading colour for sensitivity.
null
phy_0916
concept
en
What is night vision?
[ "Rods sense dim light in grey, trading colour for sensitivity.", "So the answer stands: Rods sense dim light in grey, trading colour for sensitivity." ]
physics
Answer: Rods sense dim light in grey, trading colour for sensitivity. Steps: 1. Rods sense dim light in grey, trading colour for sensitivity. 2. So the answer stands: Rods sense dim light in grey, trading colour for sensitivity.
optics
Light packets carry E = hf each, explaining spectra and solar cells.
null
phy_0917
concept
en
Why photons?
[ "Light packets carry E = hf each, explaining spectra and solar cells.", "So the answer stands: Light packets carry E = hf each, explaining spectra and solar cells." ]
physics
Answer: Light packets carry E = hf each, explaining spectra and solar cells. Steps: 1. Light packets carry E = hf each, explaining spectra and solar cells. 2. So the answer stands: Light packets carry E = hf each, explaining spectra and solar cells.
waves
Každé období půlí statisticky.
null
phy_0918
concept
cs
Proč poločas?
[ "Každé období půlí statisticky.", "Odpověď tedy platí: Každé období půlí statisticky." ]
physics
Answer: Každé období půlí statisticky. Steps: 1. Každé období půlí statisticky. 2. Odpověď tedy platí: Každé období půlí statisticky.
modern
Accelerating floors change scale readings, though gravity itself never varies.
null
phy_0919
concept
en
Why apparent weight?
[ "Accelerating floors change scale readings, though gravity itself never varies.", "So the answer stands: Accelerating floors change scale readings, though gravity itself never varies." ]
physics
Answer: Accelerating floors change scale readings, though gravity itself never varies. Steps: 1. Accelerating floors change scale readings, though gravity itself never varies. 2. So the answer stands: Accelerating floors change scale readings, though gravity itself never varies.
mechanics
Energy: 2100 J.
null
phy_0920
worked_example
en
A 100 W heater runs for 21 s. Compute the energy used.
[ "E = P×t.", "E = 100 W × 21 s.", "= 2100 J." ]
physics
Answer: Energy: 2100 J. Steps: 1. E = P×t. 2. E = 100 W × 21 s. 3. = 2100 J.
electromagnetism
Temperature is 302 K.
{ "A": "301 K", "B": "302 K", "C": "303 K", "D": "304 K" }
phy_0921
multiple_choice
en
Room temperature is 29 °C. What is it in kelvin?
[ "29 °C + 273.", "= 302 K.", "Select option B." ]
physics
Answer: 302 K Steps: 1. 29 °C + 273. 2. = 302 K. 3. Select option B. Answer: (B)
thermodynamics
Apparent depth: 180 cm.
null
phy_0922
worked_example
en
An object sits 270 cm deep in glass (n = 1.5). Compute the apparent depth.
[ "d' = d/n.", "d' = 270 cm / 1.5.", "= 180 cm." ]
physics
Answer: Apparent depth: 180 cm. Steps: 1. d' = d/n. 2. d' = 270 cm / 1.5. 3. = 180 cm.
optics
Distance: 6120 m.
null
phy_0923
worked_example
en
Thunder is heard 18 s after lightning. How far away is the storm? (v = 340 m/s)
[ "d = v×t.", "d = 340 m/s × 18 s.", "= 6120 m." ]
physics
Answer: Distance: 6120 m. Steps: 1. d = v×t. 2. d = 340 m/s × 18 s. 3. = 6120 m.
waves
800 atoms remain.
{ "A": "750", "B": "850", "C": "900", "D": "800" }
phy_0924
multiple_choice
en
A sample of 3200 atoms undergoes 2 half-lives. How many remain?
[ "Halve twice: 3200 → 1600 → 800.", "Left: 800.", "Select option D." ]
physics
Answer: 800 Steps: 1. Halve twice: 3200 → 1600 → 800. 2. Left: 800. 3. Select option D. Answer: (D)
modern
Work: 360 J.
null
phy_0925
worked_example
en
A force of 90 N pushes 4 m. Compute the work done.
[ "W = F×d.", "W = 90 N × 4 m.", "= 360 J." ]
physics
Answer: Work: 360 J. Steps: 1. W = F×d. 2. W = 90 N × 4 m. 3. = 360 J.
mechanics
Měnící se tok budí napětí v cívkách.
null
phy_0926
concept
cs
Co je indukce?
[ "Měnící se tok budí napětí v cívkách.", "Odpověď tedy platí: Měnící se tok budí napětí v cívkách." ]
physics
Answer: Měnící se tok budí napětí v cívkách. Steps: 1. Měnící se tok budí napětí v cívkách. 2. Odpověď tedy platí: Měnící se tok budí napětí v cívkách.
electromagnetism
Jittering pollen proves molecules exist, kicked randomly by fluid hits.
null
phy_0927
concept
en
Why Brownian motion?
[ "Jittering pollen proves molecules exist, kicked randomly by fluid hits.", "So the answer stands: Jittering pollen proves molecules exist, kicked randomly by fluid hits." ]
physics
Answer: Jittering pollen proves molecules exist, kicked randomly by fluid hits. Steps: 1. Jittering pollen proves molecules exist, kicked randomly by fluid hits. 2. So the answer stands: Jittering pollen proves molecules exist, kicked randomly by fluid hits.
thermodynamics
Deforming mirrors cancel air shimmer live, sharpening star images.
null
phy_0928
concept
en
Why adaptive optics?
[ "Deforming mirrors cancel air shimmer live, sharpening star images.", "So the answer stands: Deforming mirrors cancel air shimmer live, sharpening star images." ]
physics
Answer: Deforming mirrors cancel air shimmer live, sharpening star images. Steps: 1. Deforming mirrors cancel air shimmer live, sharpening star images. 2. So the answer stands: Deforming mirrors cancel air shimmer live, sharpening star images.
optics
3rd harmonic: 780 Hz.
null
phy_0929
worked_example
en
A string's fundamental is 260 Hz. Compute its 3rd harmonic.
[ "f3 = 3×f1.", "f3 = 3 × 260 Hz.", "= 780 Hz." ]
physics
Answer: 3rd harmonic: 780 Hz. Steps: 1. f3 = 3×f1. 2. f3 = 3 × 260 Hz. 3. = 780 Hz.
waves
Count: 45.
{ "A": "45", "B": "44", "C": "46", "D": "47" }
phy_0930
multiple_choice
en
An atom is excited to level n = 10. How many spectral lines can it emit?
[ "Pairs: 10×9/2.", "Lines: 45.", "Select option A." ]
physics
Answer: 45 Steps: 1. Pairs: 10×9/2. 2. Lines: 45. 3. Select option A. Answer: (A)
modern
Moment je síla krát rameno a roztáčí tělesa.
null
phy_0931
concept
cs
Proč moment síly?
[ "Moment je síla krát rameno a roztáčí tělesa.", "Odpověď tedy platí: Moment je síla krát rameno a roztáčí tělesa." ]
physics
Answer: Moment je síla krát rameno a roztáčí tělesa. Steps: 1. Moment je síla krát rameno a roztáčí tělesa. 2. Odpověď tedy platí: Moment je síla krát rameno a roztáčí tělesa.
mechanics
Metal braids block interference, keeping signals clean in noise.
null
phy_0932
concept
en
Why shield cables?
[ "Metal braids block interference, keeping signals clean in noise.", "So the answer stands: Metal braids block interference, keeping signals clean in noise." ]
physics
Answer: Metal braids block interference, keeping signals clean in noise. Steps: 1. Metal braids block interference, keeping signals clean in noise. 2. So the answer stands: Metal braids block interference, keeping signals clean in noise.
electromagnetism
Particles spread from crowded to empty randomly, mixing air and ink.
null
phy_0933
concept
en
What is diffusion?
[ "Particles spread from crowded to empty randomly, mixing air and ink.", "So the answer stands: Particles spread from crowded to empty randomly, mixing air and ink." ]
physics
Answer: Particles spread from crowded to empty randomly, mixing air and ink. Steps: 1. Particles spread from crowded to empty randomly, mixing air and ink. 2. So the answer stands: Particles spread from crowded to empty randomly, mixing air and ink.
thermodynamics
c is 299792458 m/s exactly, the cosmic limit nothing exceeds.
null
phy_0934
concept
en
What is the speed of light?
[ "c is 299792458 m/s exactly, the cosmic limit nothing exceeds.", "So the answer stands: c is 299792458 m/s exactly, the cosmic limit nothing exceeds." ]
physics
Answer: c is 299792458 m/s exactly, the cosmic limit nothing exceeds. Steps: 1. c is 299792458 m/s exactly, the cosmic limit nothing exceeds. 2. So the answer stands: c is 299792458 m/s exactly, the cosmic limit nothing exceeds.
optics
Speed: 3150 m/s.
null
phy_0935
worked_example
en
A string wave has f = 1050 Hz and λ = 3 m. Compute its speed.
[ "v = f×λ.", "v = 1050 Hz × 3 m.", "= 3150 m/s." ]
physics
Answer: Speed: 3150 m/s. Steps: 1. v = f×λ. 2. v = 1050 Hz × 3 m. 3. = 3150 m/s.
waves
Mass number is 18.
{ "A": "17", "B": "18", "C": "19", "D": "20" }
phy_0936
multiple_choice
en
A nucleus has 9 protons and 9 neutrons. What is its mass number?
[ "A = 9 + 9.", "A = 18.", "Select option B." ]
physics
Answer: 18 Steps: 1. A = 9 + 9. 2. A = 18. 3. Select option B. Answer: (B)
modern
Pulleys redirect tension and share loads, trading pull distance for force ease.
null
phy_0937
concept
en
What is a pulley for?
[ "Pulleys redirect tension and share loads, trading pull distance for force ease.", "So the answer stands: Pulleys redirect tension and share loads, trading pull distance for force ease." ]
physics
Answer: Pulleys redirect tension and share loads, trading pull distance for force ease. Steps: 1. Pulleys redirect tension and share loads, trading pull distance for force ease. 2. So the answer stands: Pulleys redirect tension and share loads, trading pull distance for force ease.
mechanics
Separated charges reunite suddenly through air, zapping fingers dryly.
null
phy_0938
concept
en
What is static shock?
[ "Separated charges reunite suddenly through air, zapping fingers dryly.", "So the answer stands: Separated charges reunite suddenly through air, zapping fingers dryly." ]
physics
Answer: Separated charges reunite suddenly through air, zapping fingers dryly. Steps: 1. Separated charges reunite suddenly through air, zapping fingers dryly. 2. So the answer stands: Separated charges reunite suddenly through air, zapping fingers dryly.
electromagnetism
Temperature: 304 K.
null
phy_0939
worked_example
en
Temperature is 31 °C. Convert it to kelvin.
[ "Add 273.", "31 + 273.", "= 304 K." ]
physics
Answer: Temperature: 304 K. Steps: 1. Add 273. 2. 31 + 273. 3. = 304 K.
thermodynamics
Relativity holds light speed fixed for all observers, warping time itself.
null
phy_0940
concept
en
Why constant c?
[ "Relativity holds light speed fixed for all observers, warping time itself.", "So the answer stands: Relativity holds light speed fixed for all observers, warping time itself." ]
physics
Answer: Relativity holds light speed fixed for all observers, warping time itself. Steps: 1. Relativity holds light speed fixed for all observers, warping time itself. 2. So the answer stands: Relativity holds light speed fixed for all observers, warping time itself.
optics
Speed is 1100 m/s.
{ "A": "1050 m/s", "B": "1100 m/s", "C": "1150 m/s", "D": "1200 m/s" }
phy_0941
multiple_choice
en
A string wave has f = 550 Hz and λ = 2 m. What is its speed?
[ "v = 550 Hz × 2 m.", "v = 1100 m/s.", "Select option B." ]
physics
Answer: 1100 m/s Steps: 1. v = 550 Hz × 2 m. 2. v = 1100 m/s. 3. Select option B. Answer: (B)
waves
900 atoms remain.
{ "A": "900", "B": "850", "C": "950", "D": "1000" }
phy_0942
multiple_choice
en
A sample of 3600 atoms undergoes 2 half-lives. How many remain?
[ "Halve twice: 3600 → 1800 → 900.", "Left: 900.", "Select option A." ]
physics
Answer: 900 Steps: 1. Halve twice: 3600 → 1800 → 900. 2. Left: 900. 3. Select option A. Answer: (A)
modern
Momentum: 63 kg·m/s.
null
phy_0943
worked_example
en
A mass of 21 kg moves at 3 m/s. Compute its momentum.
[ "p = m×v.", "p = 21 kg × 3 m/s.", "= 63 kg·m/s." ]
physics
Answer: Momentum: 63 kg·m/s. Steps: 1. p = m×v. 2. p = 21 kg × 3 m/s. 3. = 63 kg·m/s.
mechanics
It powers civilization from lights to chips, unifying forces elegantly.
null
phy_0944
concept
en
Why study electromagnetism?
[ "It powers civilization from lights to chips, unifying forces elegantly.", "So the answer stands: It powers civilization from lights to chips, unifying forces elegantly." ]
physics
Answer: It powers civilization from lights to chips, unifying forces elegantly. Steps: 1. It powers civilization from lights to chips, unifying forces elegantly. 2. So the answer stands: It powers civilization from lights to chips, unifying forces elegantly.
electromagnetism
Teplo: 41860 J.
null
phy_0945
worked_example
cs
Kolik tepla ohřeje 2 kg vody o 5 K? (c = 4186 J/(kg·K))
[ "Q = 2 kg × 4186 J/(kg·K) × 5 K.", "= 41860 J." ]
physics
Answer: Teplo: 41860 J. Steps: 1. Q = 2 kg × 4186 J/(kg·K) × 5 K. 2. = 41860 J.
thermodynamics
Magnification: 19×.
null
phy_0946
worked_example
en
An image forms 190 cm from a lens, object at 10 cm. Compute the magnification.
[ "M = di/do.", "M = 190 cm / 10 cm.", "= 19×." ]
physics
Answer: Magnification: 19×. Steps: 1. M = di/do. 2. M = 190 cm / 10 cm. 3. = 19×.
optics
3. harmonická: 390 Hz.
null
phy_0947
worked_example
cs
Základ struny je 130 Hz. Spočítej její 3. harmonickou.
[ "f3 = 3×f1.", "f3 = 3 × 130 Hz.", "= 390 Hz." ]
physics
Answer: 3. harmonická: 390 Hz. Steps: 1. f3 = 3×f1. 2. f3 = 3 × 130 Hz. 3. = 390 Hz.
waves
Count: 55.
{ "A": "54", "B": "55", "C": "56", "D": "57" }
phy_0948
multiple_choice
en
An atom is excited to level n = 11. How many spectral lines can it emit?
[ "Pairs: 11×10/2.", "Lines: 55.", "Select option B." ]
physics
Answer: 55 Steps: 1. Pairs: 11×10/2. 2. Lines: 55. 3. Select option B. Answer: (B)
modern
Net force: 40 N.
null
phy_0949
worked_example
en
A mass of 20 kg accelerates at 2 m/s². Compute the net force.
[ "F = m×a.", "F = 20 kg × 2 m/s².", "= 40 N." ]
physics
Answer: Net force: 40 N. Steps: 1. F = m×a. 2. F = 20 kg × 2 m/s². 3. = 40 N.
mechanics
Power: 972 W.
null
phy_0950
worked_example
en
A current of 18 A flows through 3 Ω. Compute the dissipated power.
[ "P = I²×R.", "P = (18 A)² × 3 Ω.", "= 972 W." ]
physics
Answer: Power: 972 W. Steps: 1. P = I²×R. 2. P = (18 A)² × 3 Ω. 3. = 972 W.
electromagnetism
Heat needed is 46046 J.
{ "A": "41860 J", "B": "50232 J", "C": "46046 J", "D": "54418 J" }
phy_0951
multiple_choice
en
How much heat warms 1 kg of water by 11 K? (c = 4186 J/(kg·K))
[ "Q = 1 kg × 4186 J/(kg·K) × 11 K.", "Q = 46046 J.", "Select option C." ]
physics
Answer: 46046 J Steps: 1. Q = 1 kg × 4186 J/(kg·K) × 11 K. 2. Q = 46046 J. 3. Select option C. Answer: (C)
thermodynamics
Zvětšení: 7×.
null
phy_0952
worked_example
cs
Obraz vzniká 70 cm od čočky, předmět v 10 cm. Spočítej zvětšení.
[ "M = di/do.", "M = 70 cm / 10 cm.", "= 7×." ]
physics
Answer: Zvětšení: 7×. Steps: 1. M = di/do. 2. M = 70 cm / 10 cm. 3. = 7×.
optics
Everything shows both wave and particle faces in experiments.
null
phy_0953
concept
en
What is wave-particle duality?
[ "Everything shows both wave and particle faces in experiments.", "So the answer stands: Everything shows both wave and particle faces in experiments." ]
physics
Answer: Everything shows both wave and particle faces in experiments. Steps: 1. Everything shows both wave and particle faces in experiments. 2. So the answer stands: Everything shows both wave and particle faces in experiments.
waves
Odpověď je fúze.
{ "A": "zmatek", "B": "fúze", "C": "difuze", "D": "iluze" }
phy_0954
multiple_choice
cs
Vyber: co slučuje lehké?
[ "Hvězdy rozsvíceny.", "Tedy: fúze.", "Vyber možnost B." ]
physics
Answer: fúze Steps: 1. Hvězdy rozsvíceny. 2. Tedy: fúze. 3. Vyber možnost B. Answer: (B)
modern
Work: 380 J.
null
phy_0955
worked_example
en
A force of 95 N pushes 4 m. Compute the work done.
[ "W = F×d.", "W = 95 N × 4 m.", "= 380 J." ]
physics
Answer: Work: 380 J. Steps: 1. W = F×d. 2. W = 95 N × 4 m. 3. = 380 J.
mechanics
Voltage: 216 V.
null
phy_0956
worked_example
en
A current of 18 A flows through 12 Ω. Compute the voltage.
[ "V = I×R.", "V = 18 A × 12 Ω.", "= 216 V." ]
physics
Answer: Voltage: 216 V. Steps: 1. V = I×R. 2. V = 18 A × 12 Ω. 3. = 216 V.
electromagnetism
Heat: 142324 J.
null
phy_0957
worked_example
en
How much heat warms 2 kg of water by 17 K? (c = 4186 J/(kg·K))
[ "Q = 2 kg × 4186 J/(kg·K) × 17 K.", "= 142324 J." ]
physics
Answer: Heat: 142324 J. Steps: 1. Q = 2 kg × 4186 J/(kg·K) × 17 K. 2. = 142324 J.
thermodynamics
Stretching space lengthens light waves, revealing cosmic expansion.
null
phy_0958
concept
en
What is redshift?
[ "Stretching space lengthens light waves, revealing cosmic expansion.", "So the answer stands: Stretching space lengthens light waves, revealing cosmic expansion." ]
physics
Answer: Stretching space lengthens light waves, revealing cosmic expansion. Steps: 1. Stretching space lengthens light waves, revealing cosmic expansion. 2. So the answer stands: Stretching space lengthens light waves, revealing cosmic expansion.
optics
Distance: 6460 m.
null
phy_0959
worked_example
en
Thunder is heard 19 s after lightning. How far away is the storm? (v = 340 m/s)
[ "d = v×t.", "d = 340 m/s × 19 s.", "= 6460 m." ]
physics
Answer: Distance: 6460 m. Steps: 1. d = v×t. 2. d = 340 m/s × 19 s. 3. = 6460 m.
waves
It models particles as tiny vibrating strings unifying forces.
null
phy_0960
concept
en
What is string theory?
[ "It models particles as tiny vibrating strings unifying forces.", "So the answer stands: It models particles as tiny vibrating strings unifying forces." ]
physics
Answer: It models particles as tiny vibrating strings unifying forces. Steps: 1. It models particles as tiny vibrating strings unifying forces. 2. So the answer stands: It models particles as tiny vibrating strings unifying forces.
modern
Meshed teeth trade speed for torque at fixed ratios, powering machines efficiently.
null
phy_0961
concept
en
Why gears?
[ "Meshed teeth trade speed for torque at fixed ratios, powering machines efficiently.", "So the answer stands: Meshed teeth trade speed for torque at fixed ratios, powering machines efficiently." ]
physics
Answer: Meshed teeth trade speed for torque at fixed ratios, powering machines efficiently. Steps: 1. Meshed teeth trade speed for torque at fixed ratios, powering machines efficiently. 2. So the answer stands: Meshed teeth trade speed for torque at fixed ratios, powering machines efficiently.
mechanics
Voltage is 55 V.
{ "A": "50 V", "B": "55 V", "C": "60 V", "D": "65 V" }
phy_0962
multiple_choice
en
A current of 11 A flows through 5 Ω. What is the voltage?
[ "V = 11 A × 5 Ω.", "V = 55 V.", "Select option B." ]
physics
Answer: 55 V Steps: 1. V = 11 A × 5 Ω. 2. V = 55 V. 3. Select option B. Answer: (B)
electromagnetism
Power: 210 W.
null
phy_0963
worked_example
en
An engine does 2100 J of work in 10 s. Compute its power.
[ "P = W/t.", "P = 2100 J / 10 s.", "= 210 W." ]
physics
Answer: Power: 210 W. Steps: 1. P = W/t. 2. P = 2100 J / 10 s. 3. = 210 W.
thermodynamics
Čas: 5,3 s.
null
phy_0964
worked_example
cs
Světlo letí 16×10⁸ m. Spočítej dobu letu. (c = 3×10⁸ m/s)
[ "t = d/c.", "t = 16×10⁸ / 3×10⁸ s.", "= 5,3 s." ]
physics
Answer: Čas: 5,3 s. Steps: 1. t = d/c. 2. t = 16×10⁸ / 3×10⁸ s. 3. = 5,3 s.
optics
Period is 0.09 s.
{ "A": "0.1 s", "B": "0.11 s", "C": "0.09 s", "D": "0.08 s" }
phy_0965
multiple_choice
en
A wave has frequency 11 Hz. What is its period?
[ "T = 1 / 11 Hz.", "T = 0.09 s.", "Select option C." ]
physics
Answer: 0.09 s Steps: 1. T = 1 / 11 Hz. 2. T = 0.09 s. 3. Select option C. Answer: (C)
waves
Mass number is 20.
{ "A": "19", "B": "21", "C": "20", "D": "22" }
phy_0966
multiple_choice
en
A nucleus has 10 protons and 10 neutrons. What is its mass number?
[ "A = 10 + 10.", "A = 20.", "Select option C." ]
physics
Answer: 20 Steps: 1. A = 10 + 10. 2. A = 20. 3. Select option C. Answer: (C)
modern
It is the balance point moving as if all mass sat there under net force.
null
phy_0967
concept
en
What is the centre of mass?
[ "It is the balance point moving as if all mass sat there under net force.", "So the answer stands: It is the balance point moving as if all mass sat there under net force." ]
physics
Answer: It is the balance point moving as if all mass sat there under net force. Steps: 1. It is the balance point moving as if all mass sat there under net force. 2. So the answer stands: It is the balance point moving as if all mass sat there under net force.
mechanics
Power is 144 W.
{ "A": "132 W", "B": "156 W", "C": "144 W", "D": "168 W" }
phy_0968
multiple_choice
en
A bulb runs at 12 V drawing 12 A. What is its power?
[ "P = 12 V × 12 A.", "P = 144 W.", "Select option C." ]
physics
Answer: 144 W Steps: 1. P = 12 V × 12 A. 2. P = 144 W. 3. Select option C. Answer: (C)
electromagnetism
Efficiency is 110%.
{ "A": "100%", "B": "120%", "C": "130%", "D": "110%" }
phy_0969
multiple_choice
en
An engine turns 1100 J of 1000 J heat into work. What is its efficiency?
[ "1100 J / 1000 J.", "= 110%.", "Select option D." ]
physics
Answer: 110% Steps: 1. 1100 J / 1000 J. 2. = 110%. 3. Select option D. Answer: (D)
thermodynamics
Time: 17.3 s.
null
phy_0970
worked_example
en
Light travels 52×10⁸ m. Compute the travel time. (c = 3×10⁸ m/s)
[ "t = d/c.", "t = 52×10⁸ / 3×10⁸ s.", "= 17.3 s." ]
physics
Answer: Time: 17.3 s. Steps: 1. t = d/c. 2. t = 52×10⁸ / 3×10⁸ s. 3. = 17.3 s.
optics
3rd harmonic: 810 Hz.
null
phy_0971
worked_example
en
A string's fundamental is 270 Hz. Compute its 3rd harmonic.
[ "f3 = 3×f1.", "f3 = 3 × 270 Hz.", "= 810 Hz." ]
physics
Answer: 3rd harmonic: 810 Hz. Steps: 1. f3 = 3×f1. 2. f3 = 3 × 270 Hz. 3. = 810 Hz.
waves
It reveals deep reality from quanta to cosmos.
null
phy_0972
concept
en
Why study modern physics?
[ "It reveals deep reality from quanta to cosmos.", "So the answer stands: It reveals deep reality from quanta to cosmos." ]
physics
Answer: It reveals deep reality from quanta to cosmos. Steps: 1. It reveals deep reality from quanta to cosmos. 2. So the answer stands: It reveals deep reality from quanta to cosmos.
modern
Speed is 19 m/s.
{ "A": "18 m/s", "B": "20 m/s", "C": "19 m/s", "D": "21 m/s" }
phy_0973
multiple_choice
en
A car travels 190 m in 10 s. What is its speed?
[ "v = 190 m / 10 s.", "v = 19 m/s.", "Select option C." ]
physics
Answer: 19 m/s Steps: 1. v = 190 m / 10 s. 2. v = 19 m/s. 3. Select option C. Answer: (C)
mechanics
Energy: 2200 J.
null
phy_0974
worked_example
en
A 100 W heater runs for 22 s. Compute the energy used.
[ "E = P×t.", "E = 100 W × 22 s.", "= 2200 J." ]
physics
Answer: Energy: 2200 J. Steps: 1. E = P×t. 2. E = 100 W × 22 s. 3. = 2200 J.
electromagnetism
Solvent crosses membranes toward solute, pressuring cells and roots.
null
phy_0975
concept
en
Why osmosis?
[ "Solvent crosses membranes toward solute, pressuring cells and roots.", "So the answer stands: Solvent crosses membranes toward solute, pressuring cells and roots." ]
physics
Answer: Solvent crosses membranes toward solute, pressuring cells and roots. Steps: 1. Solvent crosses membranes toward solute, pressuring cells and roots. 2. So the answer stands: Solvent crosses membranes toward solute, pressuring cells and roots.
thermodynamics
Apparent depth: 190 cm.
null
phy_0976
worked_example
en
An object sits 285 cm deep in glass (n = 1.5). Compute the apparent depth.
[ "d' = d/n.", "d' = 285 cm / 1.5.", "= 190 cm." ]
physics
Answer: Apparent depth: 190 cm. Steps: 1. d' = d/n. 2. d' = 285 cm / 1.5. 3. = 190 cm.
optics
Matter wavelength h/p guides electron microscopes to atoms.
null
phy_0977
concept
en
Why de Broglie?
[ "Matter wavelength h/p guides electron microscopes to atoms.", "So the answer stands: Matter wavelength h/p guides electron microscopes to atoms." ]
physics
Answer: Matter wavelength h/p guides electron microscopes to atoms. Steps: 1. Matter wavelength h/p guides electron microscopes to atoms. 2. So the answer stands: Matter wavelength h/p guides electron microscopes to atoms.
waves
Mass number: 41.
null
phy_0978
worked_example
en
A nucleus has 20 protons and 21 neutrons. Compute its mass number.
[ "A = Z+N.", "A = 20 + 21.", "= 41." ]
physics
Answer: Mass number: 41. Steps: 1. A = Z+N. 2. A = 20 + 21. 3. = 41.
modern
It predicts all motion from atoms to galaxies, the foundation of physics.
null
phy_0979
concept
en
Why study mechanics?
[ "It predicts all motion from atoms to galaxies, the foundation of physics.", "So the answer stands: It predicts all motion from atoms to galaxies, the foundation of physics." ]
physics
Answer: It predicts all motion from atoms to galaxies, the foundation of physics. Steps: 1. It predicts all motion from atoms to galaxies, the foundation of physics. 2. So the answer stands: It predicts all motion from atoms to galaxies, the foundation of physics.
mechanics
Odpověď je napětí.
{ "A": "napětí", "B": "proud", "C": "výkon", "D": "síla" }
phy_0980
multiple_choice
cs
Vyber: co je energie na náboj?
[ "Volty tlačí tok.", "Tedy: napětí.", "Vyber možnost A." ]
physics
Answer: napětí Steps: 1. Volty tlačí tok. 2. Tedy: napětí. 3. Vyber možnost A. Answer: (A)
electromagnetism
Molecular speeds spread predictably around most-likely values by temperature.
null
phy_0981
concept
en
What is Maxwell distribution?
[ "Molecular speeds spread predictably around most-likely values by temperature.", "So the answer stands: Molecular speeds spread predictably around most-likely values by temperature." ]
physics
Answer: Molecular speeds spread predictably around most-likely values by temperature. Steps: 1. Molecular speeds spread predictably around most-likely values by temperature. 2. So the answer stands: Molecular speeds spread predictably around most-likely values by temperature.
thermodynamics
Apparent depth is 110 cm.
{ "A": "105 cm", "B": "115 cm", "C": "120 cm", "D": "110 cm" }
phy_0982
multiple_choice
en
An object sits 165 cm deep in glass (n = 1.5). What is the apparent depth?
[ "d' = 165 cm / 1.5.", "d' = 110 cm.", "Select option D." ]
physics
Answer: 110 cm Steps: 1. d' = 165 cm / 1.5. 2. d' = 110 cm. 3. Select option D. Answer: (D)
optics
Position-momentum spread has a quantum floor, blurring tiny scales.
null
phy_0983
concept
en
What is uncertainty?
[ "Position-momentum spread has a quantum floor, blurring tiny scales.", "So the answer stands: Position-momentum spread has a quantum floor, blurring tiny scales." ]
physics
Answer: Position-momentum spread has a quantum floor, blurring tiny scales. Steps: 1. Position-momentum spread has a quantum floor, blurring tiny scales. 2. So the answer stands: Position-momentum spread has a quantum floor, blurring tiny scales.
waves
1000 atoms remain.
{ "A": "950", "B": "1000", "C": "1050", "D": "1100" }
phy_0984
multiple_choice
en
A sample of 4000 atoms undergoes 2 half-lives. How many remain?
[ "Halve twice: 4000 → 2000 → 1000.", "Left: 1000.", "Select option B." ]
physics
Answer: 1000 Steps: 1. Halve twice: 4000 → 2000 → 1000. 2. Left: 1000. 3. Select option B. Answer: (B)
modern
Práce: 120 J.
null
phy_0985
worked_example
cs
Síla 30 N tlačí na dráze 4 m. Spočítej vykonanou práci.
[ "W = F×d.", "W = 30 N × 4 m.", "= 120 J." ]
physics
Answer: Práce: 120 J. Steps: 1. W = F×d. 2. W = 30 N × 4 m. 3. = 120 J.
mechanics
Odpověď je transformátor.
{ "A": "motor", "B": "transformátor", "C": "baterie", "D": "pojistka" }
phy_0986
multiple_choice
cs
Vyber: co škáluje závity?
[ "Napětí poměřeno.", "Tedy: transformátor.", "Vyber možnost B." ]
physics
Answer: transformátor Steps: 1. Napětí poměřeno. 2. Tedy: transformátor. 3. Vyber možnost B. Answer: (B)
electromagnetism
Temperature: 305 K.
null
phy_0987
worked_example
en
Temperature is 32 °C. Convert it to kelvin.
[ "Add 273.", "32 + 273.", "= 305 K." ]
physics
Answer: Temperature: 305 K. Steps: 1. Add 273. 2. 32 + 273. 3. = 305 K.
thermodynamics
Magnification: 20×.
null
phy_0988
worked_example
en
An image forms 200 cm from a lens, object at 10 cm. Compute the magnification.
[ "M = di/do.", "M = 200 cm / 10 cm.", "= 20×." ]
physics
Answer: Magnification: 20×. Steps: 1. M = di/do. 2. M = 200 cm / 10 cm. 3. = 20×.
optics
3rd harmonic is 600 Hz.
{ "A": "570 Hz", "B": "630 Hz", "C": "660 Hz", "D": "600 Hz" }
phy_0989
multiple_choice
en
A string's fundamental is 200 Hz. What is its 3rd harmonic?
[ "f3 = 3 × 200 Hz.", "f3 = 600 Hz.", "Select option D." ]
physics
Answer: 600 Hz Steps: 1. f3 = 3 × 200 Hz. 2. f3 = 600 Hz. 3. Select option D. Answer: (D)
waves
Count: 66.
{ "A": "65", "B": "67", "C": "66", "D": "68" }
phy_0990
multiple_choice
en
An atom is excited to level n = 12. How many spectral lines can it emit?
[ "Pairs: 12×11/2.", "Lines: 66.", "Select option C." ]
physics
Answer: 66 Steps: 1. Pairs: 12×11/2. 2. Lines: 66. 3. Select option C. Answer: (C)
modern
Kinetic energy is 169 J.
{ "A": "156 J", "B": "182 J", "C": "195 J", "D": "169 J" }
phy_0991
multiple_choice
en
A 2 kg ball moves at 13 m/s. What is its kinetic energy?
[ "KE = ½×2 kg×(13 m/s)².", "KE = 169 J.", "Select option D." ]
physics
Answer: 169 J Steps: 1. KE = ½×2 kg×(13 m/s)². 2. KE = 169 J. 3. Select option D. Answer: (D)
mechanics
Energie: 900 J.
null
phy_0992
worked_example
cs
Topidlo 100 W běží po 9 s. Spočítej spotřebovanou energii.
[ "E = P×t.", "E = 100 W × 9 s.", "= 900 J." ]
physics
Answer: Energie: 900 J. Steps: 1. E = P×t. 2. E = 100 W × 9 s. 3. = 900 J.
electromagnetism
Heat: 150696 J.
null
phy_0993
worked_example
en
How much heat warms 2 kg of water by 18 K? (c = 4186 J/(kg·K))
[ "Q = 2 kg × 4186 J/(kg·K) × 18 K.", "= 150696 J." ]
physics
Answer: Heat: 150696 J. Steps: 1. Q = 2 kg × 4186 J/(kg·K) × 18 K. 2. = 150696 J.
thermodynamics
It explains sight, cameras, and cosmos through light's behaviour.
null
phy_0994
concept
en
Why study optics?
[ "It explains sight, cameras, and cosmos through light's behaviour.", "So the answer stands: It explains sight, cameras, and cosmos through light's behaviour." ]
physics
Answer: It explains sight, cameras, and cosmos through light's behaviour. Steps: 1. It explains sight, cameras, and cosmos through light's behaviour. 2. So the answer stands: It explains sight, cameras, and cosmos through light's behaviour.
optics
Waves explain sound, light, and quantum all at once.
null
phy_0995
concept
en
Why study waves?
[ "Waves explain sound, light, and quantum all at once.", "So the answer stands: Waves explain sound, light, and quantum all at once." ]
physics
Answer: Waves explain sound, light, and quantum all at once. Steps: 1. Waves explain sound, light, and quantum all at once. 2. So the answer stands: Waves explain sound, light, and quantum all at once.
waves
Mass number is 22.
{ "A": "21", "B": "23", "C": "24", "D": "22" }
phy_0996
multiple_choice
en
A nucleus has 11 protons and 11 neutrons. What is its mass number?
[ "A = 11 + 11.", "A = 22.", "Select option D." ]
physics
Answer: 22 Steps: 1. A = 11 + 11. 2. A = 22. 3. Select option D. Answer: (D)
modern
Odpověď je práce.
{ "A": "výkon", "B": "práce", "C": "moment", "D": "impuls" }
phy_0997
multiple_choice
cs
Vyber: co je síla krát dráha?
[ "Jouly sečteny.", "Tedy: práce.", "Vyber možnost B." ]
physics
Answer: práce Steps: 1. Jouly sečteny. 2. Tedy: práce. 3. Vyber možnost B. Answer: (B)
mechanics
Charge is 220 C.
{ "A": "200 C", "B": "240 C", "C": "260 C", "D": "220 C" }
phy_0998
multiple_choice
en
A current of 4 A flows for 55 s. How much charge passes?
[ "Q = 4 A × 55 s.", "Q = 220 C.", "Select option D." ]
physics
Answer: 220 C Steps: 1. Q = 4 A × 55 s. 2. Q = 220 C. 3. Select option D. Answer: (D)
electromagnetism
It rules engines, life, and cosmos through energy and entropy laws.
null
phy_0999
concept
en
Why study thermodynamics?
[ "It rules engines, life, and cosmos through energy and entropy laws.", "So the answer stands: It rules engines, life, and cosmos through energy and entropy laws." ]
physics
Answer: It rules engines, life, and cosmos through energy and entropy laws. Steps: 1. It rules engines, life, and cosmos through energy and entropy laws. 2. So the answer stands: It rules engines, life, and cosmos through energy and entropy laws.
thermodynamics
Time: 18.3 s.
null
phy_1000
worked_example
en
Light travels 55×10⁸ m. Compute the travel time. (c = 3×10⁸ m/s)
[ "t = d/c.", "t = 55×10⁸ / 3×10⁸ s.", "= 18.3 s." ]
physics
Answer: Time: 18.3 s. Steps: 1. t = d/c. 2. t = 55×10⁸ / 3×10⁸ s. 3. = 18.3 s.
optics