answer
string
choices
dict
id
string
kind
string
lang
string
question
string
steps
list
subject
string
text
string
topic
string
Waves spread past edges, letting sound turn corners.
null
phy_0701
concept
en
How does diffraction turn corners?
[ "Waves spread past edges, letting sound turn corners.", "So the answer stands: Waves spread past edges, letting sound turn corners." ]
physics
Answer: Waves spread past edges, letting sound turn corners. Steps: 1. Waves spread past edges, letting sound turn corners. 2. So the answer stands: Waves spread past edges, letting sound turn corners.
waves
Annihilation photons pinpoint tracers inside bodies precisely.
null
phy_0702
concept
en
Why PET scans?
[ "Annihilation photons pinpoint tracers inside bodies precisely.", "So the answer stands: Annihilation photons pinpoint tracers inside bodies precisely." ]
physics
Answer: Annihilation photons pinpoint tracers inside bodies precisely. Steps: 1. Annihilation photons pinpoint tracers inside bodies precisely. 2. So the answer stands: Annihilation photons pinpoint tracers inside bodies precisely.
modern
Momentum: 48 kg·m/s.
null
phy_0703
worked_example
en
A mass of 16 kg moves at 3 m/s. Compute its momentum.
[ "p = m×v.", "p = 16 kg × 3 m/s.", "= 48 kg·m/s." ]
physics
Answer: Momentum: 48 kg·m/s. Steps: 1. p = m×v. 2. p = 16 kg × 3 m/s. 3. = 48 kg·m/s.
mechanics
Tiny gates switch big currents, amplifying signals into computers.
null
phy_0704
concept
en
What is a transistor?
[ "Tiny gates switch big currents, amplifying signals into computers.", "So the answer stands: Tiny gates switch big currents, amplifying signals into computers." ]
physics
Answer: Tiny gates switch big currents, amplifying signals into computers. Steps: 1. Tiny gates switch big currents, amplifying signals into computers. 2. So the answer stands: Tiny gates switch big currents, amplifying signals into computers.
electromagnetism
Temperature: 301 K.
null
phy_0705
worked_example
en
Temperature is 28 °C. Convert it to kelvin.
[ "Add 273.", "28 + 273.", "= 301 K." ]
physics
Answer: Temperature: 301 K. Steps: 1. Add 273. 2. 28 + 273. 3. = 301 K.
thermodynamics
Zdánlivá hloubka je 30 cm.
{ "A": "25 cm", "B": "35 cm", "C": "40 cm", "D": "30 cm" }
phy_0706
multiple_choice
cs
Předmět leží 45 cm hluboko ve skle (n = 1,5). Jaká je zdánlivá hloubka?
[ "d' = 45 cm / 1,5.", "d' = 30 cm.", "Vyber možnost D." ]
physics
Answer: 30 cm Steps: 1. d' = 45 cm / 1,5. 2. d' = 30 cm. 3. Vyber možnost D. Answer: (D)
optics
Pipes channel microwaves efficiently to antennas and ovens.
null
phy_0707
concept
en
Why waveguides?
[ "Pipes channel microwaves efficiently to antennas and ovens.", "So the answer stands: Pipes channel microwaves efficiently to antennas and ovens." ]
physics
Answer: Pipes channel microwaves efficiently to antennas and ovens. Steps: 1. Pipes channel microwaves efficiently to antennas and ovens. 2. So the answer stands: Pipes channel microwaves efficiently to antennas and ovens.
waves
Odpověď je pohybující se hodiny.
{ "A": "pohybující se hodiny", "B": "rozbité hodinky", "C": "zastavené minutky", "D": "ztracené telefony" }
phy_0708
multiple_choice
cs
Vyber: co tiká pomaleji?
[ "Miony potvrzují.", "Tedy: pohybující se hodiny.", "Vyber možnost A." ]
physics
Answer: pohybující se hodiny Steps: 1. Miony potvrzují. 2. Tedy: pohybující se hodiny. 3. Vyber možnost A. Answer: (A)
modern
Hybnost mv přetrvává srážkami.
null
phy_0709
concept
cs
Co je hybnost?
[ "Hybnost mv přetrvává srážkami.", "Odpověď tedy platí: Hybnost mv přetrvává srážkami." ]
physics
Answer: Hybnost mv přetrvává srážkami. Steps: 1. Hybnost mv přetrvává srážkami. 2. Odpověď tedy platí: Hybnost mv přetrvává srážkami.
mechanics
Voltage: 168 V.
null
phy_0710
worked_example
en
A current of 14 A flows through 12 Ω. Compute the voltage.
[ "V = I×R.", "V = 14 A × 12 Ω.", "= 168 V." ]
physics
Answer: Voltage: 168 V. Steps: 1. V = I×R. 2. V = 14 A × 12 Ω. 3. = 168 V.
electromagnetism
Efficiency is 70%.
{ "A": "60%", "B": "80%", "C": "90%", "D": "70%" }
phy_0711
multiple_choice
en
An engine turns 700 J of 1000 J heat into work. What is its efficiency?
[ "700 J / 1000 J.", "= 70%.", "Select option D." ]
physics
Answer: 70% Steps: 1. 700 J / 1000 J. 2. = 70%. 3. Select option D. Answer: (D)
thermodynamics
Time is 7 s.
{ "A": "8 s", "B": "9 s", "C": "6 s", "D": "7 s" }
phy_0712
multiple_choice
en
Light travels 21×10⁸ m. How many seconds does it take? (c = 3×10⁸ m/s)
[ "t = 21×10⁸ m / 3×10⁸ m/s.", "t = 7 s.", "Select option D." ]
physics
Answer: 7 s Steps: 1. t = 21×10⁸ m / 3×10⁸ m/s. 2. t = 7 s. 3. Select option D. Answer: (D)
optics
Odpověď je v rovná se fλ.
{ "A": "v rovná se fλ", "B": "E rovná se mc", "C": "F rovná se ma", "D": "pV rovná se nRT" }
phy_0713
multiple_choice
cs
Vyber: co váže rychlost a cykly?
[ "Hlavní vztah držen.", "Tedy: v rovná se fλ.", "Vyber možnost A." ]
physics
Answer: v rovná se fλ Steps: 1. Hlavní vztah držen. 2. Tedy: v rovná se fλ. 3. Vyber možnost A. Answer: (A)
waves
Survivors: 2800.
null
phy_0714
worked_example
en
A sample of 11200 atoms undergoes 2 half-lives. Compute the survivors.
[ "Halve: 11200 → 5600.", "Halve: 5600 → 2800.", "= 2800." ]
physics
Answer: Survivors: 2800. Steps: 1. Halve: 11200 → 5600. 2. Halve: 5600 → 2800. 3. = 2800.
modern
Net force: 30 N.
null
phy_0715
worked_example
en
A mass of 15 kg accelerates at 2 m/s². Compute the net force.
[ "F = m×a.", "F = 15 kg × 2 m/s².", "= 30 N." ]
physics
Answer: Net force: 30 N. Steps: 1. F = m×a. 2. F = 15 kg × 2 m/s². 3. = 30 N.
mechanics
Energy: 1800 J.
null
phy_0716
worked_example
en
A 100 W heater runs for 18 s. Compute the energy used.
[ "E = P×t.", "E = 100 W × 18 s.", "= 1800 J." ]
physics
Answer: Energy: 1800 J. Steps: 1. E = P×t. 2. E = 100 W × 18 s. 3. = 1800 J.
electromagnetism
Insulated mixing reveals unknown heats by balancing lost and gained energy.
null
phy_0717
concept
en
Why calorimetry?
[ "Insulated mixing reveals unknown heats by balancing lost and gained energy.", "So the answer stands: Insulated mixing reveals unknown heats by balancing lost and gained energy." ]
physics
Answer: Insulated mixing reveals unknown heats by balancing lost and gained energy. Steps: 1. Insulated mixing reveals unknown heats by balancing lost and gained energy. 2. So the answer stands: Insulated mixing reveals unknown heats by balancing lost and gained energy.
thermodynamics
Magnification: 15×.
null
phy_0718
worked_example
en
An image forms 150 cm from a lens, object at 10 cm. Compute the magnification.
[ "M = di/do.", "M = 150 cm / 10 cm.", "= 15×." ]
physics
Answer: Magnification: 15×. Steps: 1. M = di/do. 2. M = 150 cm / 10 cm. 3. = 15×.
optics
Long ocean waves race at jet speed with huge energy.
null
phy_0719
concept
en
What is a tsunami?
[ "Long ocean waves race at jet speed with huge energy.", "So the answer stands: Long ocean waves race at jet speed with huge energy." ]
physics
Answer: Long ocean waves race at jet speed with huge energy. Steps: 1. Long ocean waves race at jet speed with huge energy. 2. So the answer stands: Long ocean waves race at jet speed with huge energy.
waves
Paired electrons flow losslessly below critical cold.
null
phy_0720
concept
en
What is superconductivity?
[ "Paired electrons flow losslessly below critical cold.", "So the answer stands: Paired electrons flow losslessly below critical cold." ]
physics
Answer: Paired electrons flow losslessly below critical cold. Steps: 1. Paired electrons flow losslessly below critical cold. 2. So the answer stands: Paired electrons flow losslessly below critical cold.
modern
Speed is 16 m/s.
{ "A": "15 m/s", "B": "17 m/s", "C": "18 m/s", "D": "16 m/s" }
phy_0721
multiple_choice
en
A car travels 160 m in 10 s. What is its speed?
[ "v = 160 m / 10 s.", "v = 16 m/s.", "Select option D." ]
physics
Answer: 16 m/s Steps: 1. v = 160 m / 10 s. 2. v = 16 m/s. 3. Select option D. Answer: (D)
mechanics
Power is 96 W.
{ "A": "84 W", "B": "108 W", "C": "96 W", "D": "120 W" }
phy_0722
multiple_choice
en
A bulb runs at 12 V drawing 8 A. What is its power?
[ "P = 12 V × 8 A.", "P = 96 W.", "Select option C." ]
physics
Answer: 96 W Steps: 1. P = 12 V × 8 A. 2. P = 96 W. 3. Select option C. Answer: (C)
electromagnetism
Heat: 117208 J.
null
phy_0723
worked_example
en
How much heat warms 2 kg of water by 14 K? (c = 4186 J/(kg·K))
[ "Q = 2 kg × 4186 J/(kg·K) × 14 K.", "= 117208 J." ]
physics
Answer: Heat: 117208 J. Steps: 1. Q = 2 kg × 4186 J/(kg·K) × 14 K. 2. = 117208 J.
thermodynamics
It marks when two spots just separate, timing optics precisely.
null
phy_0724
concept
en
Why Rayleigh criterion?
[ "It marks when two spots just separate, timing optics precisely.", "So the answer stands: It marks when two spots just separate, timing optics precisely." ]
physics
Answer: It marks when two spots just separate, timing optics precisely. Steps: 1. It marks when two spots just separate, timing optics precisely. 2. So the answer stands: It marks when two spots just separate, timing optics precisely.
optics
Speed: 2550 m/s.
null
phy_0725
worked_example
en
A string wave has f = 850 Hz and λ = 3 m. Compute its speed.
[ "v = f×λ.", "v = 850 Hz × 3 m.", "= 2550 m/s." ]
physics
Answer: Speed: 2550 m/s. Steps: 1. v = f×λ. 2. v = 850 Hz × 3 m. 3. = 2550 m/s.
waves
Superposed qubits explore many paths at once for select tasks.
null
phy_0726
concept
en
Why quantum computers?
[ "Superposed qubits explore many paths at once for select tasks.", "So the answer stands: Superposed qubits explore many paths at once for select tasks." ]
physics
Answer: Superposed qubits explore many paths at once for select tasks. Steps: 1. Superposed qubits explore many paths at once for select tasks. 2. So the answer stands: Superposed qubits explore many paths at once for select tasks.
modern
Small swings take 2π√(L/g), depending on length, not on mass or amplitude.
null
phy_0727
concept
en
What is a pendulum's period?
[ "Small swings take 2π√(L/g), depending on length, not on mass or amplitude.", "So the answer stands: Small swings take 2π√(L/g), depending on length, not on mass or amplitude." ]
physics
Answer: Small swings take 2π√(L/g), depending on length, not on mass or amplitude. Steps: 1. Small swings take 2π√(L/g), depending on length, not on mass or amplitude. 2. So the answer stands: Small swings take 2π√(L/g), depending on length, not on mass or amplitude.
mechanics
Charge is 140 C.
{ "A": "120 C", "B": "160 C", "C": "180 C", "D": "140 C" }
phy_0728
multiple_choice
en
A current of 4 A flows for 35 s. How much charge passes?
[ "Q = 4 A × 35 s.", "Q = 140 C.", "Select option D." ]
physics
Answer: 140 C Steps: 1. Q = 4 A × 35 s. 2. Q = 140 C. 3. Select option D. Answer: (D)
electromagnetism
Temperature is 299 K.
{ "A": "298 K", "B": "300 K", "C": "299 K", "D": "301 K" }
phy_0729
multiple_choice
en
Room temperature is 26 °C. What is it in kelvin?
[ "26 °C + 273.", "= 299 K.", "Select option C." ]
physics
Answer: 299 K Steps: 1. 26 °C + 273. 2. = 299 K. 3. Select option C. Answer: (C)
thermodynamics
Time: 13.3 s.
null
phy_0730
worked_example
en
Light travels 40×10⁸ m. Compute the travel time. (c = 3×10⁸ m/s)
[ "t = d/c.", "t = 40×10⁸ / 3×10⁸ s.", "= 13.3 s." ]
physics
Answer: Time: 13.3 s. Steps: 1. t = d/c. 2. t = 40×10⁸ / 3×10⁸ s. 3. = 13.3 s.
optics
Odpověď je decibel.
{ "A": "metr", "B": "decibel", "C": "sekunda", "D": "gram" }
phy_0731
multiple_choice
cs
Vyber: co logaritmuje hlasitost?
[ "Výkon poměřen.", "Tedy: decibel.", "Vyber možnost B." ]
physics
Answer: decibel Steps: 1. Výkon poměřen. 2. Tedy: decibel. 3. Vyber možnost B. Answer: (B)
waves
Lines: 136.
null
phy_0732
worked_example
en
An atom is excited to level n = 17. Count the spectral lines it can emit.
[ "Pairs: 17×16/2.", "= 272/2.", "= 136." ]
physics
Answer: Lines: 136. Steps: 1. Pairs: 17×16/2. 2. = 272/2. 3. = 136.
modern
Driving at natural frequency pumps amplitude hugely, shattering glasses and bridges.
null
phy_0733
concept
en
Why resonance?
[ "Driving at natural frequency pumps amplitude hugely, shattering glasses and bridges.", "So the answer stands: Driving at natural frequency pumps amplitude hugely, shattering glasses and bridges." ]
physics
Answer: Driving at natural frequency pumps amplitude hugely, shattering glasses and bridges. Steps: 1. Driving at natural frequency pumps amplitude hugely, shattering glasses and bridges. 2. So the answer stands: Driving at natural frequency pumps amplitude hugely, shattering glasses and bridges.
mechanics
Srážky uvnitř vodičů brání driftu.
null
phy_0734
concept
cs
Proč odpor?
[ "Srážky uvnitř vodičů brání driftu.", "Odpověď tedy platí: Srážky uvnitř vodičů brání driftu." ]
physics
Answer: Srážky uvnitř vodičů brání driftu. Steps: 1. Srážky uvnitř vodičů brání driftu. 2. Odpověď tedy platí: Srážky uvnitř vodičů brání driftu.
electromagnetism
It rates heat flow per gradient, high in copper, low in wool.
null
phy_0735
concept
en
What is thermal conductivity?
[ "It rates heat flow per gradient, high in copper, low in wool.", "So the answer stands: It rates heat flow per gradient, high in copper, low in wool." ]
physics
Answer: It rates heat flow per gradient, high in copper, low in wool. Steps: 1. It rates heat flow per gradient, high in copper, low in wool. 2. So the answer stands: It rates heat flow per gradient, high in copper, low in wool.
thermodynamics
Apparent depth is 80 cm.
{ "A": "80 cm", "B": "75 cm", "C": "85 cm", "D": "90 cm" }
phy_0736
multiple_choice
en
An object sits 120 cm deep in glass (n = 1.5). What is the apparent depth?
[ "d' = 120 cm / 1.5.", "d' = 80 cm.", "Select option A." ]
physics
Answer: 80 cm Steps: 1. d' = 120 cm / 1.5. 2. d' = 80 cm. 3. Select option A. Answer: (A)
optics
Distance: 5100 m.
null
phy_0737
worked_example
en
Thunder is heard 15 s after lightning. How far away is the storm? (v = 340 m/s)
[ "d = v×t.", "d = 340 m/s × 15 s.", "= 5100 m." ]
physics
Answer: Distance: 5100 m. Steps: 1. d = v×t. 2. d = 340 m/s × 15 s. 3. = 5100 m.
waves
The answer is Pauli fermions.
{ "A": "Pauli fermions", "B": "Chatty neighbours", "C": "Noisy crowds", "D": "Busy bees" }
phy_0738
multiple_choice
en
Choose: what shares no state?
[ "Table built.", "So: Pauli fermions.", "Select option A." ]
physics
Answer: Pauli fermions Steps: 1. Table built. 2. So: Pauli fermions. 3. Select option A. Answer: (A)
modern
Kinetic energy is 100 J.
{ "A": "100 J", "B": "90 J", "C": "110 J", "D": "120 J" }
phy_0739
multiple_choice
en
A 2 kg ball moves at 10 m/s. What is its kinetic energy?
[ "KE = ½×2 kg×(10 m/s)².", "KE = 100 J.", "Select option A." ]
physics
Answer: 100 J Steps: 1. KE = ½×2 kg×(10 m/s)². 2. KE = 100 J. 3. Select option A. Answer: (A)
mechanics
Zero resistance below critical temperature carries current forever losslessly.
null
phy_0740
concept
en
Why superconductors?
[ "Zero resistance below critical temperature carries current forever losslessly.", "So the answer stands: Zero resistance below critical temperature carries current forever losslessly." ]
physics
Answer: Zero resistance below critical temperature carries current forever losslessly. Steps: 1. Zero resistance below critical temperature carries current forever losslessly. 2. So the answer stands: Zero resistance below critical temperature carries current forever losslessly.
electromagnetism
Teplota: 291 K.
null
phy_0741
worked_example
cs
Teplota je 18 °C. Převeď ji na kelviny.
[ "Přičti 273.", "18 + 273.", "= 291 K." ]
physics
Answer: Teplota: 291 K. Steps: 1. Přičti 273. 2. 18 + 273. 3. = 291 K.
thermodynamics
Stimulated emission makes coherent intense beams, cutting and reading precisely.
null
phy_0742
concept
en
What is a laser?
[ "Stimulated emission makes coherent intense beams, cutting and reading precisely.", "So the answer stands: Stimulated emission makes coherent intense beams, cutting and reading precisely." ]
physics
Answer: Stimulated emission makes coherent intense beams, cutting and reading precisely. Steps: 1. Stimulated emission makes coherent intense beams, cutting and reading precisely. 2. So the answer stands: Stimulated emission makes coherent intense beams, cutting and reading precisely.
optics
3rd harmonic is 480 Hz.
{ "A": "450 Hz", "B": "510 Hz", "C": "540 Hz", "D": "480 Hz" }
phy_0743
multiple_choice
en
A string's fundamental is 160 Hz. What is its 3rd harmonic?
[ "f3 = 3 × 160 Hz.", "f3 = 480 Hz.", "Select option D." ]
physics
Answer: 480 Hz Steps: 1. f3 = 3 × 160 Hz. 2. f3 = 480 Hz. 3. Select option D. Answer: (D)
waves
600 atoms remain.
{ "A": "550", "B": "600", "C": "650", "D": "700" }
phy_0744
multiple_choice
en
A sample of 2400 atoms undergoes 2 half-lives. How many remain?
[ "Halve twice: 2400 → 1200 → 600.", "Left: 600.", "Select option B." ]
physics
Answer: 600 Steps: 1. Halve twice: 2400 → 1200 → 600. 2. Left: 600. 3. Select option B. Answer: (B)
modern
Net force is 27 N.
{ "A": "24 N", "B": "30 N", "C": "33 N", "D": "27 N" }
phy_0745
multiple_choice
en
A mass of 9 kg accelerates at 3 m/s². What is the net force?
[ "F = 9 kg × 3 m/s².", "F = 27 N.", "Select option D." ]
physics
Answer: 27 N Steps: 1. F = 9 kg × 3 m/s². 2. F = 27 N. 3. Select option D. Answer: (D)
mechanics
Voltage is 40 V.
{ "A": "35 V", "B": "45 V", "C": "40 V", "D": "50 V" }
phy_0746
multiple_choice
en
A current of 8 A flows through 5 Ω. What is the voltage?
[ "V = 8 A × 5 Ω.", "V = 40 V.", "Select option C." ]
physics
Answer: 40 V Steps: 1. V = 8 A × 5 Ω. 2. V = 40 V. 3. Select option C. Answer: (C)
electromagnetism
Odpověď je Carnotova mez.
{ "A": "rychlostní limit", "B": "Carnotova mez", "C": "váhový limit", "D": "věkový limit" }
phy_0747
multiple_choice
cs
Vyber: co stropuje všechny stroje?
[ "Poměr teplot váže.", "Tedy: Carnotova mez.", "Vyber možnost B." ]
physics
Answer: Carnotova mez Steps: 1. Poměr teplot váže. 2. Tedy: Carnotova mez. 3. Vyber možnost B. Answer: (B)
thermodynamics
Apparent depth: 150 cm.
null
phy_0748
worked_example
en
An object sits 225 cm deep in glass (n = 1.5). Compute the apparent depth.
[ "d' = d/n.", "d' = 225 cm / 1.5.", "= 150 cm." ]
physics
Answer: Apparent depth: 150 cm. Steps: 1. d' = d/n. 2. d' = 225 cm / 1.5. 3. = 150 cm.
optics
Speed is 800 m/s.
{ "A": "750 m/s", "B": "850 m/s", "C": "800 m/s", "D": "900 m/s" }
phy_0749
multiple_choice
en
A string wave has f = 400 Hz and λ = 2 m. What is its speed?
[ "v = 400 Hz × 2 m.", "v = 800 m/s.", "Select option C." ]
physics
Answer: 800 m/s Steps: 1. v = 400 Hz × 2 m. 2. v = 800 m/s. 3. Select option C. Answer: (C)
waves
Mikrosvět se řídí vlnovými pravidly.
null
phy_0750
concept
cs
Co je kvantová mechanika?
[ "Mikrosvět se řídí vlnovými pravidly.", "Odpověď tedy platí: Mikrosvět se řídí vlnovými pravidly." ]
physics
Answer: Mikrosvět se řídí vlnovými pravidly. Steps: 1. Mikrosvět se řídí vlnovými pravidly. 2. Odpověď tedy platí: Mikrosvět se řídí vlnovými pravidly.
modern
Speed is 17 m/s.
{ "A": "17 m/s", "B": "16 m/s", "C": "18 m/s", "D": "19 m/s" }
phy_0751
multiple_choice
en
A car travels 170 m in 10 s. What is its speed?
[ "v = 170 m / 10 s.", "v = 17 m/s.", "Select option A." ]
physics
Answer: 17 m/s Steps: 1. v = 170 m / 10 s. 2. v = 17 m/s. 3. Select option A. Answer: (A)
mechanics
Sideways voltage reveals charge sign and density in conductors.
null
phy_0752
concept
en
What is Hall effect?
[ "Sideways voltage reveals charge sign and density in conductors.", "So the answer stands: Sideways voltage reveals charge sign and density in conductors." ]
physics
Answer: Sideways voltage reveals charge sign and density in conductors. Steps: 1. Sideways voltage reveals charge sign and density in conductors. 2. So the answer stands: Sideways voltage reveals charge sign and density in conductors.
electromagnetism
Trapped air slows conduction and convection, keeping houses warm cheaply.
null
phy_0753
concept
en
Why insulation?
[ "Trapped air slows conduction and convection, keeping houses warm cheaply.", "So the answer stands: Trapped air slows conduction and convection, keeping houses warm cheaply." ]
physics
Answer: Trapped air slows conduction and convection, keeping houses warm cheaply. Steps: 1. Trapped air slows conduction and convection, keeping houses warm cheaply. 2. So the answer stands: Trapped air slows conduction and convection, keeping houses warm cheaply.
thermodynamics
Magnification: 16×.
null
phy_0754
worked_example
en
An image forms 160 cm from a lens, object at 10 cm. Compute the magnification.
[ "M = di/do.", "M = 160 cm / 10 cm.", "= 16×." ]
physics
Answer: Magnification: 16×. Steps: 1. M = di/do. 2. M = 160 cm / 10 cm. 3. = 16×.
optics
Tides are slow gravitational sloshes, not wind-driven waves.
null
phy_0755
concept
en
Why tides differ?
[ "Tides are slow gravitational sloshes, not wind-driven waves.", "So the answer stands: Tides are slow gravitational sloshes, not wind-driven waves." ]
physics
Answer: Tides are slow gravitational sloshes, not wind-driven waves. Steps: 1. Tides are slow gravitational sloshes, not wind-driven waves. 2. So the answer stands: Tides are slow gravitational sloshes, not wind-driven waves.
waves
Čar: 21.
null
phy_0756
worked_example
cs
Atom je vybuzen do hladiny n = 7. Spočítej čáry, jež může vyzářit.
[ "Dvojice: 7×6/2.", "= 42/2.", "= 21." ]
physics
Answer: Čar: 21. Steps: 1. Dvojice: 7×6/2. 2. = 42/2. 3. = 21.
modern
Work: 280 J.
null
phy_0757
worked_example
en
A force of 70 N pushes 4 m. Compute the work done.
[ "W = F×d.", "W = 70 N × 4 m.", "= 280 J." ]
physics
Answer: Work: 280 J. Steps: 1. W = F×d. 2. W = 70 N × 4 m. 3. = 280 J.
mechanics
Power: 675 W.
null
phy_0758
worked_example
en
A current of 15 A flows through 3 Ω. Compute the dissipated power.
[ "P = I²×R.", "P = (15 A)² × 3 Ω.", "= 675 W." ]
physics
Answer: Power: 675 W. Steps: 1. P = I²×R. 2. P = (15 A)² × 3 Ω. 3. = 675 W.
electromagnetism
Power: 180 W.
null
phy_0759
worked_example
en
An engine does 1800 J of work in 10 s. Compute its power.
[ "P = W/t.", "P = 1800 J / 10 s.", "= 180 W." ]
physics
Answer: Power: 180 W. Steps: 1. P = W/t. 2. P = 1800 J / 10 s. 3. = 180 W.
thermodynamics
Magnification is 9×.
{ "A": "8×", "B": "10×", "C": "11×", "D": "9×" }
phy_0760
multiple_choice
en
An image forms 90 cm from a lens, object at 10 cm. What is the magnification?
[ "M = 90 cm / 10 cm.", "M = 9×.", "Select option D." ]
physics
Answer: 9× Steps: 1. M = 90 cm / 10 cm. 2. M = 9×. 3. Select option D. Answer: (D)
optics
3rd harmonic: 690 Hz.
null
phy_0761
worked_example
en
A string's fundamental is 230 Hz. Compute its 3rd harmonic.
[ "f3 = 3×f1.", "f3 = 3 × 230 Hz.", "= 690 Hz." ]
physics
Answer: 3rd harmonic: 690 Hz. Steps: 1. f3 = 3×f1. 2. f3 = 3 × 230 Hz. 3. = 690 Hz.
waves
Mass number: 33.
null
phy_0762
worked_example
en
A nucleus has 16 protons and 17 neutrons. Compute its mass number.
[ "A = Z+N.", "A = 16 + 17.", "= 33." ]
physics
Answer: Mass number: 33. Steps: 1. A = Z+N. 2. A = 16 + 17. 3. = 33.
modern
Momentum: 51 kg·m/s.
null
phy_0763
worked_example
en
A mass of 17 kg moves at 3 m/s. Compute its momentum.
[ "p = m×v.", "p = 17 kg × 3 m/s.", "= 51 kg·m/s." ]
physics
Answer: Momentum: 51 kg·m/s. Steps: 1. p = m×v. 2. p = 17 kg × 3 m/s. 3. = 51 kg·m/s.
mechanics
Výkon UI ve wattech.
null
phy_0764
concept
cs
Co je elektrický výkon?
[ "Výkon UI ve wattech.", "Odpověď tedy platí: Výkon UI ve wattech." ]
physics
Answer: Výkon UI ve wattech. Steps: 1. Výkon UI ve wattech. 2. Odpověď tedy platí: Výkon UI ve wattech.
electromagnetism
Hot objects glow with spectra set by temperature alone, founding quantum theory.
null
phy_0765
concept
en
What is blackbody radiation?
[ "Hot objects glow with spectra set by temperature alone, founding quantum theory.", "So the answer stands: Hot objects glow with spectra set by temperature alone, founding quantum theory." ]
physics
Answer: Hot objects glow with spectra set by temperature alone, founding quantum theory. Steps: 1. Hot objects glow with spectra set by temperature alone, founding quantum theory. 2. So the answer stands: Hot objects glow with spectra set by temperature alone, founding quantum theory.
thermodynamics
Time is 8 s.
{ "A": "8 s", "B": "9 s", "C": "10 s", "D": "7 s" }
phy_0766
multiple_choice
en
Light travels 24×10⁸ m. How many seconds does it take? (c = 3×10⁸ m/s)
[ "t = 24×10⁸ m / 3×10⁸ m/s.", "t = 8 s.", "Select option A." ]
physics
Answer: 8 s Steps: 1. t = 24×10⁸ m / 3×10⁸ m/s. 2. t = 8 s. 3. Select option A. Answer: (A)
optics
Period is 0.12 s.
{ "A": "0.11 s", "B": "0.1 s", "C": "0.14 s", "D": "0.12 s" }
phy_0767
multiple_choice
en
A wave has frequency 8 Hz. What is its period?
[ "T = 1 / 8 Hz.", "T = 0.12 s.", "Select option D." ]
physics
Answer: 0.12 s Steps: 1. T = 1 / 8 Hz. 2. T = 0.12 s. 3. Select option D. Answer: (D)
waves
Survivors: 3000.
null
phy_0768
worked_example
en
A sample of 12000 atoms undergoes 2 half-lives. Compute the survivors.
[ "Halve: 12000 → 6000.", "Halve: 6000 → 3000.", "= 3000." ]
physics
Answer: Survivors: 3000. Steps: 1. Halve: 12000 → 6000. 2. Halve: 6000 → 3000. 3. = 3000.
modern
It is the speed to leave a planet forever, 11.2 km/s from Earth.
null
phy_0769
concept
en
What is escape velocity?
[ "It is the speed to leave a planet forever, 11.2 km/s from Earth.", "So the answer stands: It is the speed to leave a planet forever, 11.2 km/s from Earth." ]
physics
Answer: It is the speed to leave a planet forever, 11.2 km/s from Earth. Steps: 1. It is the speed to leave a planet forever, 11.2 km/s from Earth. 2. So the answer stands: It is the speed to leave a planet forever, 11.2 km/s from Earth.
mechanics
Napětí: 48 V.
null
phy_0770
worked_example
cs
Proud 4 A teče přes 12 Ω. Spočítej napětí.
[ "U = I×R.", "U = 4 A × 12 Ω.", "= 48 V." ]
physics
Answer: Napětí: 48 V. Steps: 1. U = I×R. 2. U = 4 A × 12 Ω. 3. = 48 V.
electromagnetism
Radiated power scales with T⁴, so small heating boosts glow hugely.
null
phy_0771
concept
en
Why Stefan-Boltzmann?
[ "Radiated power scales with T⁴, so small heating boosts glow hugely.", "So the answer stands: Radiated power scales with T⁴, so small heating boosts glow hugely." ]
physics
Answer: Radiated power scales with T⁴, so small heating boosts glow hugely. Steps: 1. Radiated power scales with T⁴, so small heating boosts glow hugely. 2. So the answer stands: Radiated power scales with T⁴, so small heating boosts glow hugely.
thermodynamics
Time: 14.3 s.
null
phy_0772
worked_example
en
Light travels 43×10⁸ m. Compute the travel time. (c = 3×10⁸ m/s)
[ "t = d/c.", "t = 43×10⁸ / 3×10⁸ s.", "= 14.3 s." ]
physics
Answer: Time: 14.3 s. Steps: 1. t = d/c. 2. t = 43×10⁸ / 3×10⁸ s. 3. = 14.3 s.
optics
Abrupt pressure jumps from blasts outrun sound itself.
null
phy_0773
concept
en
What is a shock wave?
[ "Abrupt pressure jumps from blasts outrun sound itself.", "So the answer stands: Abrupt pressure jumps from blasts outrun sound itself." ]
physics
Answer: Abrupt pressure jumps from blasts outrun sound itself. Steps: 1. Abrupt pressure jumps from blasts outrun sound itself. 2. So the answer stands: Abrupt pressure jumps from blasts outrun sound itself.
waves
Lines: 153.
null
phy_0774
worked_example
en
An atom is excited to level n = 18. Count the spectral lines it can emit.
[ "Pairs: 18×17/2.", "= 306/2.", "= 153." ]
physics
Answer: Lines: 153. Steps: 1. Pairs: 18×17/2. 2. = 306/2. 3. = 153.
modern
Net force: 32 N.
null
phy_0775
worked_example
en
A mass of 16 kg accelerates at 2 m/s². Compute the net force.
[ "F = m×a.", "F = 16 kg × 2 m/s².", "= 32 N." ]
physics
Answer: Net force: 32 N. Steps: 1. F = m×a. 2. F = 16 kg × 2 m/s². 3. = 32 N.
mechanics
Power is 108 W.
{ "A": "96 W", "B": "120 W", "C": "132 W", "D": "108 W" }
phy_0776
multiple_choice
en
A bulb runs at 12 V drawing 9 A. What is its power?
[ "P = 12 V × 9 A.", "P = 108 W.", "Select option D." ]
physics
Answer: 108 W Steps: 1. P = 12 V × 9 A. 2. P = 108 W. 3. Select option D. Answer: (D)
electromagnetism
Temperature: 302 K.
null
phy_0777
worked_example
en
Temperature is 29 °C. Convert it to kelvin.
[ "Add 273.", "29 + 273.", "= 302 K." ]
physics
Answer: Temperature: 302 K. Steps: 1. Add 273. 2. 29 + 273. 3. = 302 K.
thermodynamics
Locked phases let beams interfere and focus tightly over distance.
null
phy_0778
concept
en
Why coherence matters?
[ "Locked phases let beams interfere and focus tightly over distance.", "So the answer stands: Locked phases let beams interfere and focus tightly over distance." ]
physics
Answer: Locked phases let beams interfere and focus tightly over distance. Steps: 1. Locked phases let beams interfere and focus tightly over distance. 2. So the answer stands: Locked phases let beams interfere and focus tightly over distance.
optics
Speed: 2700 m/s.
null
phy_0779
worked_example
en
A string wave has f = 900 Hz and λ = 3 m. Compute its speed.
[ "v = f×λ.", "v = 900 Hz × 3 m.", "= 2700 m/s." ]
physics
Answer: Speed: 2700 m/s. Steps: 1. v = f×λ. 2. v = 900 Hz × 3 m. 3. = 2700 m/s.
waves
Environment leaks quantumness away, turning blends classical.
null
phy_0780
concept
en
What is decoherence?
[ "Environment leaks quantumness away, turning blends classical.", "So the answer stands: Environment leaks quantumness away, turning blends classical." ]
physics
Answer: Environment leaks quantumness away, turning blends classical. Steps: 1. Environment leaks quantumness away, turning blends classical. 2. So the answer stands: Environment leaks quantumness away, turning blends classical.
modern
Work: 300 J.
null
phy_0781
worked_example
en
A force of 75 N pushes 4 m. Compute the work done.
[ "W = F×d.", "W = 75 N × 4 m.", "= 300 J." ]
physics
Answer: Work: 300 J. Steps: 1. W = F×d. 2. W = 75 N × 4 m. 3. = 300 J.
mechanics
Voltage: 180 V.
null
phy_0782
worked_example
en
A current of 15 A flows through 12 Ω. Compute the voltage.
[ "V = I×R.", "V = 15 A × 12 Ω.", "= 180 V." ]
physics
Answer: Voltage: 180 V. Steps: 1. V = I×R. 2. V = 15 A × 12 Ω. 3. = 180 V.
electromagnetism
Heat needed is 33488 J.
{ "A": "29302 J", "B": "37674 J", "C": "41860 J", "D": "33488 J" }
phy_0783
multiple_choice
en
How much heat warms 1 kg of water by 8 K? (c = 4186 J/(kg·K))
[ "Q = 1 kg × 4186 J/(kg·K) × 8 K.", "Q = 33488 J.", "Select option D." ]
physics
Answer: 33488 J Steps: 1. Q = 1 kg × 4186 J/(kg·K) × 8 K. 2. Q = 33488 J. 3. Select option D. Answer: (D)
thermodynamics
Recorded interference rebuilds 3D light fields viewable around.
null
phy_0784
concept
en
What is holography?
[ "Recorded interference rebuilds 3D light fields viewable around.", "So the answer stands: Recorded interference rebuilds 3D light fields viewable around." ]
physics
Answer: Recorded interference rebuilds 3D light fields viewable around. Steps: 1. Recorded interference rebuilds 3D light fields viewable around. 2. So the answer stands: Recorded interference rebuilds 3D light fields viewable around.
optics
3rd harmonic is 510 Hz.
{ "A": "510 Hz", "B": "480 Hz", "C": "540 Hz", "D": "570 Hz" }
phy_0785
multiple_choice
en
A string's fundamental is 170 Hz. What is its 3rd harmonic?
[ "f3 = 3 × 170 Hz.", "f3 = 510 Hz.", "Select option A." ]
physics
Answer: 510 Hz Steps: 1. f3 = 3 × 170 Hz. 2. f3 = 510 Hz. 3. Select option A. Answer: (A)
waves
Conjugate pairs share spread limits set by Planck's constant.
null
phy_0786
concept
en
Why uncertainty?
[ "Conjugate pairs share spread limits set by Planck's constant.", "So the answer stands: Conjugate pairs share spread limits set by Planck's constant." ]
physics
Answer: Conjugate pairs share spread limits set by Planck's constant. Steps: 1. Conjugate pairs share spread limits set by Planck's constant. 2. So the answer stands: Conjugate pairs share spread limits set by Planck's constant.
modern
Kinetic energy is 121 J.
{ "A": "110 J", "B": "121 J", "C": "132 J", "D": "143 J" }
phy_0787
multiple_choice
en
A 2 kg ball moves at 11 m/s. What is its kinetic energy?
[ "KE = ½×2 kg×(11 m/s)².", "KE = 121 J.", "Select option B." ]
physics
Answer: 121 J Steps: 1. KE = ½×2 kg×(11 m/s)². 2. KE = 121 J. 3. Select option B. Answer: (B)
mechanics
Napětí je 15 V.
{ "A": "10 V", "B": "15 V", "C": "20 V", "D": "25 V" }
phy_0788
multiple_choice
cs
Proud 3 A teče přes 5 Ω. Jaké je napětí?
[ "U = 3 A × 5 Ω.", "U = 15 V.", "Vyber možnost B." ]
physics
Answer: 15 V Steps: 1. U = 3 A × 5 Ω. 2. U = 15 V. 3. Vyber možnost B. Answer: (B)
electromagnetism
Efficiency is 80%.
{ "A": "80%", "B": "70%", "C": "90%", "D": "100%" }
phy_0789
multiple_choice
en
An engine turns 800 J of 1000 J heat into work. What is its efficiency?
[ "800 J / 1000 J.", "= 80%.", "Select option A." ]
physics
Answer: 80% Steps: 1. 800 J / 1000 J. 2. = 80%. 3. Select option A. Answer: (A)
thermodynamics
Sklo ohýbá barvy různě.
null
phy_0790
concept
cs
Co je rozklad světla?
[ "Sklo ohýbá barvy různě.", "Odpověď tedy platí: Sklo ohýbá barvy různě." ]
physics
Answer: Sklo ohýbá barvy různě. Steps: 1. Sklo ohýbá barvy různě. 2. Odpověď tedy platí: Sklo ohýbá barvy různě.
optics
Distance: 5440 m.
null
phy_0791
worked_example
en
Thunder is heard 16 s after lightning. How far away is the storm? (v = 340 m/s)
[ "d = v×t.", "d = 340 m/s × 16 s.", "= 5440 m." ]
physics
Answer: Distance: 5440 m. Steps: 1. d = v×t. 2. d = 340 m/s × 16 s. 3. = 5440 m.
waves
Intrinsic angular momentum with two outcomes, not real rotation.
null
phy_0792
concept
en
What is spin?
[ "Intrinsic angular momentum with two outcomes, not real rotation.", "So the answer stands: Intrinsic angular momentum with two outcomes, not real rotation." ]
physics
Answer: Intrinsic angular momentum with two outcomes, not real rotation. Steps: 1. Intrinsic angular momentum with two outcomes, not real rotation. 2. So the answer stands: Intrinsic angular momentum with two outcomes, not real rotation.
modern
Inverse-square gravity binds planets to ellipses, with speed varying by distance.
null
phy_0793
concept
en
Why orbits ellipse?
[ "Inverse-square gravity binds planets to ellipses, with speed varying by distance.", "So the answer stands: Inverse-square gravity binds planets to ellipses, with speed varying by distance." ]
physics
Answer: Inverse-square gravity binds planets to ellipses, with speed varying by distance. Steps: 1. Inverse-square gravity binds planets to ellipses, with speed varying by distance. 2. So the answer stands: Inverse-square gravity binds planets to ellipses, with speed varying by distance.
mechanics
Příkon je 48 W.
{ "A": "36 W", "B": "60 W", "C": "48 W", "D": "72 W" }
phy_0794
multiple_choice
cs
Žárovka běží na 12 V a bere 4 A. Jaký je její příkon?
[ "P = 12 V × 4 A.", "P = 48 W.", "Vyber možnost C." ]
physics
Answer: 48 W Steps: 1. P = 12 V × 4 A. 2. P = 48 W. 3. Vyber možnost C. Answer: (C)
electromagnetism
Mění tok tepla v práci.
null
phy_0795
concept
cs
Proč tepelné stroje?
[ "Mění tok tepla v práci.", "Odpověď tedy platí: Mění tok tepla v práci." ]
physics
Answer: Mění tok tepla v práci. Steps: 1. Mění tok tepla v práci. 2. Odpověď tedy platí: Mění tok tepla v práci.
thermodynamics
Total reflection pipes light for kilometres, carrying internet globally.
null
phy_0796
concept
en
Why fibre optics?
[ "Total reflection pipes light for kilometres, carrying internet globally.", "So the answer stands: Total reflection pipes light for kilometres, carrying internet globally." ]
physics
Answer: Total reflection pipes light for kilometres, carrying internet globally. Steps: 1. Total reflection pipes light for kilometres, carrying internet globally. 2. So the answer stands: Total reflection pipes light for kilometres, carrying internet globally.
optics
Speed is 900 m/s.
{ "A": "850 m/s", "B": "950 m/s", "C": "1000 m/s", "D": "900 m/s" }
phy_0797
multiple_choice
en
A string wave has f = 450 Hz and λ = 2 m. What is its speed?
[ "v = 450 Hz × 2 m.", "v = 900 m/s.", "Select option D." ]
physics
Answer: 900 m/s Steps: 1. v = 450 Hz × 2 m. 2. v = 900 m/s. 3. Select option D. Answer: (D)
waves
Vázané soustavy dovolují jen žebřík energií.
null
phy_0798
concept
cs
Proč kvantování?
[ "Vázané soustavy dovolují jen žebřík energií.", "Odpověď tedy platí: Vázané soustavy dovolují jen žebřík energií." ]
physics
Answer: Vázané soustavy dovolují jen žebřík energií. Steps: 1. Vázané soustavy dovolují jen žebřík energií. 2. Odpověď tedy platí: Vázané soustavy dovolují jen žebřík energií.
modern
Orbital period squared scales with distance cubed, timing every planet exactly.
null
phy_0799
concept
en
What is Kepler's third law?
[ "Orbital period squared scales with distance cubed, timing every planet exactly.", "So the answer stands: Orbital period squared scales with distance cubed, timing every planet exactly." ]
physics
Answer: Orbital period squared scales with distance cubed, timing every planet exactly. Steps: 1. Orbital period squared scales with distance cubed, timing every planet exactly. 2. So the answer stands: Orbital period squared scales with distance cubed, timing every planet exactly.
mechanics
Charge is 160 C.
{ "A": "160 C", "B": "140 C", "C": "180 C", "D": "200 C" }
phy_0800
multiple_choice
en
A current of 4 A flows for 40 s. How much charge passes?
[ "Q = 4 A × 40 s.", "Q = 160 C.", "Select option A." ]
physics
Answer: 160 C Steps: 1. Q = 4 A × 40 s. 2. Q = 160 C. 3. Select option A. Answer: (A)
electromagnetism