Panhellenic Exams / Physics / Curriculum
Κύματα: structured theory, worked examples, answered practice, and a mastery checklist for Panhellenic Exams.
Розділ
Ключові ідеї глави у зрозумілій послідовності перед практикою.
A wave transfers energy and information without net transfer of matter. Distinguish amplitude, wavelength, period, and frequency.
The relation v = fλ connects the medium and the oscillation. At a boundary, source frequency stays fixed while speed and wavelength may change.
Use the normal, angles, and wavefronts. Superposition adds displacements without permanently changing the component waves.
For “Αρμονικά κύματα”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.
For “Συμβολή”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.
For “Στάσιμα κύματα”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.
For “Κυματικά φαινόμενα της εξεταστέας ύλης”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.
Physics
Дотримуйтесь методу крок за кроком і перевіряйте обґрунтування.
A wave has frequency 4 Hz and wavelength 3.5 m. Find its speed.
v = 14 m/s
Before calculating, explain the key idea from “Αρμονικά κύματα” and which conditions must be checked.
The answer should show not only which rule is used for “Αρμονικά κύματα”, but also why it is valid here.
Κύματα
Вісім завдань від базових навичок до екзаменаційного рівня. Спочатку виконайте самостійно.
A wave has f=6 Hz and λ=3 m. Find speed.
v=fλ.
v=18 m/s.
Structure a solution for “Συμβολή”: givens, SI units, law, substitution, and interpretation.
State the law before substituting numbers.
A full solution states symbols/units, selects a valid law for “Συμβολή”, shows substitution and calculation, and interprets the result.
Identify three uncertainty sources in measuring “Στάσιμα κύματα” and improve each one.
Consider instrument resolution, reaction time, repeats, and controls.
A full response links each specific error source to a targeted improvement and identifies random or systematic impact.
Plan a suitable graph for “Κυματικά φαινόμενα της εξεταστέας ύλης” data and explain how to obtain a gradient or relationship.
Put the independent variable on x and dependent variable on y.
A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.
Check whether a result for “Αρμονικά κύματα” is sensible using units, order of magnitude, and a limiting case.
A check should not merely repeat the same calculation.
A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.
Connect “Συμβολή” to energy conservation or a force/field model and justify the choice.
Define the system and interactions.
A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.
Write a multi-step exam response about “Στάσιμα κύματα” with calculation and evaluation.
Separate givens, model, calculation, result, and evaluation.
A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.
Compare two methods for investigating “Κυματικά φαινόμενα της εξεταστέας ύλης” and select the more reliable using criteria.
Use accuracy, repeatability, control, and safety.
The choice must use at least three comparable criteria and acknowledge one trade-off or limitation.
Κύματα
Шість різних завдань від базового рівня до складного з часом, підказками та відповідями.
Homework 1: A wave has f=9 Hz and λ=1 m. Find speed.
v=fλ.
v=9 m/s.
Homework 2: Structure a solution for “Συμβολή”: givens, SI units, law, substitution, and interpretation.
State the law before substituting numbers.
A full solution states symbols/units, selects a valid law for “Συμβολή”, shows substitution and calculation, and interprets the result.
Homework 3: Identify three uncertainty sources in measuring “Στάσιμα κύματα” and improve each one.
Consider instrument resolution, reaction time, repeats, and controls.
A full response links each specific error source to a targeted improvement and identifies random or systematic impact.
Homework 4: Plan a suitable graph for “Κυματικά φαινόμενα της εξεταστέας ύλης” data and explain how to obtain a gradient or relationship.
Put the independent variable on x and dependent variable on y.
A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.
Homework 5: Check whether a result for “Αρμονικά κύματα” is sensible using units, order of magnitude, and a limiting case.
A check should not merely repeat the same calculation.
A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.
Homework 6: Connect “Συμβολή” to energy conservation or a force/field model and justify the choice.
Define the system and interactions.
A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.
50 хвилин / 40 балів
Повний тест із таймером, балами та зразками відповідей.
Start the timer when ready, work without notes, show every step, and open model answers only after finishing.
1. A wave has f=7 Hz and λ=1 m. Find speed.
2 балівv=7 m/s.
2. Structure a solution for “Συμβολή”: givens, SI units, law, substitution, and interpretation.
3 балівA full solution states symbols/units, selects a valid law for “Συμβολή”, shows substitution and calculation, and interprets the result.
3. Identify three uncertainty sources in measuring “Στάσιμα κύματα” and improve each one.
3 балівA full response links each specific error source to a targeted improvement and identifies random or systematic impact.
4. Plan a suitable graph for “Κυματικά φαινόμενα της εξεταστέας ύλης” data and explain how to obtain a gradient or relationship.
4 балівA full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.
5. Check whether a result for “Αρμονικά κύματα” is sensible using units, order of magnitude, and a limiting case.
4 балівA full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.
6. Connect “Συμβολή” to energy conservation or a force/field model and justify the choice.
4 балівA full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.
7. Write a multi-step exam response about “Στάσιμα κύματα” with calculation and evaluation.
5 балівA full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.
8. Compare two methods for investigating “Κυματικά φαινόμενα της εξεταστέας ύλης” and select the more reliable using criteria.
5 балівThe choice must use at least three comparable criteria and acknowledge one trade-off or limitation.
9. Create an extension question about “Αρμονικά κύματα”, a prediction, and a data-collection plan.
5 балівA full response gives a testable question, justified prediction, independent-variable range, repeats, and an analysis method.
10. A wave has f=6 Hz and λ=2.5 m. Find speed.
5 балівv=15 m/s.
Розділ
Джерела програми; порядок тем уточнюйте у школі та викладача.
Physics
Panhellenic Exams: структурований маршрут з математики та фізики з розділами, практикою і наступними кроками.
Структура відповідає підручнику й допомагає організувати вивчення теми.
Теми, де найчастіше виникають помилки або потрібна додаткова практика.
З чого почати: підручник, daily material, PDFs, videos і worked examples.
Цільова практика перед full tests, щоб coverage було зрозумілим.
Як вимірювати прогрес у главі і коли додавати її до загального mock.
Що робити після глави і як вона пов'язана з наступним розділом.
Примітка: офіційну екзаменаційну програму кожного року завжди уточнюйте у школі, викладача та за поточними офіційними джерелами.
