BelPhO 2006, Заключителен етап — Задача 10-1.2. 10 класс — Задача 1.2

УТВЕРЖДЕНО. Заместитель председателя оргкомитета заключительного этапа Республиканской олимпиады. К.С. Фарино. «___» марта 2006 г.

Республиканская физическая олимпиада 2006 год. г. Гродно. Теоретический тур. 9 класс / 10 класс / 11 класс.

Оргкомитет и Жюри заключительного этапа Республиканской олимпиады школьников 2006 года

• приветствуют вас в городе Гродно;
• поздравляют с успешным выступлением на предыдущих этапах олимпиады;
• желают успехов на заключительном этапе.

1. Полный комплект состоит из трех не связанных между собой заданий.
2. При оформлении работы каждую задачу начинайте с новой страницы. Первая половина тетради предназначена для чистовика, вторая - черновика. При недостатке бумаги обращайтесь к оргкомитету, обеспечим!
3. Подписывать тетради и отдельные страницы запрещается.
4. В ходе работы можете использовать ручки, карандаши, чертежные принадлежности, калькулятор.
5. Со всеми вопросами, связанными с условиями задач (но не с их решениями), обращайтесь к представителям Жюри.

Fifteen whole tasks in distinct grades9/10/11; all native requests, complete available archive keys, extensions and original graphs preserved. Covers Q1/Q5/Q9 approval, instructions, emblem and repeated Alice/birds illustration retained in original PDFs. Authenticated event folder lists exactly this matching pair; no separate theory schemes, grading, response sheets or clarifications. Footnote6 marker K21 has no body in this complete source. Archive event authority; independently verified organizer-hosted provenance not established.

p1 K3 numerical lmin denominator prints1−0.2 although eta=0.8 and the preceding analytical expression uses1−eta; printed8.5cm is retained. K candle equation numbering skips5. Wire uses S both for section and surface; literal source notation retained.

p2 K6 negative-side equation1* prints x(t1)=−c(t0−t1). K7/K8 text prints tau=t1=t0 despite distinct signal times in the general model. K11 tau_min=−c²/(2a)+c/a=−c/(2a) has a dimension and arithmetic discrepancy; second factored image expression2.9 is also dimensionally inconsistent. Figure1.9/1.11/1.12 references and all superluminal multiple-image branches are literal native content.

p3 question hot inlet pressure p2 is labelled pB although B is the shared outlet junction and later source equations use hot inlet C. All rounding and backflow conditions retained.

p4 printed pulley key figure has an intrinsic caption/layout overlap at its lower border. Native circuit self-similarity transforms, alternate chain model and all root choices retained without drawing repair.

p5 K20 says push-off lasts more than an oscillation period by a factor10 although source t1≈0.1s and period1s; x20 instead of prior x1 is literal. Footnote marker6 at K21 has no footnote6 text anywhere in the complete packet. K24 h→−h instruction coexists with unchanged1+(1−h/L)² denominator; displayed numerical recurrence differs from Q h/L=0.10. Key gives final angular speed rather than a separate explicit Deltaomega result; no additional result invented.

p6 Q atomic chlorine mass35 differs from K35.5. K26 chloride/positive-charge wording conflicts with the alternating charge model. K27 repeated equation tags13/14/15 retained; ion-count label uses a formula-unit mass58.5. Supplement self-energy q²/(8piepsilon0r) corresponds to a charged shell although source calls uniformly charged sphere. Native model and dissolution estimate retained.

p7 Q magnetic constant prints mu0=1.26 H/m without10^-6. K30 density-ratio numerical line drops the different10^-8/10^-7 factors yet reports2cm. K29 repeats equation4; K32 references figure6 while displayed coordinates figure is4; K34 polarization text saysfigure2 besidefigure1, and K35 cites expressions2/6. All literal source cross-references and complete Lorentz-Lorenz supplement retained.

p8 K39 and K41 print omega0≈3pi h/v0, opposite dimensional quotient to phi=omega h/v0; K41 therefore prints omega0 proportional sqrt(m). K39 tau0≈2pi n lacks a frequency divisor. K40 cosine addition expression41 has a minus where the subsequent exact-phase form has plus. All stated approximations, exact-extremum derivation and four original3D graph views retained literally.

p9 K45 equation8 prints N0=N−N0 rather than N−N1; intermediate outgoing-intensity expression lacks Deltax that reappears in transmittance10. K46/47 equations13/17 retain A Deltat after other time factors are cancelled, whereas18 onward uses A. All threshold/output expressions and diagrams are native and no source solution silently corrected.

K39 equation35 actually prints DeltaEmax=eU1(2/3)pi, with pi outside the fraction; this differs from the later alpha0.217. K40 exact-phase expansion prints cos(omega Deltatau0). K22 phase estimate tg(phi)≈0.06 is preserved. These are literal printed source expressions, not silent repairs.

Данное задание состоит из трех не связанных между собой задач.

Задание 10. 1. «Разминка»

Данное задание состоит из трех не связанных между собой задач.