Quiz — 150.._1582613309_serie onde 1 4 math+4 Sc 2020.pdf

Question 1 sur 10 20:00

[{"id":25714,"question":"Quelle fonction mathématique est couramment utilisée pour modéliser une onde sinusoïdale ?","option_a":"A. f(x) = x²","option_b":"B. f(x) = sin(x)","option_c":"C. f(x) = e^x","option_d":"D. f(x) = ln(x)","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction sinus est la plus adaptée pour représenter une onde périodique et sinusoïdale.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A. f(x) = x²\", \"b\": \"B. f(x) = sin(x)\", \"c\": \"C. f(x) = e^x\", \"d","_debug_options_count":4},{"id":25715,"question":"La période d'une onde est le temps nécessaire pour que l'onde accomplisse un cycle complet.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La période est bien le temps pour un cycle complet, mais l'onde peut être de toute forme (sinusoïdale, carrée, etc.).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":25716,"question":"Quelle est la relation entre la fréquence (f) et la période (T) d'une onde ?","option_a":"A. f = T","option_b":"B. f = 1\/T","option_c":"C. f = T²","option_d":"D. f = √T","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fréquence est l'inverse de la période : f = 1\/T.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A. f = T\", \"b\": \"B. f = 1\/T\", \"c\": \"C. f = T²\", \"d\": \"D. f = √","_debug_options_count":4},{"id":25717,"question":"Une onde se propage à une vitesse de 340 m\/s avec une fréquence de 170 Hz. Quelle est sa longueur d'onde ?","option_a":"A. 0,5 m","option_b":"B. 2 m","option_c":"C. 340 m","option_d":"D. 170 m","option_e":"","option_f":"","bonne_reponse":"c","explication":"La longueur d'onde λ = vitesse \/ fréquence = 340 \/ 170 = 2 mètres.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"A. 0,5 m\", \"b\": \"B. 2 m\", \"c\": \"C. 340 m\", \"d\": \"D. 170 m\"}}","_debug_options_count":4},{"id":25718,"question":"L'équation d'une onde progressive est de la forme y(x,t) = A sin(kx - ωt). Que représente ω ?","option_a":"A. L'amplitude","option_b":"B. La pulsation","option_c":"C. Le nombre d'onde","option_d":"D. La phase initiale","option_e":"","option_f":"","bonne_reponse":"b","explication":"ω représente la pulsation, liée à la fréquence par ω = 2πf.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A. L'amplitude\", \"b\": \"B. La pulsation\", \"c\": \"C. Le nombre d'ond","_debug_options_count":4},{"id":25719,"question":"Une onde sonore est une onde transversale.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Les ondes sonores sont des ondes longitudinales, où la perturbation se fait dans la direction de propagation.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":25720,"question":"Quelle est la dérivée de la fonction f(x) = cos(2x) ?","option_a":"A. -2 sin(2x)","option_b":"B. 2 sin(2x)","option_c":"C. -sin(2x)","option_d":"D. sin(2x)","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de cos(u) est -u' sin(u). Ici, u = 2x, donc u' = 2. Ainsi, f'(x) = -2 sin(2x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A. -2 sin(2x)\", \"b\": \"B. 2 sin(2x)\", \"c\": \"C. -sin(2x)\", \"d\": \"D.","_debug_options_count":4},{"id":25721,"question":"Dans l'équation d'une onde y(x,t) = 5 sin(3x - 4t), quelle est l'amplitude de l'onde ?","option_a":"A. 5","option_b":"B. 3","option_c":"C. 4","option_d":"D. 12","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'amplitude est le coefficient devant la fonction sinus, ici 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A. 5\", \"b\": \"B. 3\", \"c\": \"C. 4\", \"d\": \"D. 12\"}}","_debug_options_count":4},{"id":25722,"question":"La superposition de deux ondes de même fréquence et en phase produit une onde d'amplitude double.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Si deux ondes sont en phase, leur superposition produit une onde d'amplitude égale à la somme des amplitudes (interférence constructive).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":25723,"question":"Quelle est la valeur de sin(π\/2) ?","option_a":"A. 0","option_b":"B. 1","option_c":"C. -1","option_d":"D. 0,5","option_e":"","option_f":"","bonne_reponse":"b","explication":"sin(π\/2) = 1, car π\/2 radians correspond à 90 degrés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A. 0\", \"b\": \"B. 1\", \"c\": \"C. -1\", \"d\": \"D. 0,5\"}}","_debug_options_count":4}]