test","extracted_subject":"PHYSICS","extracted_chapter":"OSCILLATIONS","extracted_topic":"VELOCITY AND ACCELERATION IN SIMPLE HARMONIC MOTION","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_431.png?top_left_x=532&top_left_y=731&width=532&height=322&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23c7470136192204bbf28","slug":"a-particle-of-mass-10-g-executes-shm-of-period-of-","content":"A particle of mass 10 g executes SHM of period of 3s and amplitude 5 cm. The acceleration when displacement is 2 cm is –","options":[{"_id":"68a406027f15af4716c8a9f0","text":"\$\\frac{8\\pi^{2}}{9}\$ cm s^–2","sequence":0,"isCorrect":true},{"_id":"68a406027f15af4716c8a9f1","text":"\$\\frac{9\\pi^{2}}{8}\$ cm s^–2","sequence":1,"isCorrect":false},{"_id":"68a406027f15af4716c8a9f2","text":"π² cm s^–2","sequence":2,"isCorrect":false},{"_id":"68a406027f15af4716c8a9f3","text":"\$\\sqrt{2}\$π² cm s^–2","sequence":3,"isCorrect":false}],"correct_answer":"$$\\frac{8\\pi^{2}}{9}$ cm s^–2","explanation":"\\| Acceleration \\| = ω² × displacement\n\n= \$\\frac{4\\pi^{2}}{T^{2}}\$ × displacement = \$\\frac{4\\pi^{2}}{9}\$ × 2 =\$\\frac{8\\pi^{2}}{9}\$ cm s^–2","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:41:08.633Z","__v":0,"vector_store_id":"4575643b-f907-4aa1-a1bd-a4dfd0f7ee35","updated_at":"2024-08-30T21:41:08.633Z","isStarred":false},"params":{"questionSlug":"a-particle-of-mass-10-g-executes-shm-of-period-of-"}}]}]]

Question: A particle of mass 10 g executes SHM of period of 3s and amplitude 5 cm. The acceleration when displ...

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