test","extracted_subject":"PHYSICS","extracted_chapter":"MECHANICAL PROPERTIES OF FLUIDS","extracted_topic":"VISCOSITY","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_332.png?top_left_x=532&top_left_y=0&width=532&height=270&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23c6b70136192204bac4d","slug":"water-is-flowing-in-a-tube-of-non-uniform-radius-t","content":"Water is flowing in a tube of non-uniform radius. The ratio of the radii at entrance and exit ends of the tube is 3:2. The ratio of the velocities of water entering in and exiting from the tube will be –","options":[{"_id":"68a3d4377f15af4716c53dce","text":"8 : 27","sequence":0,"isCorrect":false},{"_id":"68a3d4377f15af4716c53dcf","text":"4 : 9","sequence":1,"isCorrect":true},{"_id":"68a3d4377f15af4716c53dd0","text":"1:1","sequence":2,"isCorrect":false},{"_id":"68a3d4377f15af4716c53dd1","text":"3 : 2","sequence":3,"isCorrect":false}],"correct_answer":"4 : 9","explanation":"a₁ v₁ = a₂ v₂\n\n(p \\(\\mathrm { r } _ { 1 } ^ { 2 }\\)) v₁ = (p ![](https://cdn.pureessence.tech/canvas_564.png?top_left_x=344&top_left_y=1493&width=200&height=300)) v₂\n\n\\(\\frac { \\mathrm { r } _ { 2 } ^ { 2 } } { \\mathrm { r } _ { 1 } ^ { 2 } }\\) = \\(\\frac { 4 } { 9 }\\)","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:40:59.240Z","__v":0,"vector_store_id":"83acc110-f891-437d-8b16-bcc51e6c2929","updated_at":"2024-08-30T21:40:59.240Z","isStarred":false},"params":{"questionSlug":"water-is-flowing-in-a-tube-of-non-uniform-radius-t"}}]}]]

Question: Water is flowing in a tube of non-uniform radius. The ratio of the radii at entrance and exit ends o...

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