st","extracted_subject":"PHYSICS","extracted_chapter":"SURFACE TENSION ( JEE )","extracted_topic":"CAPILLARITY","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_900.png?top_left_x=0&top_left_y=875&width=532&height=241&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23ca170136192204c1620","slug":"in-a-capillary-tube-water-rises-to-a-height-of-4-c","content":"In a capillary tube, water rises to a height of 4 cm. If the cross-sectional area of the tube were one-fourth, water would have risen to a height of-","options":[{"_id":"68a3edb97f15af4716c7980d","text":"2 cm","sequence":0,"isCorrect":false},{"_id":"68a3edb97f15af4716c7980e","text":"4 cm","sequence":1,"isCorrect":false},{"_id":"68a3edb97f15af4716c7980f","text":"8 cm","sequence":2,"isCorrect":true},{"_id":"68a3edb97f15af4716c79810","text":"16 cm","sequence":3,"isCorrect":false}],"correct_answer":"8 cm","explanation":"h = \\(\\frac{2T\\cos\\theta}{rdg}\\) Ž r₁ h₁ = r₂ h₂\n\nand A = 2 p r² Ž r \\(\\alpha\\sqrt{A}\\)\n\n\\\\ \\(\\sqrt{A_{1}}\\) h₁ = \\(\\sqrt{A_{2}}\\) h₂\n\nŽ \\(\\sqrt{A}\\) × 4 = \\(\\sqrt{\\frac{A}{4}}\\) × h₂\n\nŽ h₂ = 8 cm","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:41:53.402Z","__v":0,"vector_store_id":"dee87d14-690b-4a7f-850a-983c3c3b8556","updated_at":"2024-08-30T21:41:53.402Z","isStarred":false},"params":{"questionSlug":"in-a-capillary-tube-water-rises-to-a-height-of-4-c"}}]}]]

Question: In a capillary tube, water rises to a height of 4 cm. If the cross-sectional area of the tube were o...

Solution