test","extracted_subject":"PHYSICS","extracted_chapter":"THERMAL PROPERTIES OF MATTER","extracted_topic":"MEASUREMENT OF TEMPERATURE","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_344.png?top_left_x=0&top_left_y=1461&width=532&height=286&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23c6c70136192204baea3","slug":"if-two-rods-of-length-l-and-2l-having-coefficients","content":"If two rods of length L and 2L having coefficients of linear expansion a and 2a respectively are connected so that total length becomes 3L, the average coefficient of linear expansion of the composition rod equals –","options":[{"_id":"68a3eb317f15af4716c70057","text":"\$\\frac{3}{2}\$a","sequence":0,"isCorrect":false},{"_id":"68a3eb317f15af4716c70058","text":"\$\\frac{5}{2}\$a","sequence":1,"isCorrect":false},{"_id":"68a3eb317f15af4716c70059","text":"\$\\frac{5}{3}\$a","sequence":2,"isCorrect":true},{"_id":"68a3eb317f15af4716c7005a","text":"None of these","sequence":3,"isCorrect":false}],"correct_answer":"$$\\frac{5}{3}$a","explanation":"![](https://cdn.pureessence.tech/canvas_311.png?top_left_x=0&top_left_y=1225&width=300&height=54)\n\nDl = Dl₁ + Dl₂\n\na_eq3LDT = aLDT + 2a × 2 LDT\n\n3a_eq = 5a Ž a_eq = \$\\frac{5}{3}\$a","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:41:00.402Z","__v":0,"vector_store_id":"b2d36dbb-4270-427f-8e33-fdd85bd787a4","updated_at":"2024-08-30T21:41:00.402Z","isStarred":false},"params":{"questionSlug":"if-two-rods-of-length-l-and-2l-having-coefficients"}}]}]]

Question: If two rods of length L and 2L having coefficients of linear expansion a and 2a respectively are con...

Solution