test","extracted_subject":"CHEMISTRY","extracted_chapter":"STRUCTURE OF ATOM L","extracted_topic":"TOWARDS QUANTUM MECHANICAL MODEL OF THE ATOM ","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_1033.png?top_left_x=532&top_left_y=1506&width=532&height=254&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23cab70136192204c2b8d","slug":"an-electron-has-velocity-x-mssup1sup-for-a-proton-","content":"An electron has velocity x ms^–1. For a proton to have the same de-Broglie wavelength, the velocity will be approximately –","options":[{"_id":"68a39d0b7f15af4716bbb6d7","text":"\$\\frac{1840}{x}\$","sequence":0,"isCorrect":false},{"_id":"68a39d0b7f15af4716bbb6d8","text":"\$\\frac{x}{1840}\$","sequence":1,"isCorrect":true},{"_id":"68a39d0b7f15af4716bbb6d9","text":"1840x","sequence":2,"isCorrect":false},{"_id":"68a39d0b7f15af4716bbb6da","text":"x","sequence":3,"isCorrect":false}],"correct_answer":"$$\\frac{x}{1840}$","explanation":"l_e = \$\\frac{h}{mv}\$= \$\\frac{h}{m_{e} \\times x}\$. . . (1)\n\nl_p = \$\\frac{h}{mv}\$= \$\\frac{h}{m_{p} \\times v}\$\n\n= \$\\frac{h}{1840m_{e} \\times v}\$ . . . (2)\n\nl_e = l_p (given)\n\nŽ \$\\frac{h}{m_{e} \\times x}\$= \$\\frac{h}{1840m_{e} \\times v}\$\n\nŽ v = \$\\frac{x}{1840}\$","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:42:03.952Z","__v":0,"vector_store_id":"a86f05ae-ca2e-430b-b373-0e07c5feaa2d","updated_at":"2024-08-30T21:42:03.952Z","isStarred":false},"params":{"questionSlug":"an-electron-has-velocity-x-mssup1sup-for-a-proton-"}}]}]]

Question: An electron has velocity x ms<sup>–1</sup>. For a proton to have the same de-Broglie wavelength, the...

Solution