test","extracted_subject":"CHEMISTRY","extracted_chapter":"STRUCTURE OF ATOM L","extracted_topic":"DEVELOPMENTS LEADING TO THE BOHR'S MODEL OF ATOM","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_1022.png?top_left_x=0&top_left_y=772&width=532&height=280&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23caa70136192204c2928","slug":"the-work-function-of-a-metal-is-40-ev-if-the-metal","content":"The work function of a metal is 4.0 eV. If the metal is irradiated with radiation of wavelength 200 nm, then the maximum kinetic energy of the photoelectrons would be about","options":[{"_id":"68a938957f15af4716d3efee","text":"6.4 × 10^–19 J","sequence":0,"isCorrect":false},{"_id":"68a938957f15af4716d3efef","text":"3.5 × 10^–19 J","sequence":1,"isCorrect":true},{"_id":"68a938957f15af4716d3eff0","text":"1.0 × 10^–18 J","sequence":2,"isCorrect":false},{"_id":"68a938957f15af4716d3eff1","text":"2.0 × 10^–19 J","sequence":3,"isCorrect":false}],"correct_answer":"3.5 × 10^–19 J","explanation":"w₀ = 4eV = 6.4 × 10^–19 J,\n\nl = 200 nm = 2 × 10^–7 m\n\nKE = hc \\(\\left( \\frac{1}{\\lambda} - \\frac{1}{\\lambda_{0}} \\right)\\)\n\n= \\(\\frac{hc}{\\lambda}\\) – w₀","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:42:02.733Z","__v":0,"vector_store_id":"c167e5a1-6580-467e-9289-09fcd7ee58e8","updated_at":"2024-08-30T21:42:02.733Z","isStarred":false},"params":{"questionSlug":"the-work-function-of-a-metal-is-40-ev-if-the-metal"}}]}]]

Question: The work function of a metal is 4.0 eV. If the metal is irradiated with radiation of wavelength 200 ...

Solution