{"id":149254,"date":"2024-03-04T17:22:00","date_gmt":"2024-03-04T11:52:00","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=149254"},"modified":"2024-03-04T17:22:00","modified_gmt":"2024-03-04T11:52:00","slug":"a-proton-and-a-particle-are-accelerated-through-different-potentials-v1","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/quiz\/a-proton-and-a-particle-are-accelerated-through-different-potentials-v1","title":{"rendered":"A proton and a-particle are accelerated through different potentials V1&#8230;"},"content":{"rendered":"<h2>A proton and a-particle are accelerated through different potentials V1 and V2 respectively so that they have the same de Broglie wavelengths. Find V1\/V2.<\/h2>\n<h3>Ans.<\/h3>\n<div class=\"flex-1 overflow-hidden\">\n<div class=\"react-scroll-to-bottom--css-ipfve-79elbk h-full\">\n<div class=\"react-scroll-to-bottom--css-ipfve-1n7m0yu\">\n<div class=\"flex flex-col text-sm pb-9\">\n<div class=\"w-full text-token-text-primary\" data-testid=\"conversation-turn-11\">\n<div class=\"px-4 py-2 justify-center text-base md:gap-6 m-auto\">\n<div class=\"flex flex-1 text-base mx-auto gap-3 md:px-5 lg:px-1 xl:px-5 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem] group final-completion\">\n<div class=\"relative flex w-full flex-col agent-turn\">\n<div class=\"flex-col gap-1 md:gap-3\">\n<div class=\"flex flex-grow flex-col max-w-full\">\n<div class=\"min-h-[20px] text-message flex flex-col items-start gap-3 whitespace-pre-wrap break-words [.text-message+&amp;]:mt-5 overflow-x-auto\" data-message-author-role=\"assistant\" data-message-id=\"0827def4-6863-4a68-b652-dff92536b4a7\">\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\n<h3>we found that the ratio of the potentials <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">\ufffd1<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> to <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">\ufffd2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> required to accelerate a proton and an alpha particle, respectively, to the same de Broglie wavelength is:<\/h3>\n<h3><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">\ufffd1\ufffd2=14<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">V<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\">2<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">V<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\">1<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">4<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/h3>\n<h3>Therefore, the ratio of the potential required to accelerate the proton to the potential required to accelerate the alpha particle is <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">1:4<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mrel\">:<\/span><\/span><span class=\"base\"><span class=\"mord\">4<\/span><\/span><\/span><\/span><\/span>.<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>A proton and a-particle are accelerated through different potentials V1 and V2 respectively so that they have the same de Broglie wavelengths. Find V1\/V2. Ans. we found that the ratio of the potentials \ufffd1V1\u200b to \ufffd2V2\u200b required to accelerate a proton and an alpha particle, respectively, to the same de Broglie wavelength is: \ufffd1\ufffd2=14V2\u200bV1\u200b\u200b=41\u200b Therefore, [&hellip;]<\/p>\n","protected":false},"author":21830,"featured_media":114041,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12119],"tags":[],"class_list":{"0":"post-149254","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-quiz"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/149254","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21830"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=149254"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/149254\/revisions"}],"predecessor-version":[{"id":149255,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/149254\/revisions\/149255"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/114041"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=149254"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=149254"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=149254"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}