{"id":829,"date":"2022-03-24T13:40:26","date_gmt":"2022-03-24T07:40:26","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=829"},"modified":"2022-03-24T22:06:09","modified_gmt":"2022-03-24T16:06:09","slug":"de-broglie-equation","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/de-broglie-equation\/","title":{"rendered":"\u09a1\u09bf \u09ac\u09cd\u09b0\u0997\u09b2\u09bf \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 (De Broglie Equation)"},"content":{"rendered":"\r\n

\u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09c7\u09b0 \u0995\u09a3\u09be \u0993 \u09a4\u09b0\u0999\u09cd\u0997 \u09a7\u09b0\u09cd\u09ae:<\/strong><\/h2>\r\n\r\n\r\n\r\n

\u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 \u09a8\u09c0\u09b2\u09b8 \u09ac\u09cb\u09b0 \u098f\u09ac\u0982 \u09b8\u09ae\u09be\u09b0\u09ab\u09bf\u09b2\u09cd\u09a1 \u0989\u09ad\u09df\u0987 \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u0995\u09c7 \u098f\u0995\u099f\u09bf \u098b\u09a3\u09be\u09a4\u09cd\u09ac\u0995 \u099a\u09be\u09b0\u09cd\u099c\u09af\u09c1\u0995\u09cd\u09a4 \u0995\u09a3\u09be\u09b0\u09c2\u09aa\u09c7 \u0997\u09a3\u09cd\u09af \u0995\u09b0\u09c7\u09a8<\/span>\u0964 <\/span>\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u098f\u0987 \u0995\u09a3\u09be \u09a7\u09b0\u09cd\u09ae\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09c7\u09b0 \u0985\u09a8\u09c7\u0995 \u09ac\u09c8\u09b6\u09bf\u09b7\u09cd\u099f\u09cd\u09af \u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be \u0995\u09b0\u09be \u09af\u09be\u09df \u09a8\u09be<\/span>\u0964 <\/span>\u09ab\u09b0\u09be\u09b8\u09bf \u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 \u09a1\u09bf-\u09ac\u09cd\u09b0\u0997\u09b2\u09bf (de-Broglie)\u00a0 \u098f \u09b8\u09bf<\/span><\/p>\r\n\r\n\r\n\r\n

\u09a6\u09cd\u09a7\u09be\u09a8\u09cd\u09a4\u09c7 \u0989\u09aa\u09a8\u09c0\u09a4 \u09b9\u09a8 \u09af\u09c7, \u098f \u099c\u09be\u09a4\u09c0\u09df \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u0995\u09a3\u09be\u09b0 \u0995\u09a3\u09be \u09a7\u09b0\u09cd\u09ae \u098f\u09ac\u0982 \u09a4\u09b0\u0999\u09cd\u0997 \u09a7\u09b0\u09cd\u09ae \u0989\u09ad\u09df\u0987 \u09ac\u09bf\u09a6\u09cd\u09af\u09ae\u09be\u09a8<\/span>\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\u09aa\u09cd\u09b2\u09be\u0999\u09cd\u0995\u09c7\u09b0 \u0995\u09cb\u09df\u09be\u09a8\u09cd\u099f\u09be\u09ae \u09a4\u09a4\u09cd\u09a4\u09cd\u09ac \u09ae\u09a4\u09c7,\u00a0 E=h\\nu<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\u0986\u0987\u09a8\u09b8\u09cd\u099f\u09be\u0987\u09a8\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0\u09ae\u09a4\u09c7, E=mc^2<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\\therefore h\\nu=mc^2<\/span><\/span> \u09ac\u09be, h\\frac{c}{\\lambda}=mc^2<\/span> <\/span>\u09ac\u09be, \\frac{h}{\\lambda}=mc<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09be, \\lambda=\\frac{h}{mc}<\/span><\/span>\u2026\u2026(1)<\/span><\/p>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09c7\u09b0 \u0995\u09a3\u09be \u09a7\u09b0\u09cd\u09ae \u098f\u09ac\u0982 \u09a4\u09b0\u0999\u09cd\u0997 \u09a7\u09b0\u09cd\u09ae \u09aa\u09b0\u09b8\u09cd\u09aa\u09b0\u09c7\u09b0 \u09ac\u09cd\u09af\u09b8\u09cd\u09a4\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995<\/span>\u0964 <\/span>\u098f\u0995\u099f\u09bf \u099a\u09b2\u09ae\u09be\u09a8 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7<\/span><\/p>\r\n\r\n\r\n\r\n

\\lambda=\\frac{h}{mv}<\/span>\u2026\u2026(2)<\/span><\/p>\r\n\r\n\r\n\r\n

(1) <\/span>\u0993 <\/span>(2<\/span>) \u09b9\u09a4\u09c7 \u09ac\u09b2\u09be \u09af\u09be\u09df \u098f\u0995\u099f\u09bf \u099a\u09b2\u09ae\u09be\u09a8 \u09ac\u09b8\u09cd\u09a4\u09c1 \u0995\u09a3\u09be\u09b0 \u09a4\u09b0\u0999\u09cd\u0997\u09a7\u09b0\u09cd\u09ae \u0993 \u0995\u09a3\u09be \u09a7\u09b0\u09cd\u09ae \u0989\u09ad\u09df\u09c7 \u09ac\u09bf\u09a6\u09cd\u09af\u09ae\u09be\u09a8<\/span>\u0964 <\/span>\u09a4\u09ac\u09c7 \u09ac\u09c7\u09b6\u09bf \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u0995\u09a3\u09be \u09a7\u09b0\u09cd\u09ae \u098f\u09ac\u0982 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09a3\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09a4\u09b0\u0999\u09cd\u0997 \u09a7\u09b0\u09cd\u09ae \u09aa\u09cd\u09b0\u09be\u09a7\u09be\u09a8\u09cd\u09af \u09aa\u09be\u09df<\/span>\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

e^{-}<\/span> \u09a8\u09bf\u0989\u0995\u09cd\u09b2\u09bf\u09df\u09be\u09b8\u09c7\u09b0 \u099a\u09be\u09b0\u09a6\u09bf\u0995\u09c7 \u09aa\u09b0\u09bf\u09ad\u09cd\u09b0\u09ae\u09a3\u0995\u09be\u09b2\u09c7 \u0995\u09a4\u099f\u09bf \u09aa\u09c2\u09b0\u09cd\u09a3 \u09a4\u09b0\u0999\u09cd\u0997 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u0995\u09b0\u09c7 \u09a4\u09be \u0995\u09c0\u09b0\u09c2\u09aa\u09c7 \u09a8\u09bf\u09b0\u09cd\u09a3\u09df \u0995\u09b0\u09be \u09af\u09be\u09df ?<\/strong><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09cb\u09b0 \u09aa\u09b0\u09ae\u09be\u09a3\u09c1 \u09ae\u09a1\u09c7\u09b2\u09c7\u09b0 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09b8\u09cd\u09ac\u09c0\u0995\u09be\u09b0\u09cd\u09af \u09ae\u09a4\u09c7,<\/span><\/p>\r\n\r\n\r\n\r\n

mvr=n\\frac{h}{2\\pi}<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09be, 2\\pi r=n\\frac{h}{mv}<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09be, 2\\pi r=n\\lambda<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\u098f \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u0995\u09cb\u09a8 \u0995\u0995\u09cd\u09b7\u09aa\u09a5\u09c7 \u09aa\u09b0\u09bf\u09ad\u09cd\u09b0\u09ae\u09a3\u09b0\u09a4 e^{-}<\/span><\/span> \u098f\u09b0 \u0995\u09df\u099f\u09bf \u09aa\u09c2\u09b0\u09cd\u09a3 \u09a4\u09b0\u0999\u09cd\u0997 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u09b9\u09ac\u09c7 \u09a4\u09be \u09a8\u09bf\u09b0\u09cd\u09a3\u09df \u0995\u09b0\u09be \u09af\u09be\u09df<\/span>\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\u09af\u09c7\u09ae\u09a8 : \u09e9\u09df \u09aa\u09cd\u09b0\u09a7\u09be\u09a8 \u09b6\u0995\u09cd\u09a4\u09bf\u09b8\u09cd\u09a4\u09b0\u09c7 \u0998\u09c2\u09b0\u09cd\u09a3\u09a8\u09b0\u09a4 e^{-}<\/span><\/span> \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u099f\u09bf \u09b9\u09ac\u09c7 2\\pi r=3\\lambda<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce, \u09e9\u09df \u0995\u0995\u09cd\u09b7\u09aa\u09a5\u09c7\u09b0 \u09aa\u09b0\u09bf\u09a7\u09bf \u0986\u09ac\u09b0\u09cd\u09a4\u09a8\u09b6\u09c0\u09b2 e^{-}<\/span><\/span> \u098f\u09b0 \u09a4\u09b0\u0999\u09cd\u0997\u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af\u09c7\u09b0 <\/span>3<\/span> \u0997\u09c1\u09a3 \u09b9\u09ac\u09c7<\/span>\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\u2234<\/span> \u09e9\u09df \u0995\u0995\u09cd\u09b7\u09aa\u09a5\u09c7 \u0986\u09ac\u09b0\u09cd\u09a4\u09a8 \u0995\u09be\u09b2\u09c7 e^{-}<\/span><\/span> \u099f\u09bf <\/span>3<\/span> \u099f\u09bf \u09aa\u09c2\u09b0\u09cd\u09a3 \u09a4\u09b0\u0999\u09cd\u0997 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u0995\u09b0\u09ac\u09c7<\/span>\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\u098f \u09a5\u09c7\u0995\u09c7 \u09b8\u09bf\u09a6\u09cd\u09a7\u09be\u09a8\u09cd\u09a4 \u09a8\u09c7\u0993\u09df\u09be \u09af\u09be\u09df \u09af\u09c7, e^{-}<\/span> \u0986\u09ac\u09b0\u09cd\u09a4\u09a8\u0995\u09be\u09b2\u09c7 \u09aa\u09cd\u09b0\u09a7\u09be\u09a8 \u0995\u09cb\u09df\u09be\u09a8\u09cd\u099f\u09be\u09ae \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09b8\u09ae\u09b8\u0982\u0996\u09cd\u09af\u0995 \u09aa\u09c2\u09b0\u09cd\u09a3 \u09a4\u09b0\u0999\u09cd\u0997 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u0995\u09b0\u09c7\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\r\n
\"de\r\n
\u099a\u09bf\u09a4\u09cd\u09b0\u0983 \u09ac\u09c3\u09a4\u09cd\u09a4\u09be\u0995\u09be\u09b0 \u0995\u0995\u09cd\u09b7\u09aa\u09a5\u09c7 \u0987\u09b2\u09c7\u0995\u09cd\u099f\u09cd\u09b0\u09a8\u09c7\u09b0 \u09a4\u09b0\u0999\u09cd\u0997\u09b0\u09c2\u09aa\u09c7 \u0986\u09ac\u09b0\u09cd\u09a4\u09a8<\/figcaption>\r\n<\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n

\u09a4\u09b0\u0999\u09cd\u0997 \u09a7\u09b0\u09cd\u09ae \u098f\u09ac\u0982 \u0995\u09a3\u09be \u09a7\u09b0\u09cd\u09ae\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af<\/strong><\/span><\/h2>\r\n\r\n\r\n\r\n
\r\n
\"de\r\n
\u099a\u09bf\u09a4\u09cd\u09b0\u0983 \u0987\u09b2\u09c7\u0995\u09cd\u099f\u09cd\u09b0\u09a8\u09c7\u09b0 \u09a4\u09b0\u0999\u09cd\u0997 \u09a7\u09b0\u09cd\u09ae \u098f\u09ac\u0982 \u0995\u09a3\u09be \u09a7\u09b0\u09cd\u09ae\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af<\/span> <\/strong><\/figcaption>\r\n<\/figure>\r\n<\/div>\r\n\r\n

 <\/p>","protected":false},"excerpt":{"rendered":"

\u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09c7\u09b0 \u0995\u09a3\u09be \u0993 \u09a4\u09b0\u0999\u09cd\u0997 \u09a7\u09b0\u09cd\u09ae: \u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 \u09a8\u09c0\u09b2\u09b8 \u09ac\u09cb\u09b0 \u098f\u09ac\u0982 \u09b8\u09ae\u09be\u09b0\u09ab\u09bf\u09b2\u09cd\u09a1 \u0989\u09ad\u09df\u0987 \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u0995\u09c7 \u098f\u0995\u099f\u09bf \u098b\u09a3\u09be\u09a4\u09cd\u09ac\u0995 \u099a\u09be\u09b0\u09cd\u099c\u09af\u09c1\u0995\u09cd\u09a4 \u0995\u09a3\u09be\u09b0\u09c2\u09aa\u09c7 \u0997\u09a3\u09cd\u09af \u0995\u09b0\u09c7\u09a8\u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u098f\u0987 \u0995\u09a3\u09be \u09a7\u09b0\u09cd\u09ae\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09c7\u09b0 \u0985\u09a8\u09c7\u0995 \u09ac\u09c8\u09b6\u09bf\u09b7\u09cd\u099f\u09cd\u09af \u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be \u0995\u09b0\u09be \u09af\u09be\u09df \u09a8\u09be\u0964 \u09ab\u09b0\u09be\u09b8\u09bf \u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 \u09a1\u09bf-\u09ac\u09cd\u09b0\u0997\u09b2\u09bf (de-Broglie)\u00a0 \u098f \u09b8\u09bf \u09a6\u09cd\u09a7\u09be\u09a8\u09cd\u09a4\u09c7 \u0989\u09aa\u09a8\u09c0\u09a4 \u09b9\u09a8 \u09af\u09c7,<\/p>\n

Read More<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4226,3024,3031,50],"tags":[689,729,731,730],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/829"}],"collection":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=829"}],"version-history":[{"count":9,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/829\/revisions"}],"predecessor-version":[{"id":11996,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/829\/revisions\/11996"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=829"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=829"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=829"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}