{"id":4986,"date":"2022-01-18T07:35:22","date_gmt":"2022-01-18T07:35:22","guid":{"rendered":"https:\/\/10minuteschool.com\/content\/?p=4986"},"modified":"2023-07-03T12:57:05","modified_gmt":"2023-07-03T06:57:05","slug":"4986-2","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/4986-2\/","title":{"rendered":"\u0987\u09af\u09bc\u0982-\u098f\u09b0 \u09a6\u09cd\u09ac\u09bf-\u099a\u09bf\u09a1\u09bc \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be (Young’s double slit experiment)"},"content":{"rendered":"

\u0986\u09b2\u09be\u09cb\u0995\u09c7\u09b0 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u0987\u09af\u09bc\u0982-\u098f\u09b0 \u09a6\u09cd\u09ac\u09bf-\u099a\u09bf\u09a1\u09bc \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be <\/b>(Young’s double slit experiment on interference of light)<\/b><\/h2>\n

1807 \u0996\u09cd\u09b0\u09bf\u09b8\u09cd\u099f\u09be\u09ac\u09cd\u09a6\u09c7 \u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 \u0987\u09af\u09bc\u0982 \u0986\u09b2\u09cb\u0995\u09c7\u09b0 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09aa\u09cd\u09b0\u09a6\u09b0\u09cd\u09b6\u09a8\u09c7\u09b0 \u09a8\u09bf\u09ae\u09bf\u09a4\u09cd\u09a4\u09c7 \u098f\u0995\u099f\u09bf \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09a8 \u0995\u09b0\u09c7\u09a8\u0964 \u09a4\u09be\u0981\u09b0 <\/span>\u09a8\u09be\u09ae\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 \u098f\u0987 \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u0995\u09c7 \u0987\u09af\u09bc\u0982-\u098f\u09b0 \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be (Young’s double slit experiment )\u09ac\u09b2\u09be \u09b9\u09af\u09bc\u0964 \u098f\u0987 \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u09af\u09bc \u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 \u0987\u09af\u09bc\u0982 \u09b8\u09be\u09a6\u09be \u0986\u09b2\u09cb\u09b0 \u0989\u09ce\u09b8 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09c7\u09a8\u0964<\/span><\/p>\n

\u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be : <\/b>\u09ae\u09a8\u09c7 \u0995\u09b0\u09bf, s \u098f\u0995\u099f\u09bf \u09b8\u09b0\u09c1\u09b0\u09c7\u0996\u09be \u099b\u09bf\u09a6\u09cd\u09b0\u09aa\u09a5\u0964 L \u098f\u0995\u099f\u09bf \u098f\u0995\u09ac\u09b0\u09cd\u09a3\u09c0 \u0986\u09b2\u09cb\u0995 \u0989\u09ce\u09b8\u0964 S-\u098f\u09b0 \u09ae\u09a7\u09cd\u09af \u09a6\u09bf\u09af\u09bc\u09c7 \u098f\u0995\u09ac\u09b0\u09cd\u09a3\u09c0<\/span>
\n<\/span>\u0986\u09b2\u09cb\u0995 \u0997\u09ae\u09a8 \u0995\u09b0\u099b\u09c7\u0964<\/span><\/p>\n

S_1<\/span><\/span>, \u098f\u09ac\u0982 S_2<\/span><\/span>, \u0996\u09c1\u09ac\u0987 \u0995\u09be\u099b\u09be\u0995\u09be\u099b\u09bf \u09a6\u09c1\u099f\u09bf \u09b0\u09c7\u0996\u09be \u099b\u09bf\u09a6\u09cd\u09b0 \u09ac\u09be \u09b0\u09c7\u0996\u09be \u099a\u09bf\u09a1\u09bc [\u099a\u09bf\u09a4\u09cd\u09b0 \u09ed.\u09ee]\u0964 \u098f\u09a6\u09c7\u09b0\u0995\u09c7 S-\u098f\u09b0 \u09b8\u09be\u09ae\u09a8\u09c7 \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2\u09ad\u09be\u09ac\u09c7 \u09b8\u09cd\u09a5\u09be\u09aa\u09a8 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964 \u0986\u09b2\u09cb\u0995 S \u09b9\u09a4\u09c7 \u09ac\u09c7\u09b0 \u09b9\u09af\u09bc\u09c7 S_1<\/span><\/span> \u0993 S_2<\/span><\/span>, \u098f\u09b0 \u0993\u09aa\u09b0 \u09aa\u09a4\u09bf\u09a4 \u09b9\u09ac\u09c7 \u098f\u09ac\u0982 \u098f\u09b0 \u09aa\u09b0 \u09b8\u09c7\u0997\u09c1\u09b2\u09cb \u098f\u09b0\u0995\u09ae \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u0986\u0995\u09be\u09b0\u09c7 \u09a8\u09bf\u09b0\u09cd\u0997\u09a4 \u09b9\u09ac\u09c7\u0964 \u09a8\u09bf\u09b0\u09cd\u0997\u09a4 \u09a4\u09b0\u0999\u09cd\u0997 \u09a6\u09c1\u09ad\u09be\u09ac\u09c7 \u09ac\u09bf\u09ad\u0995\u09cd\u09a4 \u09b9\u09af\u09bc\u09c7 \u09ae\u09be\u09a7\u09cd\u09af\u09ae\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af \u09a6\u09bf\u09af\u09bc\u09c7 \u0997\u09ae\u09a8\u0995\u09be\u09b2\u09c7 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u0997\u09a0\u09a8 \u0995\u09b0\u09c7\u0964<\/span><\/p>\n

Picture<\/strong><\/h3>\n

\u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 <\/span>\u0987\u09af\u09bc\u0982 \u098f\u09b0\u0995\u09ae \u09aa\u09b0\u09cd\u09a6\u09be\u09af\u09bc \u09b0\u0999\u09bf\u09a8 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09aa\u099f\u09cd\u099f\u09bf \u09a6\u09c7\u0996\u09a4\u09c7 \u09aa\u09be\u09a8\u0964 \u09a4\u09b0\u0999\u09cd\u0997 \u09a6\u09c1\u099f\u09bf \u09af\u09a6\u09bf \u09aa\u09b0\u09cd\u09a6\u09be\u09b0 \u0995\u09cb\u09a8\u09cb \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u098f\u0995\u0987 \u09a6\u09b6\u09be\u09af\u09bc \u09ae\u09bf\u09b2\u09bf\u09a4 \u09b9\u09af\u09bc \u09a4\u09ac\u09c7 \u09b8\u09c7 \u09b8\u09cd\u09a5\u09be\u09a8 \u0989\u099c\u09cd\u099c\u09cd\u09ac\u09b2 \u09a6\u09c7\u0996\u09be\u09ac\u09c7\u0964 \u098f\u09b0 \u09a8\u09be\u09ae <\/span>\u0997\u09a0\u09a8\u09ae\u09c2\u09b2\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 (Constructive interference)<\/b>\u0964 \u0986\u09b0 \u09a4\u09b0\u0999\u09cd\u0997 \u09a6\u09c1\u099f\u09bf \u09af\u09a6\u09bf \u09aa\u09b0\u09cd\u09a6\u09be\u09b0 \u0995\u09cb\u09a8\u09cb \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4 \u09a6\u09b6\u09be\u09af\u09bc \u09ae\u09bf\u09b2\u09bf\u09a4 \u09b9\u09af\u09bc, \u09a4\u09ac\u09c7 \u09b8\u09c7 \u09b8\u09cd\u09a5\u09be\u09a8 \u0985\u09a8\u09cd\u09a7\u0995\u09be\u09b0 \u09a6\u09c7\u0996\u09be\u09ac\u09c7\u0964 \u098f\u09b0 \u09a8\u09be\u09ae <\/span>\u09a7\u09cd\u09ac\u0982\u09b8\u09be\u09a4\u09cd\u09ae\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 ( Destructive interference)\u0964 <\/b>\u099a\u09bf\u09a4\u09cd\u09b0\u09c7 AB \u09aa\u09b0\u09cd\u09a6\u09be\u09b0 \u09a1\u09cd\u09af\u09be\u09b8 \u09a1\u09cd\u09af\u09be\u09b8 \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u0989\u099c\u09cd\u099c\u09cd\u09ac\u09b2 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u098f\u09ac\u0982 \u09a8\u09bf\u09b0\u09ac\u099a\u09cd\u099b\u09bf\u09a8\u09cd\u09a8 \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u0985\u09a8\u09cd\u09a7\u0995\u09be\u09b0 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

\u0987\u09af\u09bc\u0982 \u0986\u09b0\u09cb \u0989\u09b2\u09cd\u09b2\u09c7\u0996 \u0995\u09b0\u09c7\u09a8 \u09af\u09c7 \u09af\u09a6\u09bf S \u0989\u09ce\u09b8 \u09b8\u09b0\u09bf\u09af\u09bc\u09c7 \u09a8\u09c7\u09af\u09bc\u09be \u09b9\u09af\u09bc \u0995\u09bf\u0982\u09ac\u09be S_1<\/span> \u0993 S_2<\/span><\/span>,-\u098f\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u09ac\u09be\u09a1\u09bc\u09bf\u09af\u09bc\u09c7 \u09a6\u09c7\u09af\u09bc\u09be \u09b9\u09af\u09bc, \u09a4\u09ac\u09c7 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09a1\u09cb\u09b0\u09be \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09b0\u0999\u09bf\u09a8 \u09aa\u099f\u09cd\u099f\u09bf \u09a6\u09c7\u0996\u09be \u09af\u09be\u09ac\u09c7 \u09a8\u09be\u0964 \u09b8\u09be\u09a6\u09be \u0986\u09b2\u09cb\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09c7 \u098f\u0995\u09ac\u09b0\u09cd\u09a3\u09c0 (monochromatic) \u0986\u09b2\u09cb \u09a8\u09bf\u09b2\u09c7 \u09aa\u09b0\u09cd\u09af\u09be\u09af\u09bc\u0995\u09cd\u09b0\u09ae\u09bf\u0995 \u0989\u099c\u09cd\u099c\u09cd\u09ac\u09b2 \u0993 \u0985\u09a8\u09cd\u09a7\u0995\u09be\u09b0 \u09a1\u09cb\u09b0\u09be \u09a6\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc\u0964<\/span><\/p>\n

\u09a6\u09b6\u09be \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af \u0993 \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 (Relation between phase difference and path difference)<\/b><\/p>\n

\u0995. \u0997\u09be\u09a3\u09bf\u09a4\u09bf\u0995 \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf (Mathematical method) :<\/b><\/p>\n

\u09ae\u09a8\u09c7 \u0995\u09b0\u09bf \\lambda<\/span> <\/span>\u09a4\u09b0\u0999\u09cd\u0997\u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af\u09c7\u09b0 \u098f\u0995\u09b0\u0999\u09be \u0986\u09b2\u09cb\u09b0 \u09a6\u09c1\u099f\u09bf \u0989\u09ce\u09b8 S_1<\/span> \u0993 S_2<\/span><\/span>, [ \u099a\u09bf\u09a4\u09cd\u09b0 \u09ed.\u09ef] \u09b9\u09a4\u09c7 \u098f\u0995\u0987 \u09b8\u0999\u09cd\u0997\u09c7 \u09a8\u09bf\u09b0\u09cd\u0997\u09a4 \u0986\u09b2\u09cb\u0995 \u09a4\u09b0\u0999\u09cd\u0997 \u09aa\u09cd\u09b0\u09be\u09af\u09bc \u098f\u0995\u0987 \u09a6\u09bf\u0995\u09c7 c \u09ac\u09c7\u0997\u09c7 \u09b8\u099e\u09cd\u099a\u09be\u09b2\u09bf\u09a4 \u09b9\u09af\u09bc\u09c7 P \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u0989\u09aa\u09b0\u09bf\u09aa\u09be\u09a4\u09bf\u09a4 \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\u09af\u09c7 \u0995\u09cb\u09a8\u09cb t \u09b8\u09ae\u09af\u09bc\u09c7 P \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u0986\u09b2\u09cb\u0995 \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09b8\u09b0\u09a3 S_1<\/span> <\/span>\u09a5\u09c7\u0995\u09c7 \u0986\u0997\u09a4 \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \\gamma_1<\/span><\/span>\u00a0<\/span>\u098f\u09ac\u0982 S_2<\/span><\/span> \u09a5\u09c7\u0995\u09c7 \u0986\u0997\u09a4 \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \\gamma_1<\/span> <\/span>\u09b9\u09b2\u09c7<\/span><\/p>\n

\\gamma_1 = \\operatorname{asin} \\frac{2 \\pi}{\\lambda}\\left(c t-x_{1}\\right) <\/span><\/span>\u00a0<\/span>\u098f\u09ac\u0982<\/span> \\gamma_2 = \\operatorname{asin} \\frac{2 \\pi}{\\lambda}\\left(c t-x_{2}\\right) <\/span><\/span><\/p>\n

P \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 S_1<\/span> \u0993 S_2<\/span><\/span> \u09a5\u09c7\u0995\u09c7 \u0986\u0997\u09a4 \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09a6\u09b6\u09be \u0995\u09cb\u09a3 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae \\frac{2 \\pi}{\\lambda}\\left(c t-x_{1}\\right) <\/span><\/span> \u098f\u09ac\u0982 \\frac{2 \\pi}{\\lambda}\\left(c t-x_{2}\\right) <\/span><\/span><\/p>\n

\\therefore P <\/span><\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 S_1<\/span> \u0993 S_2<\/span><\/span>, \u09a5\u09c7\u0995\u09c7 \u0986\u0997\u09a4 \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09a6\u09b6\u09be \u0995\u09cb\u09a3 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7\u00a0<\/span><\/p>\n

S = \\frac{2 \\pi}{\\lambda}\\left(c t-x_{1}\\right) <\/span><\/span> \u098f\u09ac\u0982 \\frac{2 \\pi}{\\lambda}\\left(c t-x_{2}\\right) <\/span><\/span><\/p>\n

= \\frac{2 \\pi}{\\lambda}\\left(x_{2} - x_1\\right)<\/span>\u00a0<\/span><\/p>\n

= \\frac{2 \\pi}{\\lambda}\\left(S_{2}P - S_{1}P\\right)<\/span> <\/span><\/p>\n

\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 x_2 - x_1=S_{2}P-S_{1}P <\/span><\/span>\u00a0<\/span>\u09b9\u099a\u09cd\u099b\u09c7<\/span>\u00a0<\/span>\u09a4\u09b0\u0999\u09cd\u0997<\/span>\u00a0<\/span>\u09a6\u09c1\u099f\u09bf\u09b0<\/span>\u00a0<\/span>\u09aa\u09a5<\/span>\u00a0<\/span>\u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af\u0964<\/span><\/p>\n

\\therefore <\/span> <\/span>\u09a6\u09b6\u09be \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af\u00a0 <\/span>= 2\\pi \\times<\/span><\/span>\u00a0<\/span>\u09aa\u09a5<\/span>\u00a0<\/span>\u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af<\/span><\/p>\n

 <\/p>\n

\u0996. \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0\u09c7\u09b0 \u09ae\u09be\u09a7\u09cd\u09af\u09ae\u09c7 (By graphical method) :<\/b><\/p>\n

\u0986\u09ae\u09b0\u09be \u099c\u09be\u09a8\u09bf, \u0995\u09cb\u09a8\u09cb \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09a6\u09c1\u099f\u09bf \u09a4\u09b0\u0999\u09cd\u0997\u09b6\u09c0\u09b0\u09cd\u09b7 \u09ac\u09be \u09a4\u09b0\u0999\u09cd\u0997 \u09aa\u09be\u09a6-\u098f\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u09b9\u099a\u09cd\u099b\u09c7 \u09a4\u09b0\u0999\u09cd\u0997\u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af, \\lambda <\/span>\u00a0<\/span> \u098f\u09ac\u0982 \u0993\u0987 \u09a6\u09c1\u099f\u09bf \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09a6\u09b6\u09be \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af = 2\\pi <\/span><\/span>\u00a0[ \u099a\u09bf\u09a4\u09cd\u09b0 \u09ed.\u09ef]<\/span><\/p>\n

Picture<\/strong><\/h3>\n

\u0985\u09a4\u098f\u09ac, \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af <\/span>-\u098f\u09b0 \u099c\u09a8\u09cd\u09af \u09a6\u09b6\u09be \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af = 2\\pi <\/span><\/span>
\n<\/span>\u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af l<\/span>-\u098f\u09b0 \u099c\u09a8\u09cd\u09af \u09a6\u09b6\u09be \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af = \\frac{2\\pi}{\\lambda} <\/span><\/span><\/p>\n

\\therefore <\/span><\/span>\u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af <\/span>x\u00a0<\/span>-\u098f\u09b0 \u099c\u09a8\u09cd\u09af \u09a6\u09b6\u09be \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af = \\frac{2\\pi}{\\lambda}x = \\frac{2\\pi}{\\lambda} \\times <\/span><\/span>\u00a0\u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af\u00a0<\/span><\/p>\n

\u0985\u09a4\u098f\u09ac, S = \\frac{2\\pi}{\\lambda}x <\/span><\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/span><\/p>\n

\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 (7.10) \u09a6\u09b6\u09be \u0993 \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 \u09a8\u09bf\u09b0\u09cd\u09a6\u09c7\u09b6 \u0995\u09b0\u09c7\u0964<\/span><\/p>\n

\u0987\u09af\u09bc\u0982-\u098f\u09b0 \u09a6\u09cd\u09ac\u09bf-\u099a\u09bf\u09a1\u09bc \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u09b0 \u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be<\/b>
\n<\/b>(Explanation of Young’s double slit experiment)<\/b><\/p>\n

\u09b9\u09be\u0987\u0997\u09c7\u09a8\u09b8\u09c7\u09b0 \u09a8\u09c0\u09a4\u09bf \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09c7 \u0987\u09af\u09bc\u0982 \u098f\u09b0 \u09a6\u09cd\u09ac\u09bf-\u099a\u09bf\u09a1\u09bc \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u09af\u09bc \u09b8\u09c3\u09b7\u09cd\u099f \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 (interference)<\/span> \u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be \u0995\u09b0\u09be \u09af\u09be\u09af\u09bc\u0964 \u099a\u09bf\u09a1\u09bc S \u0997\u09cb\u09b2\u09c0\u09af\u09bc <\/span>\u09a4\u09b0\u0999\u09cd\u0997\u09ae\u09c1\u0996 \u09aa\u09cd\u09b0\u09c7\u09b0\u09a3 \u0995\u09b0\u09c7\u0964 S_1<\/span><\/span>\u00a0\u0993 <\/span>S_2<\/span><\/span> \u09a5\u09c7\u0995\u09c7 S \u098f\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u09b8\u09ae\u09be\u09a8 \u09b9\u0993\u09af\u09bc\u09be\u09af\u09bc \u098f\u0995\u0987 \u09b8\u09ae\u09af\u09bc\u09c7 \u098f\u0995\u0987 \u09a4\u09b0\u0999\u09cd\u0997\u09ae\u09c1\u0996 S_1<\/span>\u00a0\u0993 S_2<\/span><\/span>-\u09a4\u09c7 \u098f\u09b8\u09c7 \u09aa\u09cc\u0981\u099b\u09be\u09af\u09bc\u0964 \u098f\u0987 \u09a4\u09b0\u0999\u09cd\u0997\u09ae\u09c1\u0996\u09c7\u09b0 \u0993\u09aa\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 S_1<\/span>\u00a0\u0993 S_2<\/span><\/span>, \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u098f\u0996\u09a8 \u0997\u09cc\u09a3 \u09a4\u09b0\u0999\u09cd\u0997 \u09a8\u09bf\u0983\u09b8\u09c3\u09a4 \u0995\u09b0\u09c7 \u09af\u09c7\u0997\u09c1\u09b2\u09cb \u09aa\u09b0\u09b8\u09cd\u09aa\u09b0\u09c7\u09b0 \u09b8\u09be\u09a5\u09c7 \u098f\u0995\u0987 \u09a6\u09b6\u09be\u09af\u09bc \u09a5\u09be\u0995\u09c7\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 S_1<\/span>\u00a0\u0993 S_2<\/span><\/span>, \u099a\u09bf\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u09a8\u09bf\u0983\u09b8\u09c3\u09a4 \u0997\u09cc\u09a3 \u09a4\u09b0\u0999\u09cd\u0997\u09b8\u09ae\u09c2\u09b9 \u09b8\u09c1\u09b8\u0999\u09cd\u0997\u09a4\u0964 \u0995\u09c7\u09a8\u09a8\u09be \u09a4\u09be\u09a6\u09c7\u09b0 \u0995\u09ae\u09cd\u09aa\u09be\u0999\u09cd\u0995 \u0993 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u098f\u0995\u0987\u0964 \u098f\u0996\u09a8 S_1<\/span>\u00a0\u0993 S_2<\/span><\/span> \u09a5\u09c7\u0995\u09c7 \u09a8\u09bf\u0983\u09b8\u09c3\u09a4 \u09a4\u09b0\u0999\u09cd\u0997 \u09a6\u09c1\u099f\u09bf \u0989\u09aa\u09b0\u09bf\u09aa\u09be\u09a4\u09bf\u09a4 \u09b9\u09af\u09bc\u09c7 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u0995\u09b0\u09c7\u0964 \u09b8\u09ae\u09a6\u09b6\u09be\u09b8\u09ae\u09cd\u09aa\u09a8\u09cd\u09a8 \u0995\u09a3\u09be\u0997\u09c1\u09b2\u09cb \u0989\u09aa\u09b0\u09bf\u09aa\u09be\u09a4\u09bf\u09a4 \u09b9\u09af\u09bc\u09c7 \u0997\u09a0\u09a8\u09ae\u09c2\u09b2\u0995 \u098f\u09ac\u0982 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4 \u09a6\u09b6\u09be\u09b8\u09ae\u09cd\u09aa\u09a8\u09cd\u09a8 \u0995\u09a3\u09be\u0997\u09c1\u09b2\u09cb\u09b0 \u0989\u09aa\u09b0\u09bf\u09aa\u09be\u09a4\u09a8\u09c7\u09b0 \u09ab\u09b2\u09c7 \u09a7\u09cd\u09ac\u0982\u09b8\u09be\u09a4\u09cd\u09ae\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u09b9\u09af\u09bc\u0964 (\u09ed.\u09e7\u09e6) \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 \u09b9\u09be\u0987\u09ab\u09c7\u09a8 (-) \u09b2\u09be\u0987\u09a8 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0997\u09a0\u09a8\u09ae\u09c2\u09b2\u0995 \u098f\u09ac\u0982 \u09b8\u09b2\u09bf\u09a1 \u09b2\u09be\u0987\u09a8 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09a7\u09cd\u09ac\u0982\u09b8\u09be\u09a4\u09cd\u09ae\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09ac\u09c1\u099d\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964<\/span><\/p>\n

\u09a7\u09b0\u09be \u09af\u09be\u0995, \u098f\u0995\u099f\u09bf \u09b8\u09c2\u0995\u09cd\u09b7\u09cd\u09ae \u099a\u09bf\u09a1\u09bc S, \\lambda <\/span>\u00a0<\/span> \u09a4\u09b0\u0999\u09cd\u0997\u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af\u09c7\u09b0 \u098f\u0995\u09ac\u09b0\u09cd\u09a3\u09c0 \u0986\u09b2\u09cb\u0995 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0986\u09b2\u09cb\u0995\u09bf\u09a4\u0964 S \u09b9\u09a4\u09c7 \u09a8\u09bf\u09b0\u09cd\u0997\u09a4 \u0997\u09cb\u09b2\u09be\u0995\u09c3\u09a4\u09bf\u09b0 \u0986\u09b2\u09cb\u0995 \u09a4\u09b0\u0999\u09cd\u0997 S-\u098f\u09b0 \u0995\u09be\u099b\u09be\u0995\u09be\u099b\u09bf \u098f\u09ac\u0982 \u09b8\u09ae\u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 \u09a6\u09c1\u099f\u09bf \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u099a\u09bf\u09a1\u09bc S_1<\/span>\u00a0\u0993 S_2<\/span><\/span>,-\u0995\u09c7 \u0986\u09b2\u09cb\u0995\u09bf\u09a4 \u0995\u09b0\u09c7\u0964<\/span><\/p>\n

\u09a7\u09b0\u09be \u09af\u09be\u0995 S_1<\/span><\/span>, \u099a\u09bf\u09a1\u09bc \u09b9\u09a4\u09c7 P \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 [\u099a\u09bf\u09a4\u09cd\u09b0 \u09ed.\u09e7\u09e6] \u0986\u09aa\u09a4\u09bf\u09a4 \u0986\u09b2\u09cb\u0995 \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3<\/span><\/p>\n

Picture<\/strong><\/h3>\n

\\gamma_1 = a \\sin \\frac{2 \\pi}{\\lambda} v t <\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/span><\/p>\n

\u098f\u0996\u09be\u09a8\u09c7, \\gamma_1 <\/span><\/span>\u00a0<\/span>= \u0986\u09b2\u09cb\u0995 \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09b8\u09b0\u09a3, v <\/span>\u00a0<\/span> = \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09ac\u09c7\u0997, <\/span>\\lambda <\/span> = \u09a4\u09b0\u0999\u09cd\u0997\u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u098f\u09ac\u0982 a = \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0\u0964<\/span><\/p>\n

\u098f\u0996\u09a8, <\/span>S_2<\/span><\/span>, \u099a\u09bf\u09a1\u09bc \u09b9\u09a4\u09c7 P \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u0986\u09aa\u09a4\u09bf\u09a4 \u0986\u09b2\u09cb\u0995 \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09b8\u09b0\u09a3 \\gamma_2 <\/span><\/span> \u098f\u09ac\u0982 S_1<\/span>\u00a0\u0993 S_2<\/span><\/span>, \u09b9\u09a4\u09c7 \u0986\u0997\u09a4 \u09b0\u09b6\u09cd\u09ae\u09bf\u09a6\u09cd\u09ac\u09af\u09bc\u09c7\u09b0 \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af <\/span>x<\/span> \u09b9\u09b2\u09c7, S_2<\/span><\/span>,\u09b9\u09a4\u09c7 \u0986\u0997\u09a4 \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc,<\/span><\/p>\n

\\gamma_2 = a \\sin \\frac{2 \\pi}{\\lambda} (v t + x) <\/span>\u00a0 <\/span><\/p>\n

P \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u098f\u0987 \u09a6\u09c1\u099f\u09bf \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u0989\u09aa\u09b0\u09bf\u09aa\u09be\u09a4\u09a8 \u0998\u099f\u09be\u09af\u09bc, \u09b2\u09ac\u09cd\u09a7\u09bf \u09b8\u09b0\u09a3 y \u09b9\u09ac\u09c7\u2014<\/span><\/p>\n\\gamma=\\gamma_{1}+\\gamma_{2}=a \\sin \\frac{2 \\pi}{\\lambda} v t + a \\sin \\frac{2 \\pi}{\\lambda}(v t + x) <\/span>\n=2 a \\cos \\left(\\frac{2 \\pi}{\\lambda} \\cdot \\frac{x}{2}\\right) \\sin \\frac{2 \\pi}{\\lambda}\\left(v t+\\frac{x}{2}\\right)\\left[\\therefore \\sin A+\\sin B=2 \\sin \\left(\\frac{A+B}{2}\\right) \\cos \\left(\\frac{A-B}{2}\\right)\\right] <\/span>\n

\u098f\u099f\u09bf \u09b8\u09b0\u09b2 \u099b\u09a8\u09cd\u09a6\u09bf\u09a4 \u09b8\u09cd\u09aa\u09a8\u09cd\u09a6\u09a8\u09c7\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0964 \u098f\u09b0 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0<\/span><\/p>\nA=2 a \\cos \\left(\\frac{2 \\pi}{\\lambda} \\cdot \\frac{x}{2}\\right)=2 a \\cos \\left(\\frac{\\pi x}{\\lambda}\\right) <\/span>\n

\u0986\u09ae\u09b0\u09be \u099c\u09be\u09a8\u09bf, \u0986\u09b2\u09cb\u09b0 \u09a4\u09c0\u09ac\u09cd\u09b0\u09a4\u09be \u09ac\u09be \u09aa\u09cd\u09b0\u09be\u09ac\u09b2\u09cd\u09af I = A^2 <\/span><\/span>\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982, \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u09b8\u09b0\u09cd\u09ac\u09a8\u09bf\u09ae\u09cd\u09a8 \u09ac\u09be \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u09b9\u09b2\u09c7 \u09aa\u09cd\u09b0\u09be\u09ac\u09b2\u09cd\u09af\u0993 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 <\/span>\u09b8\u09b0\u09cd\u09ac\u09a8\u09bf\u09ae\u09cd\u09a8 \u09ac\u09be \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

 <\/p>\n

\u09a6\u09cd\u09ac\u09bf-\u099a\u09bf\u09dc \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u09b0 \u09ab\u09b2\u09be\u09ab\u09b2 (Result of Young’s double slit experiment )<\/b><\/p>\n

(\u09e7) \u09a6\u09cd\u09ac\u09bf-\u099a\u09bf\u09a1\u09bc \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u09af\u09bc \u0986\u09b2\u09cb\u09b0 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u0998\u099f\u09c7\u0964<\/span>
\n<\/span>(\u09e8) \u09af\u09c7\u09b9\u09c7\u09a4\u09c1 \u0986\u09b2\u09cb\u09b0 \u09a4\u09b0\u099c\u09cb\u09b0 \u09a6\u09b0\u09c1\u09a8 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u0998\u099f\u09c7, \u0995\u09be\u099c\u09c7\u0987 \u0986\u09b2\u09cb \u098f\u0995 \u09aa\u09cd\u09b0\u0995\u09be\u09b0 \u09a4\u09b0\u0999\u09cd\u0997\u0964 \u09a6\u09cd\u09ac\u09bf-\u099a\u09bf\u09a1\u09bc \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be \u0986\u09b2\u09cb\u09b0 \u09a4\u09b0\u0999\u09cd\u0997 \u09a4\u09a4\u09cd\u09a4\u09cd\u09ac\u0995\u09c7 \u09b8\u09ae\u09b0\u09cd\u09a5\u09a8 \u0995\u09b0\u09c7\u0964<\/span><\/p>\n

 <\/p>\n

\u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0\u09c7\u09b0 \u09b6\u09b0\u09cd\u09a4\u09be\u09ac\u09b2\u09bf ( Conditions of Interference ):<\/b><\/p>\n

\u09e7. \u0997\u09a0\u09a8\u09ae\u09c2\u09b2\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09ac\u09be \u0989\u099c\u09cd\u099c\u09cd\u09ac\u09b2 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u09b6\u09b0\u09cd\u09a4 ( Conditions of Constructive Interference ) :<\/b> \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u09a4\u09a5\u09be \u0986\u09b2\u09cb\u09b0 \u09a4\u09c0\u09ac\u09cd\u09b0\u09a4\u09be \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u09b9\u09ac\u09c7, \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0997\u09a0\u09a8\u09ae\u09c2\u09b2\u0995<\/span>
\n<\/span>\u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09b9\u09ac\u09c7, \u09af\u0996\u09a8<\/span><\/p>\n\\cos \\frac{\\pi x}{\\lambda}=1 <\/span>\n

\u09ac\u09be, \\frac{\\pi x}{\\lambda}=0, \\pi, 2 \\pi \\quad \\mathrm{nx} <\/span><\/span><\/p>\n

\u09ac\u09be, x=n \\lambda=2 n\\left(\\frac{\\lambda}{2}\\right) <\/span><\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(7.13)<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982, \u0986\u09b2\u09cb\u09b0 \u09a4\u09c0\u09ac\u09cd\u09b0\u09a4\u09be \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0989\u099c\u09cd\u099c\u09cd\u09ac\u09b2 \u09b9\u0993\u09af\u09bc\u09be\u09b0 \u09b6\u09b0\u09cd\u09a4 \u09b9\u09b2\u09cb \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af \\frac{\\lambda}{2} <\/span><\/span>-\u098f\u09b0 \u09af\u09c1\u0997\u09cd\u09ae \u0997\u09c1\u09a3\u09bf\u09a4\u0995 \u09b9\u09a4\u09c7 \u09b9\u09ac\u09c7\u0964 \u09a6\u09c1\u099f\u09bf \u09a4\u09b0\u0999\u09cd\u0997 \u09af\u0996\u09a8 \u098f\u0995\u0987 \u09a6\u09b6\u09be\u09af\u09bc \u09ae\u09bf\u09b2\u09bf\u09a4 \u09b9\u09af\u09bc \u09a4\u0996\u09a8 \u09b2\u09ac\u09cd\u09a7\u09bf \u09a4\u09b0\u0999\u09cd\u0997\u09c7\u09b0 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u09a4\u09a5\u09be \u09a4\u09c0\u09ac\u09cd\u09b0\u09a4\u09be \u09b8\u09b0\u09cd\u09ac\u09be\u09a7\u09bf\u0995 \u09b9\u09af\u09bc \u09ab\u09b2\u09c7 \u0989\u099c\u09cd\u099c\u09cd\u09ac\u09b2 \u09a1\u09cb\u09b0\u09be\u09b0 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u09b9\u09af\u09bc \u09ac\u09be \u0997\u09a0\u09a8\u09ae\u09c2\u09b2\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u0998\u099f\u09c7\u0964 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0997\u09a0\u09a8\u09ae\u09c2\u09b2\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u09b9\u09ac\u09c7 \u09af\u0996\u09a8,<\/span><\/p>\n

\u09a6\u09b6\u09be \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af, \\mathrm{S}=0,2 \\pi, 4 \\pi, 6 \\pi <\/span><\/span> ………… \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf \\pi <\/span><\/span>\u098f\u09b0 \u099c\u09cb\u09a1\u09bc \u0997\u09c1\u09a3\u09bf\u09a4\u0995<\/span>
\n<\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 = 2 \\pi n\u00a0 <\/span><\/span>, \u09af\u09c7\u0996\u09be\u09a8\u09c7 <\/span>n<\/span> = 0, 1, 2, 3 ……… \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf\u0964<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \\frac{2 \\pi}{\\lambda}\\left(S_{2} P - S_{1} P \\right) = 2 \\pi n <\/span><\/span><\/p>\n

\u09ac\u09be, \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af, S_{2} P-S_{1} P=n \\lambda=2 n\\left(\\frac{\\lambda}{2}\\right) <\/span><\/span><\/p>\n

\u098f\u0996\u09be\u09a8\u09c7 <\/span>\u00a0n=0, 1, 2, 3,\u2026\u2026\u2026\u2026\u2026\u2026\u2026<\/span>\u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf<\/span>\u00a0<\/span>\u0964<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u0986\u09b2\u09cb\u09b0 \u09a4\u09c0\u09ac\u09cd\u09b0\u09a4\u09be \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u09ac\u09be \u0997\u09a0\u09a8\u09ae\u09c2\u09b2\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0\u09c7\u09b0 \u09b6\u09b0\u09cd\u09a4 \u09b9\u09b2\u09cb \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af (\\frac{\\lambda}{2} <\/span><\/span>) \u098f\u09b0 \u09af\u09c1\u0997\u09cd\u09ae \u0997\u09c1\u09a3\u09bf\u09a4\u0995 \u09b9\u09a4\u09c7 \u09b9\u09ac\u09c7\u0964 \u098f\u0987 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u0997\u09a0\u09a8\u09ae\u09c2\u09b2\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987, \u0986\u09b2\u09cb\u0995\u09c0\u09af\u09bc \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af = n\\lambda<\/span><\/span>.<\/span><\/p>\n

\u09ac\u09be, S_{2} P-S_{1} P=n \\lambda <\/span><\/span><\/p>\n

\u0986\u09ac\u09be\u09b0 \u09a6\u09cd\u09ac\u09bf\u099a\u09bf\u09a1\u09bc\u09c7\u09b0 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u0993\u09aa\u09b0 O \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af<\/span><\/p>\n

= S_{2}M-S_{1} M = 0\u00a0 <\/span><\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(\\therefore S_1 M = S_2 M <\/span><\/span>)<\/span><\/p>\n

= 0 \\times \\lambda = 0 <\/span><\/span>\u00a0<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 M \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u098f\u0995\u099f\u09bf \u0989\u099c\u09cd\u099c\u09cd\u09ac\u09b2 \u09a1\u09cb\u09b0\u09be \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u09b9\u09af\u09bc\u0964 \u098f\u099f\u09bf\u0995\u09c7 \u0985\u09a8\u09c7\u0995 \u09b8\u09ae\u09af\u09bc \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u09c0\u09af\u09bc \u099a\u09b0\u09ae \u09ac\u09b2\u09be \u09b9\u09af\u09bc\u0964 M \u09a5\u09c7\u0995\u09c7 \u09aa\u09cd\u09b0\u09a5\u09ae \u0989\u099c\u09cd\u099c\u09cd\u09ac\u09b2 \u09a1\u09cb\u09b0\u09be\u099f\u09bf \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09ac\u09c7 P-\u09a4\u09c7 \u09af\u09c7\u0996\u09be\u09a8\u09c7 n = 1 \u098f\u09ac\u0982 \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af = S_{2} P-S_{1} P=1 \\times \\lambda <\/span><\/span><\/p>\n

 <\/p>\n

\u09e8. \u09a7\u09cd\u09ac\u0982\u09b8\u09be\u09a4\u09cd\u09ae\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09ac\u09be \u0985\u09a8\u09cd\u09a7\u0995\u09be\u09b0 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09b0 \u09b6\u09b0\u09cd\u09a4 ( Conditions of Destructive Interference ):<\/b> \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 \u09a4\u09a5\u09be \u09aa\u09cd\u09b0\u09be\u09ac\u09b2\u09cd\u09af \u09b8\u09b0\u09cd\u09ac\u09a8\u09bf\u09ae\u09cd\u09a8 \u09b9\u09ac\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09a7\u09cd\u09ac\u0982\u09b8\u09be\u09a4\u09cd\u09ae\u0995 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0<\/span>
\n<\/span>\u09b9\u09ac\u09c7, \u09af\u0996\u09a8\u2014<\/span><\/p>\n\\cos \\frac{\\pi x}{\\lambda} = 0 <\/span>\n

\u00a0<\/span><\/p>\n

\u09ac\u09be, \\frac{\\pi x}{\\lambda}=\\frac{\\pi}{2}, \\frac{3 \\pi}{2} \\ldots \\ldots \\ldots \\ldots \\ldots \\ldots \\ldots(2 n+1) \\frac{\\pi}{2} <\/span><\/span><\/p>\n

\u09ac\u09be, x=(2 n+1) \\frac{\\lambda}{2} <\/span><\/span><\/p>\n

\u098f\u0996\u09be\u09a8\u09c7 <\/span>n\u00a0<\/span>= 0,1,2,3 \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf\u00a0\u00a0<\/span><\/p>\n

\u0985\u09a4\u098f\u09ac, \u0986\u09b2\u09cb\u09b0 \u09a4\u09c0\u09ac\u09cd\u09b0\u09a4\u09be \u09b8\u09b0\u09cd\u09ac\u09a8\u09bf\u09ae\u09cd\u09a8 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0985\u09a8\u09cd\u09a7\u0995\u09be\u09b0 \u09b9\u0993\u09af\u09bc\u09be\u09b0 \u09b6\u09b0\u09cd\u09a4 \u09b9\u09b2\u09cb \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af \\frac{\\lambda}{2} <\/span><\/span>-\u098f\u09b0 \u0985\u09af\u09c1\u0997\u09cd\u09ae \u0997\u09c1\u09a3\u09bf\u09a4\u0995 \u09b9\u09a4\u09c7<\/span>
\n<\/span>\u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af \\left(n+\\frac{1}{2}\\right) \\lambda <\/span><\/span><\/p>\n

\u09af\u09c7\u0996\u09be\u09a8\u09c7, <\/span>n<\/span> = 1, 2, 3 \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf<\/span><\/p>\n

(\u09ed.\u09e7\u09e6) \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 Q \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u098f\u0995\u099f\u09bf \u0985\u09a8\u09cd\u09a7\u0995\u09be\u09b0 \u09a1\u09cb\u09b0\u09be \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u09b9\u09af\u09bc \u098f\u09ac\u0982 M \u09a5\u09c7\u0995\u09c7 \u098f\u099f\u09bf\u0987 \u09aa\u09cd\u09b0\u09a5\u09ae \u0985\u09a8\u09cd\u09a7\u0995\u09be\u09b0 \u09a1\u09cb\u09b0\u09be\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982<\/span>
\n<\/span>n = 1 \u098f\u09ac\u0982 \u09aa\u09a5 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af-<\/span><\/p>\nS_{2} Q-S_{1} Q=\\left(1+\\frac{1}{2}\\right) \\lambda=\\frac{3 \\lambda}{2} <\/span>\n","protected":false},"excerpt":{"rendered":"

\u0986\u09b2\u09be\u09cb\u0995\u09c7\u09b0 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u0987\u09af\u09bc\u0982-\u098f\u09b0 \u09a6\u09cd\u09ac\u09bf-\u099a\u09bf\u09a1\u09bc \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be (Young’s double slit experiment on interference of light) 1807 \u0996\u09cd\u09b0\u09bf\u09b8\u09cd\u099f\u09be\u09ac\u09cd\u09a6\u09c7 \u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 \u0987\u09af\u09bc\u0982 \u0986\u09b2\u09cb\u0995\u09c7\u09b0 \u09ac\u09cd\u09af\u09a4\u09bf\u099a\u09be\u09b0 \u09aa\u09cd\u09b0\u09a6\u09b0\u09cd\u09b6\u09a8\u09c7\u09b0 \u09a8\u09bf\u09ae\u09bf\u09a4\u09cd\u09a4\u09c7 \u098f\u0995\u099f\u09bf \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09a8 \u0995\u09b0\u09c7\u09a8\u0964 \u09a4\u09be\u0981\u09b0 \u09a8\u09be\u09ae\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 \u098f\u0987 \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u0995\u09c7 \u0987\u09af\u09bc\u0982-\u098f\u09b0 \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be (Young’s double slit experiment )\u09ac\u09b2\u09be \u09b9\u09af\u09bc\u0964 \u098f\u0987 \u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u09af\u09bc<\/p>\n

Read More<\/a><\/p>\n","protected":false},"author":56,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4251,3029,50,51,1],"tags":[],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/4986"}],"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\/56"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=4986"}],"version-history":[{"count":12,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/4986\/revisions"}],"predecessor-version":[{"id":15783,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/4986\/revisions\/15783"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=4986"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=4986"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=4986"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}