{"id":3083,"date":"2022-03-24T12:07:39","date_gmt":"2022-03-24T12:07:39","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=3083"},"modified":"2022-03-24T06:24:38","modified_gmt":"2022-03-24T06:24:38","slug":"surface-energy","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/surface-energy\/","title":{"rendered":"\u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf (Surface Energy)"},"content":{"rendered":"

\u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf <\/b>(Surface Energy)<\/b><\/h2>\n

\u09b8\u0982\u099c\u09cd\u099e\u09be :<\/b> \u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09af\u09bc \u0995\u09cb\u09a8\u09cb \u09a4\u09b0\u09b2\u09c7\u09b0 \u09ae\u09c1\u0995\u09cd\u09a4\u09a4\u09b2\u09c7\u09b0 \u098f\u0995\u0995 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf\u09b0 \u099c\u09a8\u09cd\u09af \u09b8\u09ae\u09cd\u09aa\u09a8\u09cd\u09a8 \u0995\u09be\u099c\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09a4\u09a5\u09be \u09ae\u09c1\u0995\u09cd\u09a4\u09a4\u09b2\u09c7\u09b0 \u098f\u0995\u0995 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7 \u09b8\u099e\u09cd\u099a\u09bf\u09a4 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u0995\u09c7\u0987 \u09a4\u09b0\u09b2\u09c7\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09b2\u09c7 \u0964<\/b><\/h4>\n

\u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be :<\/b> \u0995\u09cb\u09a8\u09cb \u09a4\u09b0\u09b2\u09c7\u09b0 \u09ae\u09c1\u0995\u09cd\u09a4 \u09a4\u09b2\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 <\/span>\\Delta A<\/span><\/span> \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09a4\u09c7 \u09af\u09a6\u09bf <\/span>\\ W<\/span><\/span> \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u0995\u09be\u099c \u09b8\u09ae\u09cd\u09aa\u09a8\u09cd\u09a8 \u09b9\u09af\u09bc, \u09a4\u09be\u09b9\u09b2\u09c7 \u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf,<\/span><\/p>\nE=W\\Delta A<\/span>\n

\u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b9\u09ac\u09c7 \\frac{\u0995\u09be\u099c}{\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2}<\/span><\/span>\u00a0\u098f\u09b0 \u09ae\u09be\u09a4\u09cd\u09b0\u09be, \u0985\u09b0\u09cd\u09a5\u09be\u09ce MT^{-2}<\/span><\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09a6\u09c7\u0996\u09be \u09af\u09be\u099a\u09cd\u099b\u09c7 \u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0993 \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8\u09c7\u09b0 \u09ae\u09be\u09a4\u09cd\u09b0\u09be \u098f\u0995\u0987 \u0964<\/span><\/p>\n

\u0995\u09be\u099c\u09c7\u09b0 \u098f\u0995\u0995\u0995\u09c7 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u098f\u0995\u0995 \u09a6\u09bf\u09af\u09bc\u09c7 \u09ad\u09be\u0997 \u0995\u09b0\u09b2\u09c7 \u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u098f\u0995\u0995 \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09af\u09bc \u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u098f\u09b0 \u098f\u0995\u0995 \u09b9\u099a\u09cd\u099b\u09c7 \\frac{J}{m^2}<\/span><\/span>\u00a0 \u09ac\u09be Jm^{-2}<\/span><\/span> \u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 Jm^{-2}<\/span><\/span>\u00a0\u09b9\u099a\u09cd\u099b\u09c7 <\/span>N\u00a0m<\/span>m<\/span>-2<\/span> \u09ac\u09be, <\/span>N\u00a0<\/span>m<\/span>-1<\/span>\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09a6\u09c7\u0996\u09be \u09af\u09be\u099a\u09cd\u099b\u09c7, \u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u098f\u0995\u0995 \u0986\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8\u09c7\u09b0 \u098f\u0995\u0995 \u098f\u0995\u0987 \u0964 \u0986\u09b8\u09b2\u09c7 \u0995\u09cb\u09a8\u09cb \u09a4\u09b0\u09b2\u09c7\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf \u0986\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8 \u098f\u0995\u0987 \u0964<\/span><\/p>\n

\u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8\u09c7\u09b0 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 <\/b>(Relationship between Surface\u00a0Energy and Surface Tension): <\/strong>\u09ae\u09a8\u09c7 \u0995\u09b0\u09bf, ABCD <\/span> \u098f\u0995\u099f\u09bf \u09a4\u09be\u09b0\u09c7\u09b0 \u09ab\u09cd\u09b0\u09c7\u09ae \u0964 \u098f\u09b0 BC<\/span> \u09ac\u09be\u09b9\u09c1\u099f\u09bf AB<\/span> \u0993 DC<\/span> \u09ac\u09be\u09b9\u09c1 \u09ac\u09b0\u09be\u09ac\u09b0 \u0985\u09ac\u09be\u09a7\u09c7 \u099a\u09b2\u09be\u099a\u09b2 \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7 \u0964 \u09a4\u09be\u09b0\u099f\u09bf\u0995\u09c7 \u09b8\u09be\u09ac\u09be\u09a8 \u09aa\u09be\u09a8\u09bf\u09a4\u09c7 \u09a1\u09c1\u09ac\u09bf\u09af\u09bc\u09c7 \u09a4\u09c1\u09b2\u09c7 \u0986\u09a8\u09b2\u09c7 \u098f\u09b0 \u09ae\u09be\u099d\u0996\u09be\u09a8\u09c7 \u098f\u0995\u099f\u09bf \u09aa\u09be\u09a4\u09b2\u09be \u09aa\u09b0\u09cd\u09a6\u09be \u0986\u099f\u0995\u09c7 \u09a5\u09be\u0995\u09ac\u09c7 \u0964 \u098f \u09aa\u09b0\u09cd\u09a6\u09be \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09ab\u09cd\u09b0\u09c7\u09ae\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995 \u09ac\u09be\u09b9\u09c1\u0995\u09c7 \u09ad\u09c7\u09a4\u09b0\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u099f\u09be\u09a8\u09a4\u09c7 \u09a5\u09be\u0995\u09c7 \u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 BC <\/span> \u09ac\u09be\u09b9\u09c1 \u099b\u09be\u09a1\u09bc\u09be \u0985\u09aa\u09b0 \u09ac\u09be\u09b9\u09c1\u0997\u09c1\u09b2\u09cb \u0986\u099f\u0995\u09be\u09a8\u09cb \u09a5\u09be\u0995\u09be\u09af\u09bc \u09b8\u09c7\u0997\u09c1\u09b2\u09cb \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a5\u09be\u0995\u09ac\u09c7 \u0964 \u098f\u09b0 \u09ab\u09b2\u09c7 \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af BC<\/span> \u09ac\u09be\u09b9\u09c1\u099f\u09bf AD<\/span> \u09ac\u09be\u09b9\u09c1\u09b0 \u09a6\u09bf\u0995\u09c7 \u0985\u0997\u09cd\u09b0\u09b8\u09b0 \u09b9\u09ac\u09c7 \u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 BC<\/span> \u09ac\u09be\u09b9\u09c1\u0995\u09c7 \u098f\u09b0 \u09a8\u09bf\u099c \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09b0\u09be\u0996\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4 \u09a6\u09bf\u0995\u09c7 \u09ac\u09b2 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u0997 \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7 \u0964<\/p>\n

\"Surface<\/p>\n

BC <\/span> \u09ac\u09be\u09b9\u09c1\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af <\/span>l<\/span><\/span> \u098f\u09ac\u0982 \u09a4\u09b0\u09b2\u09c7\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8 <\/span>T<\/span><\/span> \u09b9\u09b2\u09c7, <\/span>BC<\/span><\/span> \u09a4\u09be\u09b0\u09c7\u09b0 \u0989\u09aa\u09b0 <\/span>AD<\/span><\/span> \u098f\u09b0 \u09a6\u09bf\u0995\u09c7 \u09ae\u09cb\u099f \u09ac\u09b2 \u09b9\u09ac\u09c7,\u00a0<\/span><\/p>\n

F=l\u00d7T+l\u00d7T=2 l\u00d7T<\/span> <\/span>(\u0995\u09c7\u09a8\u09a8\u09be \u09aa\u09b0\u09cd\u09a6\u09be\u09b0 \u0989\u09aa\u09b0\u09c7 \u098f\u09ac\u0982 \u09a8\u09bf\u099a\u09c7 \u09a6\u09c1\u099f\u09bf \u09aa\u09c3\u09b7\u09cd\u09a0 \u0986\u099b\u09c7 \u098f\u09ac\u0982 \u0989\u09ad\u09af\u09bc\u09c7\u09b0\u0987 \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8 T<\/span> ) <\/span>\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 <\/span>BC<\/span><\/span> \u09ac\u09be\u09b9\u09c1\u0995\u09c7 \u098f\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09b0\u09be\u0996\u09a4\u09c7 \u09b9\u09b2\u09c7 \u098f\u09b0 \u0989\u09aa\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8\u09c7\u09b0 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4\u09ae\u09c1\u0996\u09c0 \u09af\u09c7 \u09ac\u09b2 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u0997 \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7 \u09a4\u09be\u09b0 \u09ae\u09be\u09a8 <\/span>F=2lT<\/span> <\/span>\u0964 \u098f\u0996\u09a8 <\/span>BC<\/span><\/span> \u09a4\u09be\u09b0\u0995\u09c7 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac <\/span>b<\/span><\/span> \u09b8\u09b0\u09bf\u09af\u09bc\u09c7 <\/span>B'C'<\/span><\/span> \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u0986\u09a8\u09a4\u09c7 \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09bf\u09a4 \u0995\u09be\u099c \u09b9\u09ac\u09c7,<\/span><\/p>\n

W=Fb<\/span><\/span><\/p>\n

\u09ac\u09be, W=2lTb<\/span><\/span><\/p>\n

\u098f\u09b0 \u09ab\u09b2\u09c7 \u09aa\u09b0\u09cd\u09a6\u09be\u09b0 \u0989\u09aa\u09b0 \u098f\u09ac\u0982 \u09a8\u09bf\u099a \u0989\u09ad\u09af\u09bc \u09aa\u09c3\u09b7\u09cd\u09a0\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 lb <\/span> <\/span>\u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u0995\u09b0\u09c7 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09aa\u09be\u09ac\u09c7 \u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 <\/span>ABCD<\/span><\/span> \u09aa\u09b0\u09cd\u09a6\u09be\u09b0 \u09ae\u09cb\u099f \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09b9\u09ac\u09c7 <\/span>\u2206A=2 lb<\/span>\u00a0<\/span>\u0964<\/span><\/p>\n

\u2234<\/span> \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8\u09c7\u09b0 \u09ac\u09bf\u09b0\u09c1\u09a6\u09cd\u09a7\u09c7 \u09aa\u09cd\u09b0\u09a4\u09bf \u098f\u0995\u0995 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf\u09a4\u09c7 \u0995\u09c3\u09a4\u0995\u09be\u099c \u09ac\u09be \u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf,<\/span><\/p>\nE=\\frac{W}{\\Delta A}=\\frac{2 l T b}{2 l b}=T<\/span>\n

\u098f \u09b6\u0995\u09cd\u09a4\u09bf \u09aa\u09c3\u09b7\u09cd\u09a0\u09c7 \u09b8\u099e\u09cd\u099a\u09bf\u09a4 \u09b9\u09ac\u09c7 \u0964<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u0995\u09cb\u09a8\u09cb \u09a4\u09b0\u09b2\u09c7\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf \u09a4\u09be\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8 \u0964<\/b><\/p>\n

\u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7 \u0995\u09c3\u09a4\u0995\u09be\u099c :<\/b> \u09a4\u09b0\u09b2\u09c7\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u0995\u09b0\u09a4\u09c7 \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09b9\u09af\u09bc \u098f\u09ac\u0982 \u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09a4\u09c7 \u09b9\u09b2\u09c7 (\u09af\u09c7\u09ae\u09a8 \u0995\u09cb\u09a8\u09cb \u09ac\u09a1\u09bc \u09a4\u09b0\u09b2 \u09ab\u09cb\u0981\u099f\u09be\u0995\u09c7 \u09ad\u09c7\u0999\u09cd\u0997\u09c7 \u0985\u09a8\u09c7\u0995\u0997\u09c1\u09b2\u09cb \u09b8\u09ae\u0986\u09af\u09bc\u09a4\u09a8 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09ab\u09cb\u0981\u099f\u09be\u09af\u09bc \u09aa\u09b0\u09bf\u09a3\u09a4 \u0995\u09b0\u09be) \u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u09b0\u09ac\u09b0\u09be\u09b9 \u0995\u09b0\u09a4\u09c7 \u09b9\u09af\u09bc \u09ab\u09b2\u09c7 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09aa\u09be\u09af\u09bc \u0986\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 \u0995\u09ae\u09bf\u09af\u09bc\u09c7 \u09b8\u0999\u09cd\u0995\u09c1\u099a\u09bf\u09a4 \u0995\u09b0\u09a4\u09c7 \u09b9\u09b2\u09c7 (\u09af\u09c7\u09ae\u09a8 \u0985\u09a8\u09c7\u0995 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09ab\u09cb\u0981\u099f\u09be \u098f\u0995\u09a4\u09cd\u09b0\u09bf\u09a4 \u0995\u09b0\u09c7 \u09ac\u09a1\u09bc \u09ab\u09cb\u0981\u099f\u09be\u09af\u09bc \u09b0\u09c2\u09aa\u09be\u09a8\u09cd\u09a4\u09b0\u09bf\u09a4 \u0995\u09b0\u09be) \u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09c7\u09b0 \u0995\u09b0\u09c7 \u09a8\u09bf\u09a4\u09c7 \u09b9\u09af\u09bc, \u09ab\u09b2\u09c7 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b9\u09cd\u09b0\u09be\u09b8 \u09aa\u09be\u09af\u09bc \u0964 \u098f \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09bf\u09a4 \u0995\u09be\u099c\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8 \u0964\u00a0<\/span><\/p>\n

\u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09bf\u09a4 \u0995\u09be\u099c <\/span>=<\/span> \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u099c\u09a8\u09c0\u09af\u09bc \u09ac\u09be \u09a8\u09bf\u09b0\u09cd\u0997\u09a4 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0\u00a0<\/span><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>=\u00a0<\/span>\u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 <\/span>\\times<\/span> <\/span>\u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf<\/span><\/p>\n

\u2234<\/span> \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u099c\u09a8\u09c0\u09af\u09bc \u09b6\u0995\u09cd\u09a4\u09bf <\/span>=<\/span> \u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3 \\times<\/span>\u00a0<\/span> \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8<\/span><\/p>\n

\u09a8\u09bf\u09b0\u09cd\u0997\u09a4 \u09b6\u0995\u09cd\u09a4\u09bf <\/span>=<\/span> \u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09b8\u0982\u0995\u09cb\u099a\u09a8 \\times<\/span>\u00a0<\/span> \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8<\/span><\/p>\n

\u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3 \u09ac\u09be \u09b8\u0982\u0995\u09cb\u099a\u09a8 <\/span>\\Delta{A}<\/span><\/span> \u098f\u09ac\u0982 \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8 <\/span>T<\/span><\/span> \u09b9\u09b2\u09c7 \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09bf\u09a4 \u0995\u09be\u099c\u00a0<\/span><\/p>\n

W=\\Delta A \\times T<\/span><\/span><\/p>\n

\u0995\u09cb\u09a8\u09cb \u09ac\u09c3\u09b9\u09ce \u09a4\u09b0\u09b2 \u09ab\u09cb\u0981\u099f\u09be\u0995\u09c7 \u09ad\u09c7\u0999\u09c7 N <\/span> \u09b8\u0982\u0996\u09cd\u09af\u0995 \u09b8\u09ae\u0986\u09af\u09bc\u09a4\u09a8, \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09ab\u09cb\u0981\u099f\u09be\u09af\u09bc \u09aa\u09b0\u09bf\u09a3\u09a4 \u0995\u09b0\u09b2\u09c7 \u0993 \u098f\u09a6\u09c7\u09b0 \u09ae\u09cb\u099f \u0986\u09af\u09bc\u09a4\u09a8 \u09ac\u09dc \u09ab\u09cb\u0981\u099f\u09be\u09b0 \u0986\u09af\u09bc\u09a4\u09a8\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8 \u09b9\u09ac\u09c7 \u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09ac\u09a1\u09bc \u09ab\u09cb\u0981\u099f\u09be\u09b0 \u0986\u09af\u09bc\u09a4\u09a8 <\/span>= N<\/span> \u00d7<\/span> \u099b\u09cb\u099f \u09ab\u09cb\u0981\u099f\u09be\u09b0 \u0986\u09af\u09bc\u09a4\u09a8 \u0964\u00a0<\/span><\/p>\n

\u09ac\u09be, \\frac{4}{3} \\pi R^{3}=N \\times \\frac{4}{3} \\pi r^{3}<\/span><\/span><\/p>\n

\u098f\u0996\u09be\u09a8\u09c7, <\/span>R<\/span><\/span> \u0993 <\/span>r<\/span><\/span> \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \u09ac\u09c3\u09b9\u09ce \u0993 \u099b\u09cb\u099f \u09ab\u09cb\u0981\u099f\u09be\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7 \u0964\u00a0<\/span><\/p>\n

\u09ac\u09a1\u09bc \u09ab\u09cb\u0981\u099f\u09be\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 4\u03c0R^{2}<\/span><\/span><\/p>\n

\u098f\u09ac\u0982 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u099b\u09cb\u099f \u09ab\u09cb\u0981\u099f\u09be\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 4\u03c0r^{2}\u00a0<\/span><\/span><\/p>\n

\u098f\u09ac\u0982 <\/span>N<\/span> \u09b8\u0982\u0996\u09cd\u09af\u0995 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09ab\u09cb\u0981\u099f\u09be\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 <\/span>=\u00a0 \u00a0 \u00a0 \u00a0N\\times 4\\pi r^{2}<\/span><\/span><\/p>\n

\u2234<\/span> \u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3, \\Delta A=N \\times 4 \\pi r^{2}-4 \\pi R^{2}=4 \\pi\\left(N r^{2}-R^{2}\\right)<\/span><\/span><\/p>\n

\u0986\u09b0, <\/span>N<\/span> \u09b8\u0982\u0996\u09cd\u09af\u0995 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0 \u09ab\u09cb\u0981\u099f\u09be (\u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7 <\/span>r<\/span>) \u098f\u0995\u09a4\u09cd\u09b0\u09bf\u09a4 \u0995\u09b0\u09c7 \u098f\u0995\u099f\u09bf \u09ac\u09a1\u09bc \u09ab\u09cb\u0981\u099f\u09be (\u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7 <\/span>R<\/span>) \u0995\u09b0\u09b2\u09c7 \u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09b8\u0982\u0995\u09cb\u099a\u09a8,<\/span><\/p>\n\\Delta A =N \\times 4 \\pi r^{2}-4 \\pi R^{2}<\/span>\n=4 \\pi\\left(N r^{2}-R^{2}\\right)<\/span>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u099c\u09a8\u09c0\u09af\u09bc \u09ac\u09be \u09a8\u09bf\u09b0\u09cd\u0997\u09a4 \u09b6\u0995\u09cd\u09a4\u09bf<\/span><\/p>\n

W=<\/span><\/span> \u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 <\/span> \u09aa\u09c3\u09b7\u09cd\u09a0\u099f\u09be\u09a8<\/span><\/p>\n

=\\Delta A \\times T<\/span><\/span><\/p>\n

\u09ac\u09be, W=4 \\pi\\left(N r^{2}-R^{2}\\right) T<\/span><\/span><\/p>\n

\u0989\u09b2\u09cd\u09b2\u09c7\u0996\u09cd\u09af \u09af\u09c7, \u09a8\u09bf\u09b0\u09c7\u099f \u0997\u09cb\u09b2\u0995 \u09af\u09c7\u09ae\u09a8 \u09aa\u09be\u09a8\u09bf\u09b0 \u09ab\u09cb\u0981\u099f\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09bf\u09a4 \u0995\u09be\u099c\u09c7\u09b0 \u09b9\u09bf\u09b8\u09be\u09ac \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09be \u09af\u09be\u09af\u09bc \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09ab\u09be\u0981\u09aa\u09be \u09ac\u09c1\u09a6\u09ac\u09c1\u09a6 \u09af\u09c7\u09ae\u09a8 \u09b8\u09be\u09ac\u09be\u09a8\u09c7\u09b0 \u09ab\u09c7\u09a8\u09be\u09b0 \u09ac\u09c1\u09a6\u09ac\u09c1\u09a6\u09c7\u09b0 \u09a6\u09c1\u099f\u09bf \u09aa\u09c3\u09b7\u09cd\u09a0 \u09a5\u09be\u0995\u09c7 \u0964 \u09b8\u09c7\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09aa\u09c3\u09b7\u09cd\u09a0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3, \\Delta A=2 \\times 4 \\pi \\times\\left(r_{2}{ }^{2}-1^{2}\\right)<\/span><\/span>\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09ab\u09be\u0981\u09aa\u09be \u09ac\u09c1\u09a6\u09ac\u09c1\u09a6\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3\u09c7\u09b0 \u09ab\u09b2\u09c7 \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09bf\u09a4 \u0995\u09be\u099c,<\/span><\/p>\nW=\\Delta A \\times T=2 \\times 4 \\pi \\times\\left(r_{2}^{2}-r_{1}^{2}\\right) T<\/span>\n

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

\u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf (Surface Energy) \u09b8\u0982\u099c\u09cd\u099e\u09be : \u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09af\u09bc \u0995\u09cb\u09a8\u09cb \u09a4\u09b0\u09b2\u09c7\u09b0 \u09ae\u09c1\u0995\u09cd\u09a4\u09a4\u09b2\u09c7\u09b0 \u098f\u0995\u0995 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf\u09b0 \u099c\u09a8\u09cd\u09af \u09b8\u09ae\u09cd\u09aa\u09a8\u09cd\u09a8 \u0995\u09be\u099c\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09a4\u09a5\u09be \u09ae\u09c1\u0995\u09cd\u09a4\u09a4\u09b2\u09c7\u09b0 \u098f\u0995\u0995 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7 \u09b8\u099e\u09cd\u099a\u09bf\u09a4 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u0995\u09c7\u0987 \u09a4\u09b0\u09b2\u09c7\u09b0 \u09aa\u09c3\u09b7\u09cd\u09a0\u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09b2\u09c7 \u0964 \u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be : \u0995\u09cb\u09a8\u09cb \u09a4\u09b0\u09b2\u09c7\u09b0 \u09ae\u09c1\u0995\u09cd\u09a4 \u09a4\u09b2\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09a4\u09c7 \u09af\u09a6\u09bf \u09aa\u09b0\u09bf\u09ae\u09be\u09a3<\/p>\n

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