{"id":248187,"date":"2022-09-10T09:34:33","date_gmt":"2022-09-10T04:04:33","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-acceleration-of-an-electron-due-to-the-mutual-attraction-between-the-electron-and-a-proton-when-they-are-1-6-a0-apart-is-take-14%cf%80%ce%b509x109nm2c-2me\/"},"modified":"2023-02-15T15:22:48","modified_gmt":"2023-02-15T09:52:48","slug":"question-physics-the-acceleration-of-an-electron-due-to-the-mutual-attraction","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-acceleration-of-an-electron-due-to-the-mutual-attraction\/","title":{"rendered":"The acceleration of an electron due to the mutual attraction between the electron and a proton when they are 1.6\u00a0A0\u00a0apart is,\u00a0\u00a0take,\u00a014\u03c0\u03b50=9\u00d7109Nm2C-2,me\u22439\u00d710-31\u00a0kg,e=1.6\u00d710-19\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"The acceleration of an electron due to","_yoast_wpseo_title":"The acceleration of an electron due to the mutual attraction between...","_yoast_wpseo_metadesc":"The acceleration of an electron due to the mutual attraction between the electron and a proton when they are 1.6\u00a0A0\u00a0apart is.....\"?\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0","custom_permalink":"question\/physics\/the-acceleration-of-an-electron-due-to-the-mutual-attraction\/"},"categories":[],"acf":{"question":"<p>The acceleration of an electron due to the mutual attraction between the electron and a proton when they are 1.6&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mover><mi mathvariant=\"normal\">A<\/mi><mn>0<\/mn><\/mover><\/math>&nbsp;apart is,&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mtable columnalign=\"left\"><mtr><mtd><mtext>&nbsp;take,&nbsp;<\/mtext><mfrac><mn>1<\/mn><mrow><mn>4<\/mn><mi>\u03c0<\/mi><msub><mi>\u03b5<\/mi><mn>0<\/mn><\/msub><\/mrow><\/mfrac><mo>=<\/mo><mn>9<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mn>9<\/mn><\/msup><msup><mi>Nm<\/mi><mn>2<\/mn><\/msup><msup><mi mathvariant=\"normal\">C<\/mi><mrow><mo>-<\/mo><mn>2<\/mn><\/mrow><\/msup><mo>,<\/mo><msub><mi>m<\/mi><mi>e<\/mi><\/msub><mo>\u2243<\/mo><mn>9<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>31<\/mn><\/mrow><\/msup><mo>&nbsp;<\/mo><mi>kg<\/mi><mo>,<\/mo><\/mtd><\/mtr><mtr><mtd><mi>e<\/mi><mo>=<\/mo><mn>1<\/mn><mo>.<\/mo><mn>6<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>19<\/mn><\/mrow><\/msup><\/mtd><\/mtr><\/mtable><\/mfenced><\/math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<\/p>","options":[{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msup><mn>10<\/mn><mn>24<\/mn><\/msup><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">m<\/mi><mo>\/<\/mo><msup><mi mathvariant=\"normal\">s<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msup><mn>10<\/mn><mn>23<\/mn><\/msup><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">m<\/mi><mo>\/<\/mo><msup><mi mathvariant=\"normal\">s<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msup><mn>10<\/mn><mn>22<\/mn><\/msup><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">m<\/mi><mo>\/<\/mo><msup><mi mathvariant=\"normal\">s<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":true},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msup><mn>10<\/mn><mn>25<\/mn><\/msup><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">m<\/mi><mo>\/<\/mo><msup><mi mathvariant=\"normal\">s<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":false}],"solution":"<p>Force due to mutual attraction between the electron and proton. (when, &nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>r<\/mi><mo>=<\/mo><mn>1<\/mn><mo>.<\/mo><mn>6<\/mn><mo>&nbsp;<\/mo><mover><mi mathvariant=\"normal\">A<\/mi><mn>0<\/mn><\/mover><mo>=<\/mo><mn>1<\/mn><mo>.<\/mo><mn>6<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>10<\/mn><\/mrow><\/msup><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">m<\/mi><\/math>) &nbsp;is given as<\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>F<\/mi><mo>=<\/mo><mn>9<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mn>9<\/mn><\/msup><mo>\u00d7<\/mo><mfrac><msup><mi>e<\/mi><mn>2<\/mn><\/msup><msup><mi>r<\/mi><mn>2<\/mn><\/msup><\/mfrac><\/math><\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mn>9<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mn>9<\/mn><\/msup><mo>\u00d7<\/mo><mfrac><msup><mfenced><mrow><mn>1<\/mn><mo>.<\/mo><mn>6<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>19<\/mn><\/mrow><\/msup><\/mrow><\/mfenced><mn>2<\/mn><\/msup><msup><mfenced><mrow><mn>1<\/mn><mo>.<\/mo><mn>6<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>10<\/mn><\/mrow><\/msup><\/mrow><\/mfenced><mn>2<\/mn><\/msup><\/mfrac><mo>=<\/mo><mn>9<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>9<\/mn><\/mrow><\/msup><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">N<\/mi><\/math><\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u2234<\/mo><\/math>&nbsp; &nbsp;Acceleration of electron<\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mfrac><mi>F<\/mi><msub><mi>m<\/mi><mi>e<\/mi><\/msub><\/mfrac><mo>=<\/mo><mfrac><mrow><mn>9<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>9<\/mn><\/mrow><\/msup><\/mrow><mrow><mn>9<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>31<\/mn><\/mrow><\/msup><\/mrow><\/mfrac><mo>=<\/mo><msup><mn>10<\/mn><mn>22<\/mn><\/msup><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">m<\/mi><mo>\/<\/mo><msup><mi mathvariant=\"normal\">s<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The acceleration of an electron due to the mutual attraction between...<\/title>\n<meta name=\"description\" content=\"The acceleration of an electron due to the mutual attraction between the electron and a proton when they are 1.6\u00a0A0\u00a0apart is.....&quot;?\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\" 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