{"id":345989,"date":"2023-01-06T14:57:55","date_gmt":"2023-01-06T09:27:55","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/two-like-charges-of-magnitude-10%e2%88%929-coulomb-each-are-separated-by-a-distance-of-2-m-in-free-space-if-the-distance-between-the-charges-is-increased-to-4m-then-the-ratio-of-electric-poten\/"},"modified":"2025-06-26T17:48:22","modified_gmt":"2025-06-26T12:18:22","slug":"two-like-charges-of-magnitude-10%e2%88%929-coulomb-each-are-separated-by-a-distance-of-2-m-in-free-space-if-the-distance-between-the-charges-is-increased-to-4m-then-the-ratio-of-electric-poten","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/two--like-charges-of-magnitude-109-----coulomb-each-are-sep\/","title":{"rendered":"Two like charges of magnitude 10\u22129 coulomb each are separated by a distance of 2 m in free space. If the distance between the charges is increased to 4m then the ratio of electric potential energies is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Two like charges of magnitude 10\u22129 coulomb each are separated by a distance of 2 m in free space. If the distance between the charges is increased to 4m then the ratio of electric potential energies is","custom_permalink":"question\/physics\/two--like-charges-of-magnitude-109-----coulomb-each-are-sep\/"},"categories":[],"acf":{"question":"Two like charges of magnitude 10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup><\/mrow><\/math> <\/xml>coulomb each are separated by a distance of 2 m in free space. If the distance between the charges is increased to 4m then the ratio of electric potential energies is","options":[{"option":"1 : 2 ","correct":false},{"option":"2 : 1 ","correct":true},{"option":"3 : 4 ","correct":false},{"option":"9 : 4 ","correct":false}],"solution":"q<\/mtext>1<\/mtext><\/msub>=<\/mo>10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup>;<\/mo>q<\/mtext>2<\/mtext><\/msub>=<\/mo>10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup>,<\/mo>r<\/mtext>1<\/mtext><\/msub>=<\/mo>2<\/mn>m<\/mtext>,<\/mo>r<\/mtext>2<\/mtext><\/msub>=<\/mo>4m<\/mtext><\/mrow><\/math> <\/xml>

U<\/mtext>1<\/mtext><\/msub>=<\/mo>1<\/mn>4<\/mn>\u03c0<\/mi>\u2208<\/mo>0<\/mn><\/msub><\/mrow><\/mfrac>\u00d7<\/mo>q<\/mtext>1<\/mtext><\/msub>q<\/mtext>2<\/mtext><\/msub><\/mrow>r<\/mtext>1<\/mtext><\/msub><\/mrow><\/mfrac>=<\/mo>9<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>9<\/mn><\/msup>\u00d7<\/mo>10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup>\u00d7<\/mo>10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup><\/mrow>2<\/mn><\/mfrac>=<\/mo>9<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup><\/mrow>2<\/mn><\/mfrac><\/mrow><\/math> <\/xml><\/p>

U<\/mtext>2<\/mn><\/msub>=<\/mo>1<\/mn>4<\/mn>\u03c0<\/mi>\u03b5<\/mi>0<\/mn><\/msub><\/mrow><\/mfrac>q<\/mtext>1<\/mtext><\/msub>q<\/mtext>2<\/mtext><\/msub><\/mrow>r<\/mtext><\/mfrac>=<\/mo>9<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>9<\/mn><\/msup>\u00d7<\/mo>10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup>\u00d7<\/mo>10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup><\/mrow>4<\/mn><\/mfrac>=<\/mo>9<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup><\/mrow>4<\/mn><\/mfrac>\u21d2<\/mo>U<\/mtext>1<\/mtext><\/msub><\/mrow>U<\/mtext>2<\/mtext><\/msub><\/mrow><\/mfrac>=<\/mo>9<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup><\/mrow>2<\/mn><\/mfrac><\/mrow>9<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>\u2212<\/mo>9<\/mn><\/mrow><\/msup><\/mrow>4<\/mn><\/mfrac><\/mrow><\/mfrac>=<\/mo>2<\/mn>1<\/mn><\/mfrac><\/mrow><\/math> <\/xml><\/p>

U<\/mtext>1<\/mn><\/msub>:<\/mo>U<\/mtext>2<\/mn><\/msub>=<\/mo>2<\/mn>:<\/mo>1<\/mn><\/mrow><\/math> <\/xml><\/p> ","subject":""},"yoast_head":"\nTwo like charges of magnitude 10\u22129 coulomb each are separated by a distance of 2 m in free space. If the distance between the charges is increased to 4m then the ratio of electric potential energies is - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Two like charges of magnitude 10\u22129 coulomb each are separated by a distance of 2 m in free space. 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