{"id":258461,"date":"2022-09-10T12:03:21","date_gmt":"2022-09-10T06:33:21","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/two-beams-of-light-having-intensities-i-and-4i-interfere-to-produce-a-fringe-pattern-on-a-screen-the-phase-difference-between-the-beams-is-%cf%802-at-point-a-and-%cf%80-at-point\/"},"modified":"2022-09-10T12:03:21","modified_gmt":"2022-09-10T06:33:21","slug":"two-beams-of-light-having-intensities-i-and-4i-interfere-to-produce-a-fringe-pattern-on-a-screen-the-phase-difference-between-the-beams-is-%cf%802-at-point-a-and-%cf%80-at-point","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/two-beams-of-light-having-intensities-i-and-4i-interfere-to\/","title":{"rendered":"Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. Then, the difference between resultant intensities at A and B is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. Then, the difference between resultant intensities at A and B is","custom_permalink":"question\/physics\/two-beams-of-light-having-intensities-i-and-4i-interfere-to\/"},"categories":[],"acf":{"question":"<p>Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mi>\u03c0<\/mi><mn>2<\/mn><\/mfrac><\/math>&nbsp;at point A and&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>\u03c0<\/mi><\/math>&nbsp; at point B. Then, the difference between resultant intensities at A and B is<\/p>","options":[{"option":"<p>5I<\/p>","correct":false},{"option":"<p>4I<\/p>","correct":true},{"option":"<p>3I<\/p>","correct":false},{"option":"<p>7I<\/p>","correct":false}],"solution":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>I<\/mi><mfenced><mi>\u03d5<\/mi><\/mfenced><mo>=<\/mo><msub><mi>I<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>I<\/mi><mn>2<\/mn><\/msub><mo>+<\/mo><mn>2<\/mn><msqrt><msub><mi>I<\/mi><mn>1<\/mn><\/msub><msub><mi>I<\/mi><mn>2<\/mn><\/msub><\/msqrt><mi>cos<\/mi><mi>\u03d5<\/mi><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi>H<\/mi><mi>e<\/mi><mi>r<\/mi><mi>e<\/mi><mo>,<\/mo><mo>&nbsp;<\/mo><msub><mi>I<\/mi><mn>1<\/mn><\/msub><mo>=<\/mo><mi>I<\/mi><mtext>\u2009<\/mtext><mi>a<\/mi><mi>n<\/mi><mi>d<\/mi><mtext>\u2009\u2009<\/mtext><msub><mi>I<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><mn>4<\/mn><mi>I<\/mi><mspace linebreak=\"newline\">&nbsp;<\/mspace><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi>A<\/mi><mi>t<\/mi><mo>&nbsp;<\/mo><mi>p<\/mi><mi>o<\/mi><mi>i<\/mi><mi>n<\/mi><mi>t<\/mi><mo>&nbsp;<\/mo><mi>A<\/mi><mo>,<\/mo><mo>&nbsp;<\/mo><mo>&nbsp;<\/mo><mi>\u03d5<\/mi><mo>=<\/mo><mfrac><mi>\u03c0<\/mi><mn>2<\/mn><\/mfrac><mspace linebreak=\"newline\">&nbsp;<\/mspace><mo>\u2234<\/mo><msub><mi>I<\/mi><mi>A<\/mi><\/msub><mo>=<\/mo><mi>I<\/mi><mo>+<\/mo><mn>4<\/mn><mi>I<\/mi><mo>+<\/mo><mn>0<\/mn><mo>=<\/mo><mn>5<\/mn><mi>I<\/mi><mspace linebreak=\"newline\">&nbsp;<\/mspace><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi>A<\/mi><mi>t<\/mi><mo>&nbsp;<\/mo><mi>p<\/mi><mi>o<\/mi><mi>i<\/mi><mi>n<\/mi><mi>t<\/mi><mo>&nbsp;<\/mo><mi>B<\/mi><mo>,<\/mo><mo>&nbsp;<\/mo><mi>\u03d5<\/mi><mo>=<\/mo><mi>\u03c0<\/mi><mspace linebreak=\"newline\">&nbsp;<\/mspace><mo>\u2234<\/mo><msub><mi>I<\/mi><mi>B<\/mi><\/msub><mo>=<\/mo><mi>I<\/mi><mo>+<\/mo><mn>4<\/mn><mi>I<\/mi><mo>\u2212<\/mo><mn>4<\/mn><mi>I<\/mi><mo>=<\/mo><mi>I<\/mi><mspace linebreak=\"newline\">&nbsp;<\/mspace><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi>h<\/mi><mi>e<\/mi><mi>n<\/mi><mi>c<\/mi><mi>e<\/mi><mo>.<\/mo><mo>&nbsp;<\/mo><msub><mi>I<\/mi><mi>A<\/mi><\/msub><mo>\u2212<\/mo><msub><mi>I<\/mi><mi>B<\/mi><\/msub><mo>=<\/mo><mn>4<\/mn><mi>I<\/mi><mspace linebreak=\"newline\">&nbsp;<\/mspace><mspace linebreak=\"newline\">&nbsp;<\/mspace><mspace linebreak=\"newline\">&nbsp;<\/mspace><\/math><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. Then, the difference between resultant intensities at A and B is - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. Then, the difference between resultant intensities at A and B is\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/two-beams-of-light-having-intensities-i-and-4i-interfere-to\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. Then, the difference between resultant intensities at A and B is - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. 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The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. Then, the difference between resultant intensities at A and B is - Infinity Learn by Sri Chaitanya","description":"Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. Then, the difference between resultant intensities at A and B is","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/question\/physics\/two-beams-of-light-having-intensities-i-and-4i-interfere-to\/","og_locale":"en_US","og_type":"article","og_title":"Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. Then, the difference between resultant intensities at A and B is - Infinity Learn by Sri Chaitanya","og_description":"Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. 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The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. Then, the difference between resultant intensities at A and B is - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2022-09-10T06:33:21+00:00","dateModified":"2022-09-10T06:33:21+00:00","description":"Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is\u00a0\u03c02\u00a0at point A and\u00a0\u03c0\u00a0 at point B. 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