{"id":149262,"date":"2024-03-04T17:35:53","date_gmt":"2024-03-04T12:05:53","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=149262"},"modified":"2024-03-04T17:35:53","modified_gmt":"2024-03-04T12:05:53","slug":"an-air-bubble-is-trapped-at-point-b-cb-20-cm-in-a-glass-sphere-of","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/quiz\/an-air-bubble-is-trapped-at-point-b-cb-20-cm-in-a-glass-sphere-of","title":{"rendered":"An air bubble is trapped at point B CB = 20 cm in a glass sphere of…"},"content":{"rendered":"

An air bubble is trapped at point B (CB = 20 cm) in a glass sphere of radius 40 cm and refractive index 1.5 as shown in figure. Find the nature and position of the image of the bubble as seen by an observer at point P.<\/h2>\n

Ans.<\/h3>\n
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Given the parameters:<\/h3>\n
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    Radius of the glass sphere, \ufffd=40<\/span>R<\/span>=<\/span><\/span>40<\/span><\/span><\/span><\/span><\/span> cm<\/h3>\n<\/li>\n
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    Refractive index of glass, \ufffd=1.5<\/span>n<\/span>=<\/span><\/span>1.5<\/span><\/span><\/span><\/span><\/span><\/h3>\n<\/li>\n
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    Distance of the bubble from the center of the sphere, \ufffd=20<\/span>r<\/span>=<\/span><\/span>20<\/span><\/span><\/span><\/span><\/span> cm<\/h3>\n<\/li>\n<\/ul>\n

    We applied the formula for refraction at a spherical surface and used Snell’s law at the interfaces to find the image distance and object distance.<\/h3>\n

    The results were:<\/h3>\n
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      Image distance, \ufffd=60<\/span>v<\/span>=<\/span><\/span>60<\/span><\/span><\/span><\/span><\/span> cm<\/h3>\n<\/li>\n
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      Object distance, \ufffd=120<\/span>u<\/span>=<\/span><\/span>120<\/span><\/span><\/span><\/span><\/span> cm<\/h3>\n<\/li>\n<\/ul>\n

      Since \ufffd<\/span>u<\/span><\/span><\/span><\/span><\/span> is positive, indicating that the object (bubble) is on the same side as the observer (point P), the nature of the image is virtual, erect, and diminished.<\/h3>\n

      The position of the image is at a distance of 120 cm from the center of the sphere on the same side as the observer (point P).<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      An air bubble is trapped at point B (CB = 20 cm) in a glass sphere of radius 40 cm and refractive index 1.5 as shown in figure. Find the nature and position of the image of the bubble as seen by an observer at point P. Ans. Given the parameters: Radius of the glass […]<\/p>\n","protected":false},"author":21830,"featured_media":114041,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12119],"tags":[],"class_list":{"0":"post-149262","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-quiz"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/149262","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21830"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=149262"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/149262\/revisions"}],"predecessor-version":[{"id":149263,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/149262\/revisions\/149263"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/114041"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=149262"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=149262"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=149262"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}