{"id":340622,"date":"2023-01-06T11:43:31","date_gmt":"2023-01-06T06:13:31","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/an-object-is-placed-at-a-distance-of-30-cm-in-front-of-a-concave-mirror-of-focal-length-10-cm-calculate-the-distance-of-the-image-from-the-mirror\/"},"modified":"2025-06-26T18:13:39","modified_gmt":"2025-06-26T12:43:39","slug":"an-object-is-placed-at-a-distance-of-30-cm-in-front-of-a-concave-mirror-of-focal-length-10-cm-calculate-the-distance-of-the-image-from-the-mirror","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/an-object-is-placed-at-a-distance-of-30cmin-front-of-a-con\/","title":{"rendered":"An object is placed at a distance of 30\u00a0cm\u00a0in front of a concave mirror of focal length 10\u00a0cm. Calculate the distance of the image from the mirror."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"An object is placed at a distance of 30\u00a0cm\u00a0in front of a concave mirror of focal length 10\u00a0cm. Calculate the distance of the image from the mirror.","custom_permalink":"question\/physics\/an-object-is-placed-at-a-distance-of-30cmin-front-of-a-con\/"},"categories":[],"acf":{"question":"<p style=\"margin-top:12pt; margin-bottom:12pt; line-height:normal; font-size:12pt\"><span>An object is placed at a distance of <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>30<\/mn><mi mathvariant=\"italic\">&nbsp;cm&nbsp;<\/mi><\/math><span>in front of a concave mirror of focal length <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>10<\/mn><mi mathvariant=\"italic\">&nbsp;cm<\/mi><\/math><span>. Calculate the distance of the image from the mirror.<\/span><\/p><br><pstyle=\"margin-top:12pt;margin-bottom:12pt;line-height:normal;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><p><\/p><pstyle=\"margin-top:0pt;margin-bottom:10pt;line-height:normal;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><p><\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:10pt;line-height:normal;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:12pt;margin-bottom:12pt;line-height:normal;font-size:12pt\">","options":[{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>15<\/mn><mi mathvariant=\"italic\">&nbsp;cm<\/mi><\/math>","correct":true},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>20<\/mn><mi mathvariant=\"italic\">&nbsp;cm<\/mi><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>10<\/mn><mi mathvariant=\"italic\">&nbsp;cm<\/mi><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>17<\/mn><mi mathvariant=\"italic\">&nbsp;cm<\/mi><\/math><span>&nbsp;<\/span>","correct":false}],"solution":"<span>The real image is formed at a distance of <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>15<\/mn><mi mathvariant=\"italic\">&nbsp;cm&nbsp;<\/mi><\/math><span>in front of the mirror.<\/span><br><span>The focal length of a concave mirror, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>f<\/mi><mo>=<\/mo><mo>-<\/mo><mn>10<\/mn><mi mathvariant=\"italic\">&nbsp;cm<\/mi><\/math><span>and distance of object from the mirror,<\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>u<\/mi><mo>=<\/mo><mo>-<\/mo><mn>30<\/mn><mi mathvariant=\"italic\">&nbsp;cm<\/mi><\/math><br><span>As per mirror formula, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mn>1<\/mn><\/mrow><mrow><mi mathvariant=\"italic\">v&nbsp;<\/mi><\/mrow><\/mfrac><mo>+<\/mo><mfrac><mrow><mn>1<\/mn><\/mrow><mrow><mi>u<\/mi><\/mrow><\/mfrac><mo>=<\/mo><mfrac><mrow><mn>1<\/mn><\/mrow><mrow><mi>f<\/mi><\/mrow><\/mfrac><\/math><span> we have<\/span><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mn>1<\/mn><\/mrow><mrow><mi mathvariant=\"italic\">v&nbsp;<\/mi><\/mrow><\/mfrac><mo>+<\/mo><mfrac><mrow><mn>1<\/mn><\/mrow><mrow><mi>u<\/mi><\/mrow><\/mfrac><mo>=<\/mo><mfrac><mrow><mn>1<\/mn><\/mrow><mrow><mi>f<\/mi><\/mrow><\/mfrac><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mn>1<\/mn><\/mrow><mrow><mi mathvariant=\"italic\">v&nbsp;<\/mi><\/mrow><\/mfrac><mo>=<\/mo><mfrac><mrow><mn>1<\/mn><\/mrow><mrow><mi>f<\/mi><\/mrow><\/mfrac><mo>-<\/mo><mfrac><mrow><mn>1<\/mn><\/mrow><mrow><mi>u<\/mi><\/mrow><\/mfrac><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><\/math><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mo>-<\/mo><mn>1<\/mn><\/mrow><mrow><mn>10<\/mn><\/mrow><\/mfrac><mo>+<\/mo><mfrac><mrow><mn>1<\/mn><\/mrow><mrow><mn>30<\/mn><\/mrow><\/mfrac><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><\/math><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mrow><mo>-<\/mo><mn>3<\/mn><mo>+<\/mo><mn>1<\/mn><\/mrow><mrow><mn>30<\/mn><\/mrow><\/mfrac><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><\/math><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mfrac><mrow><mo>-<\/mo><mn>2<\/mn><\/mrow><mrow><mn>30<\/mn><\/mrow><\/mfrac><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><\/math><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mfrac><mrow><mo>-<\/mo><mn>1<\/mn><\/mrow><mrow><mn>15<\/mn><\/mrow><\/mfrac><\/math><br><span>&nbsp;<\/span>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>An object is placed at a distance of 30\u00a0cm\u00a0in front of a concave mirror of focal length 10\u00a0cm. 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