{"id":335071,"date":"2023-01-06T08:36:49","date_gmt":"2023-01-06T03:06:49","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/an-object-is-placed-20-cm-from-the-concave-mirror-of-focal-length-10-cm-then-an-image-is-formed\/"},"modified":"2025-06-26T18:12:42","modified_gmt":"2025-06-26T12:42:42","slug":"an-object-is-placed-20-cm-from-the-concave-mirror-of-focal-length-10-cm-then-an-image-is-formed","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/an-object-is-placed-20cm-from-the-concave-mirror-of-focal-l\/","title":{"rendered":"An object is placed 20\u00a0cm from the concave mirror of focal length, 10\u00a0cm, then an image is formed?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"An object is placed 20\u00a0cm from the concave mirror of focal length, 10\u00a0cm, then an image is formed?","custom_permalink":"question\/physics\/an-object-is-placed-20cm-from-the-concave-mirror-of-focal-l\/"},"categories":[],"acf":{"question":"

An object is placed <\/span>20<\/mn> cm<\/mi><\/math> from the concave mirror of focal length, <\/span>10<\/mn> cm<\/mi><\/math>, then an image is formed?<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:8pt;text-align:justify;line-height:normal;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:8pt;text-align:justify;line-height:normal;font-size:12pt\">","options":[{"option":"Behind the mirror.<\/span>","correct":false},{"option":"Between the mirror and focus.<\/span>","correct":false},{"option":"At focus.<\/span>","correct":false},{"option":"Centre of curvature of the mirror.<\/span> <\/span>","correct":true}],"solution":"The image is formed at the centre of the curvature of the mirror.<\/span>
Given that,<\/span>
The object distance, <\/span>u<\/mi>=<\/mo>-<\/mo>20<\/mn><\/math>, focal length, <\/span>f<\/mi>=<\/mo>-<\/mo>10<\/mn><\/math>.<\/span>
The mirror formula is equal to,<\/span>
1<\/mn><\/mrow>f<\/mi><\/mrow><\/mfrac>=<\/mo>1<\/mn><\/mrow>v<\/mi><\/mrow><\/mfrac>+<\/mo>1<\/mn><\/mrow>u<\/mi><\/mrow><\/mfrac><\/math>
Here, f = focal length, v = image distance and u = object distance.<\/span>
1<\/mn><\/mrow>-<\/mo>10<\/mn><\/mrow><\/mfrac>=<\/mo>1<\/mn><\/mrow>v<\/mi><\/mrow><\/mfrac>+<\/mo>1<\/mn><\/mrow>-<\/mo>20<\/mn><\/mrow><\/mfrac><\/math>
-<\/mo>1<\/mn><\/mrow>10<\/mn><\/mrow><\/mfrac>=<\/mo>1<\/mn><\/mrow>v<\/mi><\/mrow><\/mfrac>-<\/mo>1<\/mn><\/mrow>20<\/mn><\/mrow><\/mfrac><\/math>
1<\/mn><\/mrow>v<\/mi><\/mrow><\/mfrac>=<\/mo>+<\/mo>1<\/mn><\/mrow>20<\/mn><\/mrow><\/mfrac>-<\/mo>1<\/mn><\/mrow>10<\/mn><\/mrow><\/mfrac><\/math>
1<\/mn><\/mrow>v<\/mi><\/mrow><\/mfrac>=<\/mo>1<\/mn>-<\/mo>2<\/mn><\/mrow>20<\/mn><\/mrow><\/mfrac><\/math>
1<\/mn><\/mrow>v<\/mi><\/mrow><\/mfrac>=<\/mo> <\/mi>-<\/mo>1<\/mn><\/mrow>20<\/mn><\/mrow><\/mfrac><\/math>
The image distance is equal to, <\/span>v<\/mi>=<\/mo>-<\/mo>20<\/mn><\/math>, the image distance is equal to <\/span>20<\/mn> cm<\/mi><\/math>. The image is formed at the centre of the curvature of the mirror.<\/span>
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