{"id":336949,"date":"2023-01-06T09:35:22","date_gmt":"2023-01-06T04:05:22","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-student-obtained-a-sharp-image-of-the-grill-of-a-window-on-a-screen-using-a-convex-lens-for-better-results-the-teacher-suggests-focusing-of-a-distant-tree-instead-of-the-grill-in-what-direction-s\/"},"modified":"2025-06-26T18:22:12","modified_gmt":"2025-06-26T12:52:12","slug":"a-student-obtained-a-sharp-image-of-the-grill-of-a-window-on-a-screen-using-a-convex-lens-for-better-results-the-teacher-suggests-focusing-of-a-distant-tree-instead-of-the-grill-in-what-direction-s","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-student-obtained-a-sharp-image-of-the-grill-of-a-window-on\/","title":{"rendered":"A student obtained a sharp image of the grill of a window on a screen using a convex lens. For better results, the teacher suggests focusing of a distant tree instead of the grill. In what direction should the lens be moved for this purpose?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A student obtained a sharp image of the grill of a window on a screen using a convex lens. For better results, the teacher suggests focusing of a distant tree instead of the grill. In what direction should the lens be moved for this purpose?","custom_permalink":"question\/physics\/a-student-obtained-a-sharp-image-of-the-grill-of-a-window-on\/"},"categories":[],"acf":{"question":"

A student obtained a sharp image of the grill of a window on a screen using a convex lens. For better results, the teacher suggests focusing of a distant tree instead of the grill. In what direction should the lens be moved for this purpose?<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:10pt;line-height:115%;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:10pt;line-height:115%;font-size:12pt\">","options":[{"option":"Away from the screen<\/span>","correct":false},{"option":"Very far away from the screen<\/span>","correct":false},{"option":"Behind the screen<\/span>","correct":false},{"option":"Towards the screen<\/span> <\/span>","correct":true}],"solution":"A student obtained a sharp image of the grill of a window on a screen using a convex lens. For better results, the teacher suggests focusing of a distant tree instead of the grill. For this purpose the lens should move towards the screen.<\/span>
We know that, lens formula is<\/span>  <\/span>1<\/mn><\/mrow>v<\/mi><\/mrow><\/mfrac>-<\/mo>1<\/mn><\/mrow>u<\/mi><\/mrow><\/mfrac>=<\/mo>1<\/mn><\/mrow>f<\/mi><\/mrow><\/mfrac><\/math> <\/span>For lens and grill system, object and image distances are u<\/span>1<\/span> and v<\/span>1<\/span> and that for lens and tree system are u<\/span>2<\/span> and v<\/span>2<\/span> respectively. And u<\/span>1<\/span>, u<\/span>2<\/span> < 0<\/span>
The lens formula for lens and grill system is <\/span>1<\/mn><\/mrow>v<\/mi>1<\/mn><\/mrow><\/mfrac>-<\/mo>1<\/mn><\/mrow>u<\/mi>1<\/mn><\/mrow><\/mfrac>=<\/mo>1<\/mn><\/mrow>f<\/mi><\/mrow><\/mfrac><\/math> <\/span> <\/span>-------- (1)<\/span>
And the lens formula for lens and tree system is <\/span>1<\/mn><\/mrow>v<\/mi>2<\/mn><\/mrow><\/mfrac>-<\/mo>1<\/mn><\/mrow>u<\/mi>2<\/mn><\/mrow><\/mfrac>=<\/mo>1<\/mn><\/mrow>f<\/mi><\/mrow><\/mfrac><\/math>  <\/span>-------- (2)<\/span>
As the RHS of both the equations is same, so <\/span>1<\/mn><\/mrow>v<\/mi>1<\/mn><\/mrow><\/mfrac>-<\/mo>1<\/mn><\/mrow>u<\/mi>1<\/mn><\/mrow><\/mfrac><\/math> = <\/span>1<\/mn><\/mrow>v<\/mi>2<\/mn><\/mrow><\/mfrac>-<\/mo>1<\/mn><\/mrow>u<\/mi>2<\/mn><\/mrow><\/mfrac><\/math>
Or,<\/span>    <\/span>1<\/mn><\/mrow>v<\/mi>2<\/mn><\/mrow><\/mfrac>-<\/mo>1<\/mn><\/mrow>v<\/mi>1<\/mn><\/mrow><\/mfrac><\/math> = <\/span>1<\/mn><\/mrow>u<\/mi>1<\/mn><\/mrow><\/mfrac>-<\/mo>1<\/mn><\/mrow>u<\/mi>2<\/mn><\/mrow><\/mfrac><\/math>   <\/span>-------- (3)<\/span>
 <\/span>We know that the tree is far away from the grill, so <\/span>u<\/span>1<\/span> < u<\/span>2<\/span>  <\/span>    <\/span>or, <\/span>1<\/mn><\/mrow>u<\/mi>1<\/mn><\/mrow><\/mfrac> <\/mi>><\/mo> <\/mi>1<\/mn><\/mrow>u<\/mi>2<\/mn><\/mrow><\/mfrac><\/math>
So, from (3), we get<\/span>  <\/span>1<\/mn><\/mrow>v<\/mi>2<\/mn><\/mrow><\/mfrac>><\/mo>1<\/mn><\/mrow>v<\/mi>1<\/mn><\/mrow><\/mfrac><\/math>        <\/span>or, v<\/span>1<\/span> > v<\/span>2<\/span>
Hence, distance between lens and image gets reduced and hence lens is moved towards the screen. <\/span>
 <\/span>","subject":""},"yoast_head":"\nA student obtained a sharp image of the grill of a window on a screen using a convex lens. For better results, the teacher suggests focusing of a distant tree instead of the grill. In what direction should the lens be moved for this purpose? - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A student obtained a sharp image of the grill of a window on a screen using a convex lens. For better results, the teacher suggests focusing of a distant tree instead of the grill. 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