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<h2 class="wp-block-heading"><strong>Image Formation by Spherical Lenses</strong></h2>


<div class="wp-block-image">
<figure class="aligncenter size-full"><img loading="lazy" decoding="async" width="940" height="172" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2784.png" alt="" class="wp-image-7741" srcset="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2784.png 940w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2784-300x55.png 300w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2784-768x141.png 768w" sizes="auto, (max-width: 940px) 100vw, 940px" /></figure></div>


<h3 class="wp-block-heading"><img loading="lazy" decoding="async" width="74" height="61" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/Screenshot-2128.png" alt="introduction">Introduction</h3>



<p>By using the concept of predictable refracted rays, it becomes convenient to locate images formed by the spherical lenses at various positions of an object. Both the laws of refraction are obeyed in all the <a href="https://www.turito.com/learn/physics/ray-diagrams">ray diagrams</a>. The image of an object placed at a particular position in front of a spherical lens can be located by using the incident rays with predictable refracted rays. </p>



<h3 class="wp-block-heading"><img loading="lazy" decoding="async" width="65" height="60" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/Screenshot-2130.png" alt="biosphere">Explanation</h3>



<h3 class="wp-block-heading"><strong>Image formation by a convex lens:</strong>&nbsp;</h3>



<h3 class="wp-block-heading"><strong>Object at infinity:</strong>&nbsp;</h3>



<p>The light rays approaching the lens from an object located at an infinitely large distance from it appear to be parallel to each other. These parallel light rays, after refraction from the convex lens, pass through the focus F<sub>2</sub>.&nbsp;</p>



<p>The image is,&nbsp;</p>



<ol class="wp-block-list">
<li>Formed at F<sub>2</sub>&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>Point sized&nbsp;</li>
</ol>



<ol class="wp-block-list" start="3">
<li>Real and inverted&nbsp;</li>
</ol>


<div class="wp-block-image">
<figure class="aligncenter size-full is-resized"><img loading="lazy" decoding="async" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2773.png" alt="Object at infinity – Convex lens Image Formation" class="wp-image-7717" width="336" height="196" srcset="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2773.png 562w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2773-300x175.png 300w" sizes="auto, (max-width: 336px) 100vw, 336px" /></figure></div>


<p class="has-text-align-center"></p>



<h3 class="wp-block-heading"><strong>Object located behind 2F</strong><strong><sub>1</sub></strong><strong>:</strong>&nbsp;</h3>



<p>Two rays are chosen to arise from the head of the extended object.&nbsp;</p><div class="fillWidthInMob"><a loading='lazy' class="showAdInAllRes"  data-toggle="modal" data-target=#homeLeadForm data-heading="Get Expert Guidance" href="#"><img class="img-fluid" alt="parallel" src=https://a.storyblok.com/f/128066/1100x230/00b28b4876/11-applying-for-collages_leaderboard-1100x230.jpg /></a></div>



<ol class="wp-block-list">
<li>The first one is parallel to the principal axis, which passes through F<sub>2 </sub>after refraction.&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>The second is through the optic center, which goes along the same path after refraction.&nbsp;</li>
</ol>



<p>The image is,&nbsp;</p>



<ol class="wp-block-list">
<li>Formed between the 2F<sub>2</sub> and the focus (F<sub>2</sub>),&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>Diminished&nbsp;&nbsp;</li>
</ol>



<ol class="wp-block-list" start="3">
<li>Real and inverted&nbsp;</li>
</ol>


<div class="wp-block-image">
<figure class="aligncenter size-full is-resized"><img loading="lazy" decoding="async" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2774.png" alt="Object located behind 2F1 – Convex lens " class="wp-image-7719" width="411" height="233" srcset="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2774.png 849w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2774-300x171.png 300w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2774-768x438.png 768w" sizes="auto, (max-width: 411px) 100vw, 411px" /></figure></div>


<p class="has-text-align-center"></p>



<h3 class="wp-block-heading"><strong>Object at 2F</strong><strong><sub>1</sub></strong><strong>:</strong>&nbsp;</h3>



<p>Two rays are chosen to arise from the head of the extended object.&nbsp;</p>



<ol class="wp-block-list">
<li>The first one is parallel to the principal axis, which passes through F<sub>2 </sub>after refraction.&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>The second is through the optic center, which goes undeviated after refraction.&nbsp;</li>
</ol>



<p>The image is,&nbsp;</p>



<ol class="wp-block-list">
<li>Formed at 2F<sub>2</sub>&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>Same size as the object&nbsp;&nbsp;</li>
</ol>



<ol class="wp-block-list" start="3">
<li>Real and inverted&nbsp;</li>
</ol>


<div class="wp-block-image">
<figure class="aligncenter size-full is-resized"><img loading="lazy" decoding="async" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2774.png" alt="Object at 2F2 – Convex lens " class="wp-image-7720" width="404" height="229" srcset="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2774.png 849w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2774-300x171.png 300w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2774-768x438.png 768w" sizes="auto, (max-width: 404px) 100vw, 404px" /></figure></div>


<p class="has-text-align-center"></p><div class="fillWidthInMob"><a loading='lazy' class="showAdInAllRes"  data-toggle="modal" data-target=#homeLeadForm data-heading="Get Expert Guidance" href="#"><img class="img-fluid" alt="parallel" src=https://a.storyblok.com/f/128066/1100x230/00b28b4876/11-applying-for-collages_leaderboard-1100x230.jpg /></a></div>



<h3 class="wp-block-heading"><strong>Object located between </strong><strong>2F</strong><strong><sub>1 </sub></strong><strong>and </strong><strong>F</strong><strong><sub>1</sub></strong><strong>:</strong>&nbsp;</h3>



<p>Two rays are chosen to arise from the head of the extended object.&nbsp;</p>



<ol class="wp-block-list">
<li>The first one is parallel to the principal axis, which passes through F<sub>2 </sub>after refraction.&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>The second is through the optic center, which goes undeviated after refraction.&nbsp;</li>
</ol>



<p>The image is,&nbsp;</p>



<ol class="wp-block-list">
<li>Formed behind 2F<sub>2</sub>&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>Magnified&nbsp;</li>
</ol>



<ol class="wp-block-list" start="3">
<li>Real and inverted&nbsp;</li>
</ol>


<div class="wp-block-image">
<figure class="aligncenter size-full is-resized"><img loading="lazy" decoding="async" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2772.png" alt="Object located between 2F1 and F1 – Convex lens " class="wp-image-7716" width="411" height="251" srcset="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2772.png 329w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2772-300x183.png 300w" sizes="auto, (max-width: 411px) 100vw, 411px" /></figure></div>


<p class="has-text-align-center"></p>



<h3 class="wp-block-heading"><strong>Object located at </strong><strong>F</strong><strong><sub>1</sub></strong><strong>:</strong>&nbsp;</h3>



<p>Two rays are chosen to arise from the head of the extended object.&nbsp;</p>



<ol class="wp-block-list">
<li>The first one is parallel to the principal axis, which passes through F<sub>2 </sub>after refraction.&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>The second is through the optic center, which goes undeviated after refraction.&nbsp;</li>
</ol>



<p>The two refracted rays turn out to be parallel to each other, which are said to meet at infinity.&nbsp;</p>



<p>The image is,&nbsp;</p>



<ol class="wp-block-list">
<li>Formed at infinity (far away)&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>Highly magnified&nbsp;</li>
</ol>



<ol class="wp-block-list" start="3">
<li>Real and inverted&nbsp;</li>
</ol>


<div class="wp-block-image">
<figure class="aligncenter size-full is-resized"><img loading="lazy" decoding="async" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2775.png" alt="Object located at F1 – Convex lens " class="wp-image-7721" width="523" height="327" srcset="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2775.png 731w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2775-300x188.png 300w" sizes="auto, (max-width: 523px) 100vw, 523px" /></figure></div>


<p class="has-text-align-center"></p>



<h3 class="wp-block-heading"><strong>Object located between F</strong><strong><sub>1 </sub></strong><strong>and the optic center:</strong>&nbsp;</h3>



<p>Two rays are chosen to arise from the head of the extended object.&nbsp;</p>



<ol class="wp-block-list">
<li>The first one is parallel to the principal axis, which passes through F<sub>2 </sub>after refraction.&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>The second is through the optic center, which goes undeviated after refraction.&nbsp;</li>
</ol>



<p>The two refracted rays appear to diverge from a point at the same side of the lens as the object, where the image of the object is formed.&nbsp;</p>



<p>The image is,&nbsp;</p>



<ol class="wp-block-list">
<li>Formed at the same side as the object&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>Magnified&nbsp;</li>
</ol>



<ol class="wp-block-list" start="3">
<li>Virtual and upright&nbsp;</li>
</ol>


<div class="wp-block-image">
<figure class="aligncenter size-full is-resized"><img loading="lazy" decoding="async" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2777.png" alt="Object located between F1 and the optic center – Convex lens " class="wp-image-7723" width="503" height="290" srcset="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2777.png 945w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2777-300x173.png 300w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2777-768x444.png 768w" sizes="auto, (max-width: 503px) 100vw, 503px" /></figure></div>


<p class="has-text-align-center"></p>



<h3 class="wp-block-heading"><strong>Image formation by a concave lens:</strong>&nbsp;</h3>



<h3 class="wp-block-heading"><strong>Object at infinity:</strong>&nbsp;</h3>



<p>The light rays approaching the lens from an object located at an infinitely large distance from it appear to be parallel to each other.&nbsp;</p>



<p>These parallel light rays after refraction from the concave lens appear to diverge from the focus F<sub>1</sub>.&nbsp;</p>



<p>The image is,&nbsp;</p>



<ol class="wp-block-list">
<li>Formed at F<sub>1</sub>&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>Point sized&nbsp;</li>
</ol>



<ol class="wp-block-list" start="3">
<li>Virtual and upright&nbsp;</li>
</ol>


<div class="wp-block-image">
<figure class="aligncenter size-large is-resized"><img loading="lazy" decoding="async" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2776-1024x467.png" alt="Object at infinity – Concave lens " class="wp-image-7722" width="441" height="201" srcset="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2776-1024x467.png 1024w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2776-300x137.png 300w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2776-768x350.png 768w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2776.png 1062w" sizes="auto, (max-width: 441px) 100vw, 441px" /></figure></div>


<p class="has-text-align-center"></p>



<p>Object located at a finite distance from the concave lens:&nbsp;</p>



<p>Two rays are chosen to arise from the head of the extended object.&nbsp;</p>



<ol class="wp-block-list">
<li>The first one incidents parallel to the principal axis and appears to diverge from the focus F<sub>1 </sub>after reflection.&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>The second one is through the optic center, which goes undeviated after refraction.&nbsp;</li>
</ol>



<p>The refracted rays seem to diverge from a point at the same side of the lens as the object, where the image of the object is formed.&nbsp;&nbsp;</p>



<p>The image is,&nbsp;</p>



<ol class="wp-block-list">
<li>Formed at the same side of the lens as the object&nbsp;</li>
</ol>



<ol class="wp-block-list" start="2">
<li>Diminished&nbsp;</li>
</ol>



<ol class="wp-block-list" start="3">
<li>Virtual and upright&nbsp;</li>
</ol>


<div class="wp-block-image">
<figure class="aligncenter size-full is-resized"><img loading="lazy" decoding="async" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2778.png" alt="Object located at a finite distance from a concave lens " class="wp-image-7724" width="450" height="274" srcset="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2778.png 1009w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2778-300x183.png 300w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2778-768x469.png 768w" sizes="auto, (max-width: 450px) 100vw, 450px" /></figure></div>


<p class="has-text-align-center"></p>


<div class="wp-block-image">
<figure class="alignleft size-full"><img loading="lazy" decoding="async" width="683" height="465" src="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2779.png" alt="summary image formation" class="wp-image-7725" srcset="https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2779.png 683w, https://www.turito.com/learn-internal/wp-content/uploads/2022/08/image-2779-300x204.png 300w" sizes="auto, (max-width: 683px) 100vw, 683px" /></figure></div>