Class 10th Science Lab Manual CBSE Solution
Lab Experiment 14aLab Experiment 14bViva Questions- What is the difference between concave and convex lens?
- What happens to the size of the image when the object lies in moved from infinity towards…
- What would be the nature of image when the object lies in between the infinity and “F”?…
- What will happen when the experiment is performed with scratches on the lens?…
- Is virtual image erect or inverted ?
- Where an object should be placed in order to use a convex lens as a magnifying lens?…
- What factors determine the size of the image formed?
- Why you draw the equiconvex lens?
- Why we draw only two rays in a ray diagram?
- What is the quantity which remains constant when light undergo refraction? Why?…
- What is the nature of an image formed by a thin convex lens for a distant object?…
- How will you distinguish between a convex lens and a concave lens by holding in hand and…
- Why would we require a calm atmosphere to perform this experiment?…
- Why it is preferred to perform this experiment in the dark or in the light?…
- Where should the object be placed in front of a convex lens to get inverted, magnified…
- What is the difference between concave and convex lens?
- What happens to the size of the image when the object lies in moved from infinity towards…
- What would be the nature of image when the object lies in between the infinity and “F”?…
- What will happen when the experiment is performed with scratches on the lens?…
- Is virtual image erect or inverted ?
- Where an object should be placed in order to use a convex lens as a magnifying lens?…
- What factors determine the size of the image formed?
- Why you draw the equiconvex lens?
- Why we draw only two rays in a ray diagram?
- What is the quantity which remains constant when light undergo refraction? Why?…
- What is the nature of an image formed by a thin convex lens for a distant object?…
- How will you distinguish between a convex lens and a concave lens by holding in hand and…
- Why would we require a calm atmosphere to perform this experiment?…
- Why it is preferred to perform this experiment in the dark or in the light?…
- Where should the object be placed in front of a convex lens to get inverted, magnified…
Lab Experiment 14a
Question 1.AIM
Finding the Image distance for varying object distance in case of a convex lens and drawing corresponding ray diagrams to show the nature of Image formed by a convex lens.
Answer:MATERIALS REQUIRED
A thin convex lens, a lens holder a piece of a semi-transparent sheet act as screen fixed to a stand with the centred mark; a small candle end stand for candle with centred mark and a meter scale (or a ruler)
THEORY
The light ray when refracted through a thin convex lens follow the law of refractions.
The formation of an image by lenses can be described using the new cartesian sign convention.
The new cartesian sign convention can be summarised as below:
(i) The object is always placed to the left of the lens.
(ii) All distances parallel to the principal axis are measured from the optical centre of the lens.
(iii) All distances measured to the right of the origin are taken as positive while those measures to the left of original taken as negative.
(iv) Distance measured perpendicular to and above the principal axis are taken as positive.
(v) Distances measured perpendicular to and below the principal axis are taken as negative.
The position, nature and size of the image of an object formed by s thin convex lens depend on the distance between the object and the optical centre and size of the object.
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)
The nature, position and size of the image can be noted, and distance is measured from the optical centre of the convex lens.
PROCEDURE
1. Place the semi-transparent paper screen in a vertical position fitted to a stand on the right-hand side of the convex lens.
2. Place a thin convex lens vertically on the lens holder.
3. Place the candle in a centred mark stand on the optical bench.
4. Place the lighted candle stand at a distance beyond R(2F1) vertically in the front of a thin convex lens.
5. Adjust the height of the centre of the convex lens to be equal to the height of the flame of the candle as shown below.
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)
6. Obtain a sharp image of the candle flame on the screen
7. Using measuring scale, record the position of lens and screen in the observation table.
8. Repeat the experiment by placing the lighted candle at a distance as given below:
(i) equal to 2F
(ii) less than 2F but more than F.
9. Find the distance between the optical centre of the lens and candle flame (object) to be x and corresponding image distance between the optical centre O of the lens and the screen be y.
10. Draw corresponding ray diagrams in each case to show the nature of the image formed by a convex lens.
OBSERVATIONS AND CALCULATIONS
The approximate focal length of the thin convex lens, F = 10 cm
The height of the candle flame, h = 2 cm.
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)
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)
RESULT
When the object is moved from infinity towards the optical centre of the convex lens.
(a) the image distance increases gradually.
(b) the size of the image also tosses gradually.
PRECAUTIONS
1. The base of the candle stand, convex lens and the screen must be parallel to the measuring scale.
2. The lens should be held vertically inside the lens holder.
3. Flame of the candle must be uniform and continuous throughout the experiment.
AIM
Finding the Image distance for varying object distance in case of a convex lens and drawing corresponding ray diagrams to show the nature of Image formed by a convex lens.
Answer:
MATERIALS REQUIRED
A thin convex lens, a lens holder a piece of a semi-transparent sheet act as screen fixed to a stand with the centred mark; a small candle end stand for candle with centred mark and a meter scale (or a ruler)
THEORY
The light ray when refracted through a thin convex lens follow the law of refractions.
The formation of an image by lenses can be described using the new cartesian sign convention.
The new cartesian sign convention can be summarised as below:
(i) The object is always placed to the left of the lens.
(ii) All distances parallel to the principal axis are measured from the optical centre of the lens.
(iii) All distances measured to the right of the origin are taken as positive while those measures to the left of original taken as negative.
(iv) Distance measured perpendicular to and above the principal axis are taken as positive.
(v) Distances measured perpendicular to and below the principal axis are taken as negative.
The position, nature and size of the image of an object formed by s thin convex lens depend on the distance between the object and the optical centre and size of the object.
The nature, position and size of the image can be noted, and distance is measured from the optical centre of the convex lens.
PROCEDURE
1. Place the semi-transparent paper screen in a vertical position fitted to a stand on the right-hand side of the convex lens.
2. Place a thin convex lens vertically on the lens holder.
3. Place the candle in a centred mark stand on the optical bench.
4. Place the lighted candle stand at a distance beyond R(2F1) vertically in the front of a thin convex lens.
5. Adjust the height of the centre of the convex lens to be equal to the height of the flame of the candle as shown below.
6. Obtain a sharp image of the candle flame on the screen
7. Using measuring scale, record the position of lens and screen in the observation table.
8. Repeat the experiment by placing the lighted candle at a distance as given below:
(i) equal to 2F
(ii) less than 2F but more than F.
9. Find the distance between the optical centre of the lens and candle flame (object) to be x and corresponding image distance between the optical centre O of the lens and the screen be y.
10. Draw corresponding ray diagrams in each case to show the nature of the image formed by a convex lens.
OBSERVATIONS AND CALCULATIONS
The approximate focal length of the thin convex lens, F = 10 cm
The height of the candle flame, h = 2 cm.
RESULT
When the object is moved from infinity towards the optical centre of the convex lens.
(a) the image distance increases gradually.
(b) the size of the image also tosses gradually.
PRECAUTIONS
1. The base of the candle stand, convex lens and the screen must be parallel to the measuring scale.
2. The lens should be held vertically inside the lens holder.
3. Flame of the candle must be uniform and continuous throughout the experiment.
Lab Experiment 14b
Question 1.AIM
To draw the images of an object formed by a convex lens when placed at various positions.
Answer:MATERIALS REQUIRED
A drawing board, sheets of white paper, measuring scale, protractor and drawing pins or adhesive tape.
THEORY
The light ray when refracted through a convex lens obey the laws of refraction. The formation of images by a convex lens can be studied by drawing ray diagrams. using the new cartesian sign convention as given in the figure.
The new cartesian sign convention can be summarised as below:
(i) The object is always placed to the left of the lens.
(ii) All distances parallel to the principal axis are measured from the optical centre of the lens.
(iii) All distances measured to the right of the origin are taken as positive while those measured to the left of original taken as negative.
(iv) Distance measured perpendicular to and above the principal axis are taken as positive.
(v) Distances measured perpendicular to and below the principal axis are taken as negative.
Daw ray diagrams are forming images by a convex lens for various positions of the object.
The position of the object may be
(a) beyond 2F1
![](data:image/png;base64,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)
(b) at 2F1
![](data:image/png;base64,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)
(c) between F1 and 2F1,
![](data:image/png;base64,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)
(d) at F1,
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCAB+ALwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooAK85+KuuasGsPD/h1d2otLDeSnKDYomRIfvjB3TFOh42cjBNejV5kf+Jj4o8TauP39vFq+lafbTP1jMdxEZo1zyq7yCexPIzQB3XhvXIPEvh6y1i2Xal1FuKZJ2MOGXJAzhgRnHOM1p1xnw9/0G68TaFJ+6ex1eSWG2H3ILeUB4guPlCn5jtHTnIGa7OgAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8p8G3UupeCdQ1aS1e2XUvFcF1GjZI2tdW/Q4G4AgjPqDXpOs6j/ZGh3+p+V532O2kn8vdt37FLYzg4zjrivP8AwZ/yRrQf+wlb/wDpxWgDQ0G6ltfjP4p0+S1dVvrS2uo5myAVjRU4GOQS5Gc8FCPp3tef32o/Yvj1ptv5W/7fohg3bsbMSSSZ6c/6vGOOue1egUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFc54j13ULLxBoWh6cLaOXVmnJuLiNpVjWKPdjYrLkkkc7uMdDnjktK+Lssj2Fzq1gkOnzaULq5kt1LNDJ9qNvv5Yfu8gHaAzDd3wTQB6hRXJa146tfD/AIgvrTUlmitbLTReHFuGMuZFQFXEndm27WQcgndimRfEzRbm0t5LO1vr25uJ54Es7aNHl3QrvkIIbYw2lSNrHduGMnOADsKwz4x0Q6hdWENxcXVxZsEuFtLOa4ETHsTGhAPBGM9QR1BqjD4rvZ/iJH4fTT3FhJpQvRM6bJAS2NxDMCF/h2ld4btjmotF8MaMNU1/7Lp1tYzQagi29xawpHJB/o0DfIQOBlmJX7p3EEEEg3Dlv7wGv/wlGn/8++rf+Ce7/wDjdH/CUaf/AM++rf8Agnu//jdH9o3Wj/JrA8y1HCahGpPHrMqriPjq4+T5WJ8vIWtirkoLo/v/AOAI82174gW9/F4t8PSWd2vlabI1tKLSUEq0IyJEK7kwzfeIC4POOC1LwrqENl8K9DsLuK6t5UvraVpJrSVIQhvVkDeaV2YKkEHdzkDrxXQfEuKPR/AXiPUbCNIbu/WJLmYKC0ilkiIOc8bCQPTJI5Oafb/8kx8Nf9wj/wBHQUVJUn8Ka079fuHHfUyNehlX4/8AhmcxOIn0+RFkKnazBZyQD3IDLke49a9KrzDx6v8AYPjbwU2lKITJdyRxwjCxIWMSMAMHaHDEHA4+8BnO70azvorzeqrJFLHjzIZUKumf5jIIDDKnBwTiudPozWVPTmi7r+t/6t5lmiiiqMgooooAKKKKACiiigAooooAKKz7/W7TTZ1hnhvnZl3A2+nzzrjJH3o0YA8dM5/Oqv8Awlenf8+2r/8Agmu//jVAFrVNC07WXtpL2FzLasWgmhmeGWIkYba6EMARwRnB4z0FZj/D7wq5ts6QgW1gW3jjEsgQxq/mBXQNtcb/AJjuByeTmqXiT4laV4c06O8ksdUlDzpFtewmgAB5J3SqoJCgkDOScdBkjW/4SvTv+fbV/wDwTXf/AMaoApXHguDVfEF9qmuSw30V1Y/YEtUgMaLD5hk+YlmLODtww24xkDOMXb/wjouqWNvZ31vNcpbb/KkkupTKA4Icebu3lWBIIJwRgY4FH/CV6d/z7av/AOCa7/8AjVH/AAlenf8APtq//gmu/wD41QBaGg6Wmo2moRWaQ3NnAbeF4SYwIj/yzIUgMoxkKQQDyMGquhf8hfxH/wBhJP8A0kt6P+Er07/n21f/AME13/8AGq5zwz450q61zxNGltqmV1BW+XTppDgQpFyqKxQ7oWOGAOCO+QADva57UYovCmnzalYT29nYW67pLGYiO2GepQqhZGJxwoKsc/LufdU//CV6d/z7av8A+Ca7/wDjVQ3ev6Jf2z2t5pupXMD43xTaFdOrYORkGLB5ANXCVnrt1Eebar43n8Z/C3xa91F5Ulvc27RxqBtjhaWMIu7qxyjkkjvxxwO2t/8AkmPhr/uEf+joKwPiXc+H5Ph3d29lo80D22z7KX0WaBIN0qF9rNGFTdznkZ+tNtPFPkeA9Htb+zuUt7ddNkW8jsbgRhUmgJDbkxnHQqzB9pPykqp0q8k5OVNWXYEnsT/FL/kd/AP/AGEj/wCjIK9EvLCC92NIu2aLJhnQDzIie6nt0GR0I4II4ryv4j63aXnjHwRNFDfKtvqBZxLp88TEeZCflVkBc8HhQT09RXof/CV6d/z7av8A+Ca7/wDjVc7Vy4ycXdFj7bPpvy6l89uOFvEBP4yqBhOP4vu8EnZkCtKsX/hK9O/59tX/APBNd/8Axqs3+2rPT/m0i21NIx/y5Po12kPuVIhJQ9DxlTz8uWLUtUae5U8n+D/y/L0Osorj9G+I+navdX8B0zVbc2coTixknY5HIYRK3lsGDDa2DjB7kDW/4SvTv+fbV/8AwTXf/wAapp3M5RcXZm1RWL/wlenf8+2r/wDgmu//AI1R/wAJXp3/AD7av/4Jrv8A+NUyTaorj/EnxK0rw5p0d5JY6pKHnSLa9hNAADyTulVQSFBIGck46DJGt/wlenf8+2r/APgmu/8A41QBtUVkQ+JbCeeOFLfVA0jBQX0m6RQSccs0YAHuTgVr0AFRzSNFBJIkLzMilhGhAZyB0G4gZPTkge9SVBe/avsNx9h8n7X5TeR5+fL34+XdjnbnGcc4oA4PxD8Q73RY57fWPC9s1zb2kGom3F/5iqhmCDLeVjzFk2EYBHUhsgA9ToOs3+q3WoQ3djZwpZSrCs1pqC3KSPjLqflVkZeAQwB5rj7/AMEeJL7wjqOjvb6W2oaq0cl7qkuoSO8zq6sPl8gYUBdqoDhR+Oe30HQ7DQbF4bGwhsftMpuJ4YJGeNZWADbc4+XgAABRgdBQBp0UUUARzGVYJDAiSShSY0dyqs2OASAcDPfB+hrjPCXjS68RT2MsOhWNtFqiy3E7RakrTxKhMYkeIopYFkCBgTgAZxjFdnMZVgkMCJJKFJjR3KqzY4BIBwM98H6GuQ+HvgSPwpYQyXtpZjV44nt3u7WV2E0TPvG4EKNwOBnBOFHOOAAdnRRRQBxnxd/5Jjq//bH/ANHR0W//ACTHw1/3CP8A0dBR8Xf+SY6v/wBsf/R0dFv/AMkx8Nf9wj/0dBQBzvxHsoNP8Y+CEs4QitqBMMAOyJHEkPQAfKG4zj0yBktu9Ms76K83qqyRSx48yGVCrpn+YyCAwypwcE4rzv4pf8jv4B/7CR/9GQV6JeWEF7saRds0WTDOgHmRE91PboMjoRwQRxU2tsbc6n/E37/59/z9dizUcxlWCQwIkkoUmNHcqrNjgEgHAz3wfoao/bZ9N+XUvntxwt4gJ/GVQMJx/F93gk7MgVemMqwSGBEklCkxo7lVZscAkA4Ge+D9DTTuRODj6dzhPDviRvF0+nXCaBY2hv1muTcwaihu7UIfLEhQxqSGaNUyNwIADccV1v22fTfl1L57ccLeICfxlUDCcfxfd4JOzIFc98PfAkfhSwhkvbSzGrxxPbvd2srsJomfeNwIUbgcDOCcKOccDs6TXVFRqacsldf1t/VvIKKzf7Ol0/5tI8tI/wDnychIfcqQpKHoeMqeflyxarNnfRXm9VWSKWPHmQyoVdM/zGQQGGVODgnFCfRhKnpzRd1/W/8AVvM47XvG1/pPlRar4XhX7TFc3NrDLeq7f6NiTMgCFUbaNy7WfDBRx1Gn4Y8U3/iC6RZdMs4LdrGK6aWDUlneIyAMkcke1WVipLZxjjgmsb/hGPFU9jrDX9rpF1q2r20lq98dQlCwRMCFjjj8g7UXOcbsseSScY3fBfhO18L6UgFlbW+oTQRR3r20jMkzRqVVxkDBIyThRyxznqaMjo6KKKACiiigAooooAKKKKACiiigAooooA5j4kaf/afw81u383ytlsZ923dnyiJMde+zGe2c81n2U0U/wu8NvDKkihtKQsjAgMtxArDjuCCCOxBrd8Z/8iRr3/YNuP8A0W1cZ4M/5I1oP/YSt/8A04rQBa8d2sWq/ErwPYC6SOWGea6ZRhmCpskGRngMYmUH2PXGK9DrzLXf+ThvDn/YNf8A9BuK9NoAKzf7Ol0/5tI8tI/+fJyEh9ypCkoeh4yp5+XLFq0qKTVy4TcfTsVrO+ivN6qskUsePMhlQq6Z/mMggMMqcHBOKs1WvLCC92NIu2aLJhnQDzIie6nt0GR0I4II4qt9tn035dS+e3HC3iAn8ZVAwnH8X3eCTsyBSvbcvkU/4e/b/Lv+fruaVVrywgvdjSLtmiyYZ0A8yInup7dBkdCOCCOKs0U2rmcZOLujN+2z6b8upfPbjhbxAT+MqgYTj+L7vBJ2ZArSorN/s6XT/m0jy0j/AOfJyEh9ypCkoeh4yp5+XLFqWqNPcqeT/B/5fl6GlRVazvorzeqrJFLHjzIZUKumf5jIIDDKnBwTirNNO5nKLi7MKKKKZIUUUUAFFFFABRRRQAUUUUAQXtnBqFjcWV1H5lvcxNFKmSNysMEZHI4PavNvBM0Uvwc0VI5UdodVtkkVWBKN/aCNg+hwwOPQj1r1CvLPC1nBp/hrXLK1j8u3tvGUUUSZJ2qt1bADJ5PA70Aa0kVnffHiNmKSy6foO5dr8xSGUjkA9dkh4PZgfQ13tcL4bs4H+LnjK9aPNxDFZxI+TwrxAsMdOSi/l9a7qgAooooAKKKKAM3+zpdP+bSPLSP/AJ8nISH3KkKSh6HjKnn5csWqzZ30V5vVVkiljx5kMqFXTP8AMZBAYZU4OCcVZqteWEF7saRds0WTDOgHmRE91PboMjoRwQRxU2tsbc6n/E37/wCff8/XYs0Vm/bZ9N+XUvntxwt4gJ/GVQMJx/F93gk7MgVpU07kTg4+ncrXlhBe7GkXbNFkwzoB5kRPdT26DI6EcEEcVxeq/EdtC1OfS2s11FrZthuVnCb+M8gKQGGcHHcHgdB3tZ8mgaLNK8sukWMkjsWZ2tkJYnqSccms6kZv4HZnZg6+Hg2sTBzj0V7Wfrv8tjQooorU4AooooAKKKKACiiigAooooAK8y1P/iX/ABE1y1m+Z9Vl0e9hKchUjuoomDejbjkYyMdx0r02uF+KvhKDxPo1gzTfZ7i3voYkl2F8LNIkTDGQOrK3/AMcZJoAn+F/+k6FqWspxb6zq91e26n76ozbQGHQNlD0JHTmuzqCys4NPsbeytY/Lt7aJYokyTtVRgDJ5PA71PQAUUUUAFFFFABRRRQAVm/2dLp/zaR5aR/8+TkJD7lSFJQ9DxlTz8uWLVpUUmrlwm4+nY5m28aW134th0OGJsNE4lLD5o5lySh7YAVskbgSRjgZrpq5nT/AGi2N/wDbnN1eXIlWZZbmYkq4Oc/LjJJ5Oc9K6as6fPZ851414XmisNeyWt+/c//Z)
(e) between focus (F1) and optical centre (O) of the convex lens.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCACxAP8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAqvd6hZ2AU3l1Dbh/umVwufpmrFIQD1AP1pO/QqNr+9sZ5tNM1O3uJojHNFdpskaOT5ZAOMnHGe2evFZ9l4u0VFitLvVLeO5B8v55lIcgZyGGARj6emAa6AAAYAwK838X+BLXVfGmj3Fzq2piS7mkVdkqr9nCIXXy8LxyBzyanld7o2VWDi4zTa6a7fh2O/XU7BrM3i3kBtlODMJBsH49KfBfWl1btcW9zFLCucyI4KjHXmszS5r2zu5NN1SRZE4FnOR804A53EADf7ACtkAY4Ax7U02xVIRhpbz36fcVLbV9NvZfJtb+3nkxnZHKGOPoKSfWNMtZzBcahbRSjqjyqCPwq4FUdFA/CgqpOSoJ+lHvWJvT5tnb1/4BBdX9nYor3d1FbqxwpkcKCfxotL+zv1ZrO6huAhwxicNj64qcgHqAfrQAB0AH0p63JvDl2d/wCvL9SnFrOlz3At4dQtpJicCNZVLE/Sp7q7trKLzrqeOCPON8jBRn6mpNqg52jP0pSAeozRrYbcLqydvX/gFa01Kxv2ZbO8guCgywikDY+uKLvU7CwdUvL2C3ZhlRLIFJH41ZCgdAB9BQVU9QD9RRrYL0+bZ29f+B+hFbXVveQia1njnjJwHjYMPzFVD4g0ZWKtqtmCDggzrx+taAAHQYpNi/3R+VGoJ07u6dvX/gFa/wBTs9M059Qu51jtYwGaTBIAJAB4+oqD/hItF/6C1n/3/X/Guf8AF0gv702hRJINMiS5ljkdI1aRnCxkMwI4w+QeOR1OMdhsT+6Pyqpxcbaig4a8yf3/APAZn/8ACRaL/wBBaz/7/r/jR/wkWi/9Baz/AO/6/wCNaGxP7o/KjYn90flUe8aXo/yv71/kZ/8AwkWi/wDQWs/+/wCv+NH/AAkWi/8AQWs/+/6/41obE/uj8qNif3R+VHvBej/K/vX+RiaB4s0/Xpp7aJhHcwuwMZbO9QeGU9xW7WdpWhWGjee1pFiW4kMksrcsxJz19OelaNKHNy+9uPEui6r9gmo+YUUUVZzhRRRQAUUUUAFFFFABRRRQAVz2u/8AI1eGf+u8/wD6Jauhrntd/wCRq8M/9d5//RLUAdBWLCjWGrCBZGtIJHPlwnDwy55O08FH/wBnOOuAecbdQ3NpBdoqTpuCMHUgkFSO4I5FTJXNqVRRunsxyTRSO6RyIzRna4ByVPofzqSsq/isn1GLzke2uWAEN4gAJP8Ac3f0PB98Vfnu4LaSJJn2GZtqEg4J9M9AfT1oT7ilT25b6k1FFFUZBRRRQAUUUUAFRXFxFaW0tzM2yKFC7tjOFAyTTpZY4YnlldUjRSzMxwFA6kmvL/G3xOsJbyHQNKlSWKWaNby834RU3DcqnvkdT0xkc9t6FCdaVooTdjoo7WdvBd7fSxObnUphdOkcCz8FlC7UPBGxVOCeMk12NYfib7KPCU+37N9m2x7d+7ytu5cfc5x0xj27VuVlOXNJsYUUUVIBRRRQAUUUUAFFFFABRRRQAUUUUAFFeP67f3nhW78R6S9zqd3LdRxvpTNfSq/zsAEjGSWKk5JHJxg9a1dH1i68OajfaTNFNf6hYaX9re5udTlKzjIJBjYEI3Xpnp70Ael0V5RN8RfE17eeHL220+3sbPUPPYW73Qf7QqLnltmU74xye9W3+McccNk7aMM3lkblV+1qNrBygXkc9M8ZPoDQB6ZXPa7/AMjV4Z/67z/+iWrh/FPjaTXvAd1qNk13pd9p2orbOIrh0ydwB/ukjHZgMV2usnPiXwuc5zNPz/2wagDpKKKKAIL2zhv7SS1uFLRyDBwcGop2tQIdOvH85rlSoEi58zaOc4GP5VcqC6tIb2HyplyM5BBwVPYg9j70muxpCeyk3b+tSL/kGWX/AC8XSIf991X+ZwPqfrViGeK5hWaGRZI3GVZTkGmo6W6wwS3G6RhtUyEBpCBz0xz9KbLC8NvJ9hSGOVm34ZcKx75x6+v86Ww3aW+769CxRUFnctdQb3gkgdTteNx0I9D0I9xU9UtTOScXZhRRRQITrXEDwloHizXdUvNQ0yGSCCYW8e0GJzIo/eMSmNwOVwST0PSuo13UTpWj3F1HtMwXZArgkNK3CKcerECjQtOXSdFtbEbsxJ824gnJ5PI9ya3pylTi5Rdm9P8AMT1K3iCMWnheaK3LxLEsaJsuBCVAZQPnbgcevXp3rZrK8TI8nh+5WNJJGOzCx24nY/OOiHg/069q1awGFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYXia68N6THBq/iC2hIgcCK5e1MphOcjkKSvPf1p66B4b1hRqT6HZTNcjeZJ7MB2z3bcM/nWX8TdK1LXPBs+l6VZPdXFxImAHRQoVgxJLEenauSXwv4zklLR/2vbwHUoNkT6qcpaYPmDiQ98d8+lAHo6+GdBWOGNdFsAkDl4lFsmI2OMkccHgflTJfCXhuaVpZdA015HYszNaoSSepzivMrnSPig3mQINQ2W5lFpIL6M5BcFM4dScAHly3XGKqazrWs6hrWo2t9rWpaO1nDb+fIPMAtDtO/CwZVwxwdzEY6dqAPVv+EO8Mf8AQvaZ/wCAif4VT1eCG28R+FoIIkiijmnVERcKoELYAFc18OtO8VQXVrd6pf39xaSwtuaRxLFMDko4LSFgcEdEX0NdTrv/ACNXhn/rvP8A+iWoA6GiiigAooooAr31lHf2j28pKhhw6/eQ9mU9iPWlif7PFBDc3EbTN8oP3fMIGeASewqeq95ZRXsYWTKuh3RyIcNG3qDSa6o0jK6UZPQfcQC5geEvJHuH3o22sPcGobNL6Lel5LFMo+5KilWPsw5GfcHv0FSQyGIRW9xcRyXJUngbS4HUhc/SpmVXUqwBUjBB70b6hdxXL0/rYKWqNrpv2GcG1ndbYg7oHJcA9tpJ+Ue3T2FWIru2nMohnjkMLbZAjAlD6H0NCfcUoreOqMbUP+Jp4os9OHzQWSm6uP4lZuiIw7HneM/3fxrfrA8Kj7Ul9rDfMdQuWaKXpvgXiLjtx+PrW/W1XR8vb+mZowfGmpwaT4Xubme4eAbkVWjnELklhwrYPbP4ZrbikjmiSWJ1eN1DKynIYHoQa8m+I0j+K9ZvtL86QaXoduklwYm2n7Q7gKrA/eG3JBA4yea6f4dX9xANS8LX8jNc6NOY4Q5LObc8xszdCcHGBjAA4rIZ2tFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABVC80LSNRuFuL3TLS5mUALJNArMAOQMkVfooATpXP67/yNXhn/AK7z/wDolq6Gue13/kavDP8A13n/APRLUAdDRRRQAUUUUAFFFFAFa/skvrYxsdkg5ilHWNuzCnxyCEQ289wrzsnU4UyEAZIH+etTVV1CwS/hRS5jkicSRSL1Rx0OO/XpUtdUaxle0ZPQtVzni6LdaxR2kkkGoXkgtopYGxIqsfmbH8QUZY+nXI61vRyqGWCSaNrgIGZV4z2zjOQM5rFj/wCJn40lc8w6REEVTwRNIMlhjqNhxz37d62ppN8z6a/18yLyg9DWgS20+3t7NDFCoGyJBhQcDoBVmorm2hu4GhnjDo3b0PYg9j71Q1dpNP8ADF6VmnkkitZNsgBMmdpwflHXpzWTbvdjUU0rbnmtiP7R8L+MvEE3y3V3qCwSIv3AsToFwOueTnmuhhH9k/GmaG3+ZdZ08T3Bfkq0eVG30GBznNYegaZJp/wSuZppmllvphcvvXBUmVBg+v3c5960/G1nNa/E7wlq0N26faJfsjxrxlQdxyc8g7sY9qZLTTsz0aiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFc9rv/I1eGf+u8//AKJauhrntd/5Grwz/wBd5/8A0S1AHQ0UUUAFcFcfE3yUvr5NJ3abp+oCwmkM+Ji+QCyptwRk/wB4V3tcjP8ADjR55LlPtF4lld3YvJ7JXXy5JR3zt3jJHQNQAuj/ABB0/UdavdKvI/sMsF61pAzklJ2H+1gKGP8AdzmrUnjTTbbWtRsbu4htotPt/OmeXzFYcgdCgBHPBDHPpVWL4c6RHrDai9xeTA3xvxbu6+WJuzcKG49M4+tVJPAs2u69q+oeIFgS31CzS1FtbSs5G0hg+8quCCBxgigDaTxv4dewlvf7RVY4ZVidGjZZA7fdXyyNxJ7cc1na/wDEXTtJ0O31WyifUEnuhblVV0MZz8275SVYf3SAT2qX/hXeinRl00hwyTpOlzHHHHKrp90naoVsc/eB6mrN34MsL/QTpN7d31yDP9o+0yzbpRIDkMOMDHpjHtQBY166tYNHGqyW97I0KiSL7JAzTjI6Bcce4bj1rnvCWu3t9aSnSdKijjnmkuUj1C7eKZ1did4UREbTnjBI7Zrd1eaMm20o3N21wIzO0kJA4Rf+WuOiscjpgkVS0LTP7S8D6E0cvkXVvbRSQTAZKkKOD32noQCMitocsdJLcbk2kuxo/avE/wD0CdM/8GD/APxqvMpNa8ZTfDDXJb6PFop2w3jzssxQvghePnHbJI4J616rpeqfbZLi0ni8i9tConiB3KMjKsp7gj8fUCuf+K88MHw51RJJUjaVUSNWYDe28HA9TgE/hV+0UIuDgtbd/wDMmxyOm/2rH8GbVYLGxSyYI0svnN5rjzR/BtA3ZAHLdBUnxj1Munh25tJZIJ4bxwQDtkibC8H0Nbtxpn9j/BmGx87zvLt4W37dud0it0/HFU/jRpkT6NY6ufKDWlyqNvjyWDEY+bIIAwT+Nc8nfZGseWWkn8z0kdBS1l2esxMIo7uWFXlAMMyN+6uAehQ+vt1+o5rUqU0xThKG4UUUUyAooooAKKKKACiiigAooooAKKKKACiiigArntd/5Grwz/13n/8ARLV0Nc9rv/I1eGf+u8//AKJagDoaKKKACiiigAooooAKKKoazJMumyRWtxBBdTkRQNO5UFj2GOc4zjHcU0ruwFO2ee8g1K+uLJLckPDAWjKzGNQR8+e27cRjjBFHgz/kS9G/684v/QRV94PsujNb+bJL5VuU8yVtzvhcZJ7k1Q8Gf8iXo3/XnF/6CKcnd6AVfFzX1rAL7SNHuLzUYULRywSIoA7qwJywP90A+2Dg15V4xv8AVb74XK2utKupHWN8kM4KvGhRtuFPIXriveq8w+O8MJ8J2dw0KGVbwIJNo3AFWyAfTgflW0aidP2bXz/roK2tzoPEX/JLh/1623/oSVm/Gz/knsn/AF9RfzNT6tqMN58M5YAGiuILe2EkMgAZRuTB44IOOCOPxBqD42f8k9k/6+ov5msGmnZjOk8JwxT+B9HimjWSNrCIMrDII2CrIN3pJK+XLe2f8JU7pYR6HJyw+mW7YNQ+Dv8AkTNF/wCvGH/0AVtVLVzSFRxVnquxHBPFcwrNBIskbjKsp4NSVnTabJHK9zp05t5WO54iAYpW/wBoYyD7jHvnFTWV+l3ujdDDcR8SQueV9x6g9iKSfRlSpq3NDVfivX/Mt0UUVRiFFFFABRRRQAUUUUAFFFFABRRRQBXvkvJLYrYTwwT5GHmiMi478Bl/nWBd6D4jvNQsb2TWtOEli7vGF058EspU5/e+hrp6KAMT7J4p/wCgxpf/AILn/wDj1H2TxT/0GNL/APBc/wD8erbrgPGUb/b5bTSdV1S48Q3gQ2ltDcFYrRVPLuq4UL6l8k9BQBL4d0r4h2+oao+p61YmGSfMHmQGUEeqgMuwYwMEnkH6nf8Asnin/oMaX/4Ln/8Aj1eYTXGsJ4m8Q6cw17Umge2jU2GoSJ9mZ1y7gZPBOcDaQPavZLS3+y2kNv5sk3lRqnmStud8DGWPcmgDK+yeKf8AoMaX/wCC5/8A49R9k8U/9BjS/wDwXP8A/Hq26KAMT7J4p/6DGl/+C5//AI9XO6rofjy78W6ZcJqunSafbgu3+jEIj+pjLEs3PBDDHPTv3teNXtzqX/CXeJtPhj8QX8UNxBHCLLUZFNoHGWbqc/8AfJA9qAPR5bHxRLE8baxpgDqVONOfv/22qDTNF8SaVpltp8Gtac0VtEsSF9OfcQBgZxLXQWsH2W0ht/Nkl8pFTzJW3O+BjJPcmpaAMT7J4p/6DGl/+C5//j1ee/GiDWo/CNsdRv7K4i+2LhYLRomB2tzkyNx+Feu15n8d/wDkS7X/AK/l/wDQGoAb4h0fWj4Ij1E6lYqVtYFZY7NkaVMrtR2MhBAJBzjI5xjJqh8T59auvh/LJf31k6x3SJLbxWjRujgnuZDx3HHIIrrvEX/JLh/1623/AKElZfxntrX/AIQtrmWM7vtEaMykg7cn88ds0SlI0gov3X16ml4UtvEjeE9JMGq6akRs4tivYOxA2jAJ80ZP4Ctb7J4p/wCgxpf/AILn/wDj1M8E3ME/hDSo4ZA7RWkSuMEEHaOx557etb1JO5EouLszE+yeKf8AoMaX/wCC5/8A49VW+0XxFeJufUtJaeMEwyf2c6sh9m83Irpa5f4kSTQeA9Ture4nt57eMSRyQStGwOQOqkZHJ4oauOMnF3izJ0JPHGk2OzWtTt0Dys3nT2/2gRZPALrIpAJ5GRgAgZ7V0f2XxSf+Yxpf/guf/wCPVzHgWO7vtWaa6tdctYoLGIA3l600F4zrlnCnIz9G79BXXG1u9M+axImtRybVvvKPRGz09FP0yKWqNfdqeT/B/wCX5ehB9k8U/wDQY0v/AMFz/wDx6j7J4p/6DGl/+C5//j1atrdw3kIlgfcucEEYKnuCOx9qmqjFpxdmYn2TxT/0GNL/APBc/wD8erAttK+Ia+Mrm5l1qx/s1oAEzATHn0Ee4EHOcnd3HXoNrxcbCGyivNT1W9s7aB8+TaSmNrliMKny/OT6BSPfpXnN6viTTpPDw1K41WQ399OEsor10lNuACkbncBv5POSecZ4xQI9L+yeKf8AoMaX/wCC5/8A49R9k8U/9BjS/wDwXP8A/Hqp+AYrj+wDd3SapBLdzPIbXUrhpXgAOAqlgDtwM8+tdPQAUUUUAFFFFABRRRQAVhP4N0VtRutQSO6gubxg07wXs0XmEdMhWArdooAxdL8JaPo2pTalZRTrdXC7ZpJLqWQyY6btzHOO3pW1RRQAUUUUAFY+neFtJ0rVrnVbOGZLu7/18jXEj+Z6ZBYjjt6VsUUAFFFFABXmXx4/5Eu1/wCv5f8A0Bq9NrjvixbwzfDnVGliSRolR4yyglG3gZHocEj8aAHeIv8Aklw/69bb/wBCSs342f8AJPZP+vqL+Zp9xqf9sfBmG+8nyfMt4V2bt2Nsir1/DNU/jZqIg0DTtNaEOL68Ulyfu7CD075zQB0Xhyxkk8KaBfWjKt1DYRDDHCyqUHysRz9PQ84rfsb6O/gaRFZGRzHIjdUcdR/+qpYIYreCOGCNYoo1CoiDCqB0AHYVTvrOWN3v9PGLsL80f8M4HRW9/Ru304qWrao3jJTXJLfo/wBH5fkaFUdY0ax17T30/UY3ltnILosrJux2JUgke1TWV5FfW4ljPPR0PBRu6kdjVimncxlFxdnuVtPsLfTLGGytQ4ghXageRnIHpliTVmiimIo3WmJLMbq3ka2uv+eiE7W/316N6c8+hFNttTzMtrexm2ujwAQfLk/3W6H6dfatCorm2hu4GhnjDxt1B/mPQ+9TbqjZVE1y1NV+K/4Hl+Rn6v4a0rXbm1ub+GRp7MsYJI53jaMnGcFSPSqcvgbQ7i5t7mdb2aa2ffC8moTsY29Rl+Kuede6UMXI+1Waf8vAOZUH+0uOQP7w59uprQa5t0t/tLTRrDgN5hYbcHoc0Jkyptbap9v6/AloooqjMKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArlfibBNc/DvV4oInlkMSkKiknAdSePoCa6qqOtxvLoOoRxozu9rIqqoySSpwBQBwGm/8kFtf+uKf+jxUHxugmuT4bht4nlle7cKiLlmPy9BUPh3UHvPgfcW0luYX0+UWzBjyxEqMSRjj72Me1anja8muvif4S0mG0d/s8v2t5F5wpO05GOANuc+9AHoo6CloooAzr6zmW4S/sQBOp/ex5x9oTH3Seme4P4cA1Zs7yG+h82Eng7XRhhkbupHY1YrNu7SW0eS+08fvD800H8M3+De/foe2IemqN4tVFyy36P8AR/p/ltpUVBZ3cV9ax3MJ+WRc4PVT3B9x0NT1e5i04uzCiiigQ192xtoBbHAJwCa818S+G/Fl9f8A+iWsaWhIdYLe6zGrZ6kNgZzzwMV6ZRWVSmqiszuwWNng588Em/P/AIcr6f8Aaf7Otvtn/Hz5S+d0+/jnpx1qxRRWi0OKTu2wooopiCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA8hsT/Z3hfxl4fm+a6s9QWeR1+4VldCoB654OeK6GE/2t8aZprf5V0bTxBcB+CzSZYbfUYPOcVg/EaN/Cus32qeRIdL1y3SO4ES7j9oRwVZifujbkAA84PFdN8O7C4nGpeKL+NludZnMkRkBV1txxGrL0BwM5HUEc0AdrRRRQAUUUUAZl7azWs4v9PTLlh9ohXpMvcgf3x2PHvnirtvdQXUAnhkDRnqemMdQR2I9DUpzg4GT2zXmvi608XyS3htrDyrO52+ctm/mGU4A56N7cACsakvZq6Vz0cJQWMkqcpKNurf4efl93p6RFLHPEssMiyRuMqynII9jT6zPDUUkHhrToZo2jkS3QMjDBU46EVp1rF3SZxVYqFSUV0bCiiimZhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB518cv+RBX/AK/Y/wCTV2fhv/kWNK/68of/AEAUUUAaVFFFABRRRQAUUUUAFFFFABRRRQAUUUUAf//Z)
PROCEDURE
1. Place a white sheet of paper on a drawing board using pins and cello tape.
2. Draw a thin line 20 cm in length in the middle of the paper using a sharp pencil and a meter scale. Name it as XX’.
3. Mark a point ‘O’ at the centre of this line. Draw a perpendicular line of equal height at the point O as the optical centre above and below XX’. Name it L1L2.
4. Mark points F1 and F2 on the line ‘XX on either side of the lens L1L2 such that OF1 = OF2 where F1 and F2 are the two principal foci of the lens.
5. Also, mark points R1 and R2 on the line XX’ such that O(R1) = 2(OF1) and O(R2)= 2 (OF2).
6. Draw the object AB of suitable height ‘h1’ at a very far distance from the lens considered to be placed at infinity.
7. Draw thin lines parallel to the principal axis such as CD, GH, PQ and RS incident on the surface of the convex lens.
8. Draw the emergent rays on the other side of the lens such as DF HF QF and SF through the convex lens and intersect at the first focus F.
9. Record the result in an observation table.
10. Fix second white sheet of paper on the drawing board.
11. Repeat the steps (2) to (6).
12. Draw an object AB of suitable height beyond 2F1 as shown.
13. Draw a ray of light AE parallel to the principal axis F1OF2 incident on the surface of the convex lens at point E.
14. Draw another ray AO through the optical centre O of a convex lens and extend it to another side of the lens as OA.’
15. On the other side of the convex lens, draw the ray EF2 passing through the focus F2 and intersecting the ray OA’ at A as shown in the figure, forming an image B’A.
16. Measure the height of the image A’B’(h2).
17. We observe from the figure that the image formed is real, inverted, smaller in size and in between F2 and 2F2.
18. Record the reading in the table
19. Repeat the above steps similar to the previous case. Draw ray diagrams for other positions of the object as shown in the
![](data:image/png;base64,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)
20. Measure the height of the object AB (h1) and height of image A’B’(h2) respective in all cases (c) to (f) as listed in step 20. Record them in the observation table.
21. Note down nature. Relative size and position of the image formed by the convex lens for the various positions of the object.
22. Tabulate your observations in the observation table.
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)
OBSERVATION AND CALCULATION
![](data:image/png;base64,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)
RESULT
1. As the object is moved from infinity towards the optical centre of the convex lens.
(i) The image distance increases gradually
(ii) Size of the image also increases gradually
2. When the object is placed At infinity, real and highly diminished image is formed at the focus.
3. When the object is placed At Beyond 2F1, real, inverted and smaller image is formed at a point between F1 and F2.
4. When the object is placed At the 2F2 real, inverted and same size of the image of the object is formed at 2F2.
5. When the object lies between F1 and the 2F2 real, inverted and enlarged image is formed beyond 2F2.
6. When the position of th object lies at F1, the image formed is at infinity, It is real, inverted and highly enlarged.
PRECAUTIONS
1. The convex lens should be thin and have a small aperture and should be without any scratches to get the distinct image of the object.
2. The lens should be placed completely vertically inside the lens holder.
3. The ray diagram should be drawn with a sharp pencil.
AIM
To draw the images of an object formed by a convex lens when placed at various positions.
Answer:
MATERIALS REQUIRED
A drawing board, sheets of white paper, measuring scale, protractor and drawing pins or adhesive tape.
THEORY
The light ray when refracted through a convex lens obey the laws of refraction. The formation of images by a convex lens can be studied by drawing ray diagrams. using the new cartesian sign convention as given in the figure.
The new cartesian sign convention can be summarised as below:
(i) The object is always placed to the left of the lens.
(ii) All distances parallel to the principal axis are measured from the optical centre of the lens.
(iii) All distances measured to the right of the origin are taken as positive while those measured to the left of original taken as negative.
(iv) Distance measured perpendicular to and above the principal axis are taken as positive.
(v) Distances measured perpendicular to and below the principal axis are taken as negative.
Daw ray diagrams are forming images by a convex lens for various positions of the object.
The position of the object may be
(a) beyond 2F1
(b) at 2F1
(c) between F1 and 2F1,
(d) at F1,
(e) between focus (F1) and optical centre (O) of the convex lens.
PROCEDURE
1. Place a white sheet of paper on a drawing board using pins and cello tape.
2. Draw a thin line 20 cm in length in the middle of the paper using a sharp pencil and a meter scale. Name it as XX’.
3. Mark a point ‘O’ at the centre of this line. Draw a perpendicular line of equal height at the point O as the optical centre above and below XX’. Name it L1L2.
4. Mark points F1 and F2 on the line ‘XX on either side of the lens L1L2 such that OF1 = OF2 where F1 and F2 are the two principal foci of the lens.
5. Also, mark points R1 and R2 on the line XX’ such that O(R1) = 2(OF1) and O(R2)= 2 (OF2).
6. Draw the object AB of suitable height ‘h1’ at a very far distance from the lens considered to be placed at infinity.
7. Draw thin lines parallel to the principal axis such as CD, GH, PQ and RS incident on the surface of the convex lens.
8. Draw the emergent rays on the other side of the lens such as DF HF QF and SF through the convex lens and intersect at the first focus F.
9. Record the result in an observation table.
10. Fix second white sheet of paper on the drawing board.
11. Repeat the steps (2) to (6).
12. Draw an object AB of suitable height beyond 2F1 as shown.
13. Draw a ray of light AE parallel to the principal axis F1OF2 incident on the surface of the convex lens at point E.
14. Draw another ray AO through the optical centre O of a convex lens and extend it to another side of the lens as OA.’
15. On the other side of the convex lens, draw the ray EF2 passing through the focus F2 and intersecting the ray OA’ at A as shown in the figure, forming an image B’A.
16. Measure the height of the image A’B’(h2).
17. We observe from the figure that the image formed is real, inverted, smaller in size and in between F2 and 2F2.
18. Record the reading in the table
19. Repeat the above steps similar to the previous case. Draw ray diagrams for other positions of the object as shown in the
20. Measure the height of the object AB (h1) and height of image A’B’(h2) respective in all cases (c) to (f) as listed in step 20. Record them in the observation table.
21. Note down nature. Relative size and position of the image formed by the convex lens for the various positions of the object.
22. Tabulate your observations in the observation table.
OBSERVATION AND CALCULATION
RESULT
1. As the object is moved from infinity towards the optical centre of the convex lens.(i) The image distance increases gradually
(ii) Size of the image also increases gradually
2. When the object is placed At infinity, real and highly diminished image is formed at the focus.
3. When the object is placed At Beyond 2F1, real, inverted and smaller image is formed at a point between F1 and F2.
4. When the object is placed At the 2F2 real, inverted and same size of the image of the object is formed at 2F2.
5. When the object lies between F1 and the 2F2 real, inverted and enlarged image is formed beyond 2F2.
6. When the position of th object lies at F1, the image formed is at infinity, It is real, inverted and highly enlarged.
PRECAUTIONS
1. The convex lens should be thin and have a small aperture and should be without any scratches to get the distinct image of the object.
2. The lens should be placed completely vertically inside the lens holder.
3. The ray diagram should be drawn with a sharp pencil.
Viva Questions
Question 1.What is the difference between concave and convex lens?
Answer:A convex lens is used for focusing of light rays at a specific point whereas a concave lens is a diverging lens diverges the light rays
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)
Question 2.What happens to the size of the image when the object lies in moved from infinity towards the optical center of the lens ?
Answer:The size of the image increases gradually when it is brought close to the optical center. Example, when a candle is placed between focus “F” and optical centre “O”, then a very enlarged image is formed as shown below:
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Question 3.What would be the nature of image when the object lies in between the infinity and “F”?
Answer:Real and the inverted image are formed. The image formation diagram is shown here:
![](data:image/jpeg;base64,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Question 4.What will happen when the experiment is performed with scratches on the lens?
Answer:Sharp and distant images cannot be obtained accurately due the scratches on the lens.
Question 5.Is virtual image erect or inverted ?
Answer:The virtual image is always erect and enlarged.
Question 6.Where an object should be placed in order to use a convex lens as a magnifying lens?
Answer:Between focus and optical center of the lens.
Question 7.What factors determine the size of the image formed?
Answer:It depends on the position of an object from the lens.
Question 8.Why you draw the equiconvex lens?
Answer:An equiconvex lens has the same radius of curvature on both surfaces. If the drawn lens is not equiconvex, then the condition OF1 = OF2 will not hold.
Question 9.Why we draw only two rays in a ray diagram?
Answer:We draw two rays because:
1. For the sake of clarity of ray diagram.
2. To know their direction easily after refraction from the lens.
Question 10.What is the quantity which remains constant when light undergo refraction? Why?
Answer:The frequency of the ray of light remains constant during refraction. When light changes it medium, then there is no loss in energy of the wave. Since, there is no loss in energy hence, no change in frequency as well. The frequency remains constant.
Question 11.What is the nature of an image formed by a thin convex lens for a distant object?
Answer:Nature of the image formed by a thin convex lens for a distant object is real, inverted and highly diminished. It is formed at the focus of a convex lens.
Question 12.How will you distinguish between a convex lens and a concave lens by holding in hand and looking on the printed page?
Answer:If the letter of the printed page appears enlarged then it is a convex lens , but if it appears diminished than it is a concave lens.
Question 13.Why would we require a calm atmosphere to perform this experiment?
Answer:With the flickering flame we can not get a sharp and bright image of our object.
Question 14.Why it is preferred to perform this experiment in the dark or in the light?
Answer:To get the sharp and distinct image of the candle flame, it should be better this experiment in the dark.
Question 15.Where should the object be placed in front of a convex lens to get inverted, magnified image formed beyond its center of curvature?
Answer:The object should be placed between F1 and 2F1 in front of the convex lens so that the obtained image is real, inverted, magnified and formed beyond the center of curvature.
The ray diagram is shown below:
![](data:image/jpeg;base64,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What is the difference between concave and convex lens?
Answer:
A convex lens is used for focusing of light rays at a specific point whereas a concave lens is a diverging lens diverges the light rays
Question 2.
What happens to the size of the image when the object lies in moved from infinity towards the optical center of the lens ?
Answer:
The size of the image increases gradually when it is brought close to the optical center. Example, when a candle is placed between focus “F” and optical centre “O”, then a very enlarged image is formed as shown below:
Question 3.
What would be the nature of image when the object lies in between the infinity and “F”?
Answer:
Real and the inverted image are formed. The image formation diagram is shown here:
Question 4.
What will happen when the experiment is performed with scratches on the lens?
Answer:
Sharp and distant images cannot be obtained accurately due the scratches on the lens.
Question 5.
Is virtual image erect or inverted ?
Answer:
The virtual image is always erect and enlarged.
Question 6.
Where an object should be placed in order to use a convex lens as a magnifying lens?
Answer:
Between focus and optical center of the lens.
Question 7.
What factors determine the size of the image formed?
Answer:
It depends on the position of an object from the lens.
Question 8.
Why you draw the equiconvex lens?
Answer:
An equiconvex lens has the same radius of curvature on both surfaces. If the drawn lens is not equiconvex, then the condition OF1 = OF2 will not hold.
Question 9.
Why we draw only two rays in a ray diagram?
Answer:
We draw two rays because:
1. For the sake of clarity of ray diagram.
2. To know their direction easily after refraction from the lens.
Question 10.
What is the quantity which remains constant when light undergo refraction? Why?
Answer:
The frequency of the ray of light remains constant during refraction. When light changes it medium, then there is no loss in energy of the wave. Since, there is no loss in energy hence, no change in frequency as well. The frequency remains constant.
Question 11.
What is the nature of an image formed by a thin convex lens for a distant object?
Answer:
Nature of the image formed by a thin convex lens for a distant object is real, inverted and highly diminished. It is formed at the focus of a convex lens.
Question 12.
How will you distinguish between a convex lens and a concave lens by holding in hand and looking on the printed page?
Answer:
If the letter of the printed page appears enlarged then it is a convex lens , but if it appears diminished than it is a concave lens.
Question 13.
Why would we require a calm atmosphere to perform this experiment?
Answer:
With the flickering flame we can not get a sharp and bright image of our object.
Question 14.
Why it is preferred to perform this experiment in the dark or in the light?
Answer:
To get the sharp and distinct image of the candle flame, it should be better this experiment in the dark.
Question 15.
Where should the object be placed in front of a convex lens to get inverted, magnified image formed beyond its center of curvature?
Answer:
The object should be placed between F1 and 2F1 in front of the convex lens so that the obtained image is real, inverted, magnified and formed beyond the center of curvature.
The ray diagram is shown below: