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Rohit focus the image of the candel flameon a using a convex lens,the candle down the poistion of the candle,screen and lens as under postion of candle =26cm postion of convex lens =50cm position of screen =74cm 1]WHAT IS THE FOCAL LENGTH OF CONVEX LENS 2]WHERE WILL THE IMAGE WILL FORMED IF HE SHIFT THE CANDLE TOWARDS THE LENS AT A POSITION OF 38CM 3]DRAW A DIAGRAM TO SHOW THE FORMATION OF THE IMAGE IN CASE 2?
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Rohit focus the image of the candel flameon a using a convex lens,the ...
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Rohit focus the image of the candel flameon a using a convex lens,the ...
1. Focal Length of the Convex Lens
To calculate the focal length (f) of the lens, we can use the lens formula:
1/f = 1/v - 1/u
Where:
- u = position of the object (candle) = -26 cm (object distance is taken as negative)
- v = position of the image (screen) = 74 cm (image distance is positive)
Substituting the values:
1/f = 1/74 - 1/(-26)
Calculating this gives:
1/f = (1/74 + 1/26) = (26 + 74) / (74 * 26) = 100 / 1924
Thus, f = 1924/100 = 19.24 cm
2. Position of the Image when the Candle is Shifted
When the candle is shifted towards the lens to a position of 38 cm, we again use the lens formula with the new object distance:
- u = -38 cm
Substituting this into the lens formula:
1/f = 1/v - 1/u
Using the previously calculated focal length:
1/19.24 = 1/v + 1/38
Rearranging gives us the new image position (v). Solving this yields v ≈ 29.6 cm.
3. Diagram for Image Formation in Case 2
Here’s a visual explanation of the image formation:
Screen
|
|
(v)
|
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| Image Formed
|
|
|
|
----------- Convex Lens
| |
| |
| |
| |
| |
\ /
\ /
\ /
\ /
\ /
|
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| Candle
| (u = -38 cm)
Explanation of Image Formation
- The candle, positioned at 38 cm, is the object.
- The convex lens refracts light rays from the candle, converging them to form a real image.
- The image is formed at approximately 29.6 cm on the opposite side of the lens.
- Since the image distance is positive, the image formed is real and inverted compared to the object.
This setup illustrates how changing the object distance affects the position of the image formed by the lens.
To calculate the focal length (f) of the lens, we can use the lens formula:
1/f = 1/v - 1/u
Where:
- u = position of the object (candle) = -26 cm (object distance is taken as negative)
- v = position of the image (screen) = 74 cm (image distance is positive)
Substituting the values:
1/f = 1/74 - 1/(-26)
Calculating this gives:
1/f = (1/74 + 1/26) = (26 + 74) / (74 * 26) = 100 / 1924
Thus, f = 1924/100 = 19.24 cm
2. Position of the Image when the Candle is Shifted
When the candle is shifted towards the lens to a position of 38 cm, we again use the lens formula with the new object distance:
- u = -38 cm
Substituting this into the lens formula:
1/f = 1/v - 1/u
Using the previously calculated focal length:
1/19.24 = 1/v + 1/38
Rearranging gives us the new image position (v). Solving this yields v ≈ 29.6 cm.
3. Diagram for Image Formation in Case 2
Here’s a visual explanation of the image formation:
Screen
|
|
(v)
|
|
| Image Formed
|
|
|
|
----------- Convex Lens
| |
| |
| |
| |
| |
\ /
\ /
\ /
\ /
\ /
|
|
| Candle
| (u = -38 cm)
Explanation of Image Formation
- The candle, positioned at 38 cm, is the object.
- The convex lens refracts light rays from the candle, converging them to form a real image.
- The image is formed at approximately 29.6 cm on the opposite side of the lens.
- Since the image distance is positive, the image formed is real and inverted compared to the object.
This setup illustrates how changing the object distance affects the position of the image formed by the lens.
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Rohit focus the image of the candel flameon a using a convex lens,the candle down the poistion of the candle,screen and lens as under postion of candle =26cm postion of convex lens =50cm position of screen =74cm 1]WHAT IS THE FOCAL LENGTH OF CONVEX LENS 2]WHERE WILL THE IMAGE WILL FORMED IF HE SHIFT THE CANDLE TOWARDS THE LENS AT A POSITION OF 38CM 3]DRAW A DIAGRAM TO SHOW THE FORMATION OF THE IMAGE IN CASE 2?
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Rohit focus the image of the candel flameon a using a convex lens,the candle down the poistion of the candle,screen and lens as under postion of candle =26cm postion of convex lens =50cm position of screen =74cm 1]WHAT IS THE FOCAL LENGTH OF CONVEX LENS 2]WHERE WILL THE IMAGE WILL FORMED IF HE SHIFT THE CANDLE TOWARDS THE LENS AT A POSITION OF 38CM 3]DRAW A DIAGRAM TO SHOW THE FORMATION OF THE IMAGE IN CASE 2? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Rohit focus the image of the candel flameon a using a convex lens,the candle down the poistion of the candle,screen and lens as under postion of candle =26cm postion of convex lens =50cm position of screen =74cm 1]WHAT IS THE FOCAL LENGTH OF CONVEX LENS 2]WHERE WILL THE IMAGE WILL FORMED IF HE SHIFT THE CANDLE TOWARDS THE LENS AT A POSITION OF 38CM 3]DRAW A DIAGRAM TO SHOW THE FORMATION OF THE IMAGE IN CASE 2? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rohit focus the image of the candel flameon a using a convex lens,the candle down the poistion of the candle,screen and lens as under postion of candle =26cm postion of convex lens =50cm position of screen =74cm 1]WHAT IS THE FOCAL LENGTH OF CONVEX LENS 2]WHERE WILL THE IMAGE WILL FORMED IF HE SHIFT THE CANDLE TOWARDS THE LENS AT A POSITION OF 38CM 3]DRAW A DIAGRAM TO SHOW THE FORMATION OF THE IMAGE IN CASE 2?.
Rohit focus the image of the candel flameon a using a convex lens,the candle down the poistion of the candle,screen and lens as under postion of candle =26cm postion of convex lens =50cm position of screen =74cm 1]WHAT IS THE FOCAL LENGTH OF CONVEX LENS 2]WHERE WILL THE IMAGE WILL FORMED IF HE SHIFT THE CANDLE TOWARDS THE LENS AT A POSITION OF 38CM 3]DRAW A DIAGRAM TO SHOW THE FORMATION OF THE IMAGE IN CASE 2? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Rohit focus the image of the candel flameon a using a convex lens,the candle down the poistion of the candle,screen and lens as under postion of candle =26cm postion of convex lens =50cm position of screen =74cm 1]WHAT IS THE FOCAL LENGTH OF CONVEX LENS 2]WHERE WILL THE IMAGE WILL FORMED IF HE SHIFT THE CANDLE TOWARDS THE LENS AT A POSITION OF 38CM 3]DRAW A DIAGRAM TO SHOW THE FORMATION OF THE IMAGE IN CASE 2? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rohit focus the image of the candel flameon a using a convex lens,the candle down the poistion of the candle,screen and lens as under postion of candle =26cm postion of convex lens =50cm position of screen =74cm 1]WHAT IS THE FOCAL LENGTH OF CONVEX LENS 2]WHERE WILL THE IMAGE WILL FORMED IF HE SHIFT THE CANDLE TOWARDS THE LENS AT A POSITION OF 38CM 3]DRAW A DIAGRAM TO SHOW THE FORMATION OF THE IMAGE IN CASE 2?.
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