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Three lenses are placed adjacent to each other the respective power of the lens are 2.0 diopter -1.0 and 0.5 diopter what is the power of the combined system of the lenses?
Most Upvoted Answer
Three lenses are placed adjacent to each other the respective power of...
Power of Each Lens:
- Lens 1: 2.0 diopter
- Lens 2: -1.0 diopter
- Lens 3: 0.5 diopter
Understanding Lens Power:
- The power of a lens is a measure of its ability to converge or diverge light rays.
- It is given by the formula: Power (P) = 1/focal length (F), where the focal length is measured in meters (m) and the power is measured in diopters (D).
- A positive power indicates a converging lens, while a negative power indicates a diverging lens.
Calculating Focal Length:
- To find the focal length of each lens, we use the formula: F = 1/P.
- Lens 1: F1 = 1/2.0 = 0.5 m
- Lens 2: F2 = 1/-1.0 = -1.0 m
- Lens 3: F3 = 1/0.5 = 2.0 m
Combining the Lenses:
- When two or more lenses are placed adjacent to each other, their powers can be combined to find the power of the combined system.
- For lenses in contact, the combined power is given by the formula: P_combined = P1 + P2 + P3 + ...
Calculating Combined Power:
- P_combined = 2.0 + (-1.0) + 0.5 = 1.5 diopters
Interpretation:
- The combined power of the three lenses is 1.5 diopters.
- Since the power is positive, the combined system acts as a converging lens.
- The focal length of the combined system can be calculated using the formula: F_combined = 1/P_combined = 1/1.5 = 0.67 m.
Conclusion:
- The combined system of the three lenses has a power of 1.5 diopters and acts as a converging lens with a focal length of 0.67 meters.
- Lens 1: 2.0 diopter
- Lens 2: -1.0 diopter
- Lens 3: 0.5 diopter
Understanding Lens Power:
- The power of a lens is a measure of its ability to converge or diverge light rays.
- It is given by the formula: Power (P) = 1/focal length (F), where the focal length is measured in meters (m) and the power is measured in diopters (D).
- A positive power indicates a converging lens, while a negative power indicates a diverging lens.
Calculating Focal Length:
- To find the focal length of each lens, we use the formula: F = 1/P.
- Lens 1: F1 = 1/2.0 = 0.5 m
- Lens 2: F2 = 1/-1.0 = -1.0 m
- Lens 3: F3 = 1/0.5 = 2.0 m
Combining the Lenses:
- When two or more lenses are placed adjacent to each other, their powers can be combined to find the power of the combined system.
- For lenses in contact, the combined power is given by the formula: P_combined = P1 + P2 + P3 + ...
Calculating Combined Power:
- P_combined = 2.0 + (-1.0) + 0.5 = 1.5 diopters
Interpretation:
- The combined power of the three lenses is 1.5 diopters.
- Since the power is positive, the combined system acts as a converging lens.
- The focal length of the combined system can be calculated using the formula: F_combined = 1/P_combined = 1/1.5 = 0.67 m.
Conclusion:
- The combined system of the three lenses has a power of 1.5 diopters and acts as a converging lens with a focal length of 0.67 meters.
Community Answer
Three lenses are placed adjacent to each other the respective power of...
2 .0 + (-1.0) + 0.5 =1.5 diopter
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Three lenses are placed adjacent to each other the respective power of the lens are 2.0 diopter -1.0 and 0.5 diopter what is the power of the combined system of the lenses?
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Three lenses are placed adjacent to each other the respective power of the lens are 2.0 diopter -1.0 and 0.5 diopter what is the power of the combined system of the lenses? 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 Three lenses are placed adjacent to each other the respective power of the lens are 2.0 diopter -1.0 and 0.5 diopter what is the power of the combined system of the lenses? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three lenses are placed adjacent to each other the respective power of the lens are 2.0 diopter -1.0 and 0.5 diopter what is the power of the combined system of the lenses?.
Three lenses are placed adjacent to each other the respective power of the lens are 2.0 diopter -1.0 and 0.5 diopter what is the power of the combined system of the lenses? 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 Three lenses are placed adjacent to each other the respective power of the lens are 2.0 diopter -1.0 and 0.5 diopter what is the power of the combined system of the lenses? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three lenses are placed adjacent to each other the respective power of the lens are 2.0 diopter -1.0 and 0.5 diopter what is the power of the combined system of the lenses?.
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