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Two lenses of powers 10D and -5D are kept in contact. Calculate the total power and
equivalent focal length of the combination.?
equivalent focal length of the combination.?
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Two lenses of powers 10D and -5D are kept in contact. Calculate the to...
Calculation of Total Power and Equivalent Focal Length
- Given Powers of the Lenses:
- Lens 1: Power = 10D
- Lens 2: Power = -5D
- Formula for Total Power of Lenses in Contact:
- Total Power = P1 + P2 - (d * P1 * P2)
- Calculating Total Power:
- Total Power = 10D - 5D - (d * 10D * -5D)
- Total Power = 5D + 50d D
- Setting Total Power to Zero for Thin Lens Formula:
- 5 + 50d = 0
- d = -1/10 m
- Calculating Equivalent Focal Length:
- 1/f = 1/f1 + 1/f2 - d
- 1/f = 1/10 - 1/5 + 1/10
- 1/f = 1/10
- f = 10 cm
- Explanation:
- When two lenses are in contact, the total power of the combination is calculated using the formula provided.
- By setting the total power to zero and solving for the separation distance, we find the equivalent focal length of the combination.
- In this case, the equivalent focal length of the combination is 10 cm.
- Given Powers of the Lenses:
- Lens 1: Power = 10D
- Lens 2: Power = -5D
- Formula for Total Power of Lenses in Contact:
- Total Power = P1 + P2 - (d * P1 * P2)
- Calculating Total Power:
- Total Power = 10D - 5D - (d * 10D * -5D)
- Total Power = 5D + 50d D
- Setting Total Power to Zero for Thin Lens Formula:
- 5 + 50d = 0
- d = -1/10 m
- Calculating Equivalent Focal Length:
- 1/f = 1/f1 + 1/f2 - d
- 1/f = 1/10 - 1/5 + 1/10
- 1/f = 1/10
- f = 10 cm
- Explanation:
- When two lenses are in contact, the total power of the combination is calculated using the formula provided.
- By setting the total power to zero and solving for the separation distance, we find the equivalent focal length of the combination.
- In this case, the equivalent focal length of the combination is 10 cm.
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Two lenses of powers 10D and -5D are kept in contact. Calculate the total power and equivalent focal length of the combination.?
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Two lenses of powers 10D and -5D are kept in contact. Calculate the total power and equivalent focal length of the combination.? 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 Two lenses of powers 10D and -5D are kept in contact. Calculate the total power and equivalent focal length of the combination.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two lenses of powers 10D and -5D are kept in contact. Calculate the total power and equivalent focal length of the combination.?.
Two lenses of powers 10D and -5D are kept in contact. Calculate the total power and equivalent focal length of the combination.? 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 Two lenses of powers 10D and -5D are kept in contact. Calculate the total power and equivalent focal length of the combination.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two lenses of powers 10D and -5D are kept in contact. Calculate the total power and equivalent focal length of the combination.?.
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