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A convex lens of focal length 80 cm and aconcave lens of focal length 50 cm are combinedtogether. What will be their resulting power? [1996]
- a)+ 6.5 D
- b)– 6.5 D
- c)+ 7.5 D
- d)– 0.75 D
Correct answer is option 'D'. Can you explain this answer?
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The power of a lens is given by P = 1/f, where f is the focal length of the lens in meters and P is measured in diopters (D).
For the convex lens with focal length 80 cm (0.8 m), its power is P1 = 1/0.8 = 1.25 D.
For the concave lens with focal length -50 cm (-0.5 m), its power is P2 = 1/-0.5 = -2 D (note the negative sign due to the concave nature of the lens).
To find the resulting power of the combination of the two lenses, we use the formula for the power of lenses in series:
1/P = 1/P1 + 1/P2
Substituting the values we have:
1/P = 1/1.25 + 1/-2
1/P = 0.8 - 0.5
1/P = 0.3
P = 1/0.3 = 3.33 D
Therefore, the resulting power of the combined lenses is 3.33 D. Answer: (c) 3.33 D.
For the convex lens with focal length 80 cm (0.8 m), its power is P1 = 1/0.8 = 1.25 D.
For the concave lens with focal length -50 cm (-0.5 m), its power is P2 = 1/-0.5 = -2 D (note the negative sign due to the concave nature of the lens).
To find the resulting power of the combination of the two lenses, we use the formula for the power of lenses in series:
1/P = 1/P1 + 1/P2
Substituting the values we have:
1/P = 1/1.25 + 1/-2
1/P = 0.8 - 0.5
1/P = 0.3
P = 1/0.3 = 3.33 D
Therefore, the resulting power of the combined lenses is 3.33 D. Answer: (c) 3.33 D.
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A convex lens of focal length 80 cm and aconcave lens of focal length 50 cm are combinedtogether. What will be their resulting power? [1996]a)+ 6.5 Db)– 6.5 Dc)+ 7.5 Dd)– 0.75 DCorrect answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A convex lens of focal length 80 cm and aconcave lens of focal length 50 cm are combinedtogether. What will be their resulting power? [1996]a)+ 6.5 Db)– 6.5 Dc)+ 7.5 Dd)– 0.75 DCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex lens of focal length 80 cm and aconcave lens of focal length 50 cm are combinedtogether. What will be their resulting power? [1996]a)+ 6.5 Db)– 6.5 Dc)+ 7.5 Dd)– 0.75 DCorrect answer is option 'D'. Can you explain this answer?.
A convex lens of focal length 80 cm and aconcave lens of focal length 50 cm are combinedtogether. What will be their resulting power? [1996]a)+ 6.5 Db)– 6.5 Dc)+ 7.5 Dd)– 0.75 DCorrect answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A convex lens of focal length 80 cm and aconcave lens of focal length 50 cm are combinedtogether. What will be their resulting power? [1996]a)+ 6.5 Db)– 6.5 Dc)+ 7.5 Dd)– 0.75 DCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex lens of focal length 80 cm and aconcave lens of focal length 50 cm are combinedtogether. What will be their resulting power? [1996]a)+ 6.5 Db)– 6.5 Dc)+ 7.5 Dd)– 0.75 DCorrect answer is option 'D'. Can you explain this answer?.
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