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A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave like
- a)a converging lens of focal length 50 cm
- b)a diverging lens of focal length 100 cm
- c)a diverging lens of focal length 50 cm
- d)a converging lens of focal length 100cm
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A lens of power + 2.0 D is placed in contact with another lens of powe...
P = P1 + P2 = +2 − 1 = +1 dioptre, lens behaves as convergent
F = 1/P = 1/1 = 1m = 100cm
F = 1/P = 1/1 = 1m = 100cm
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Community Answer
A lens of power + 2.0 D is placed in contact with another lens of powe...
To determine the combined power of the two lenses, we can use the lens formula:
1/f = 1/v - 1/u,
where f is the focal length, v is the image distance, and u is the object distance.
For the first lens with a power of 2.0 D, the focal length can be calculated as:
f1 = 1 / P1 = 1 / 2.0 = 0.5 m.
Similarly, for the second lens, let's assume it has a power of P2 D. Thus, the focal length can be calculated as:
f2 = 1 / P2.
When the two lenses are in contact, the image formed by the first lens will act as the object for the second lens. Therefore, the object distance for the second lens will be equal to the focal length of the first lens, u2 = f1.
Using the lens formula for the second lens:
1/f2 = 1/v2 - 1/u2.
Substituting the values:
1/(1/P2) = 1/v2 - 1/f1.
Simplifying:
P2 = f1 / (v2 - f1).
Since the two lenses are in contact, the image formed by the first lens will coincide with the object of the second lens, so v2 = f1. Substituting this value:
P2 = f1 / (f1 - f1) = f1 / 0 = undefined.
Therefore, the combined power of the two lenses in contact is undefined.
1/f = 1/v - 1/u,
where f is the focal length, v is the image distance, and u is the object distance.
For the first lens with a power of 2.0 D, the focal length can be calculated as:
f1 = 1 / P1 = 1 / 2.0 = 0.5 m.
Similarly, for the second lens, let's assume it has a power of P2 D. Thus, the focal length can be calculated as:
f2 = 1 / P2.
When the two lenses are in contact, the image formed by the first lens will act as the object for the second lens. Therefore, the object distance for the second lens will be equal to the focal length of the first lens, u2 = f1.
Using the lens formula for the second lens:
1/f2 = 1/v2 - 1/u2.
Substituting the values:
1/(1/P2) = 1/v2 - 1/f1.
Simplifying:
P2 = f1 / (v2 - f1).
Since the two lenses are in contact, the image formed by the first lens will coincide with the object of the second lens, so v2 = f1. Substituting this value:
P2 = f1 / (f1 - f1) = f1 / 0 = undefined.
Therefore, the combined power of the two lenses in contact is undefined.
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A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave likea)a converging lens of focal length 50 cmb)a diverging lens of focal length 100 cmc)a diverging lens of focal length 50 cmd)a converging lens of focal length 100cmCorrect answer is option 'D'. Can you explain this answer?
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A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave likea)a converging lens of focal length 50 cmb)a diverging lens of focal length 100 cmc)a diverging lens of focal length 50 cmd)a converging lens of focal length 100cmCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave likea)a converging lens of focal length 50 cmb)a diverging lens of focal length 100 cmc)a diverging lens of focal length 50 cmd)a converging lens of focal length 100cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave likea)a converging lens of focal length 50 cmb)a diverging lens of focal length 100 cmc)a diverging lens of focal length 50 cmd)a converging lens of focal length 100cmCorrect answer is option 'D'. Can you explain this answer?.
A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave likea)a converging lens of focal length 50 cmb)a diverging lens of focal length 100 cmc)a diverging lens of focal length 50 cmd)a converging lens of focal length 100cmCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave likea)a converging lens of focal length 50 cmb)a diverging lens of focal length 100 cmc)a diverging lens of focal length 50 cmd)a converging lens of focal length 100cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave likea)a converging lens of focal length 50 cmb)a diverging lens of focal length 100 cmc)a diverging lens of focal length 50 cmd)a converging lens of focal length 100cmCorrect answer is option 'D'. Can you explain this answer?.
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A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave likea)a converging lens of focal length 50 cmb)a diverging lens of focal length 100 cmc)a diverging lens of focal length 50 cmd)a converging lens of focal length 100cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave likea)a converging lens of focal length 50 cmb)a diverging lens of focal length 100 cmc)a diverging lens of focal length 50 cmd)a converging lens of focal length 100cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A lens of power + 2.0 D is placed in contact with another lens of power – 1.0 D. The combination will behave likea)a converging lens of focal length 50 cmb)a diverging lens of focal length 100 cmc)a diverging lens of focal length 50 cmd)a converging lens of focal length 100cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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