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Two concavo and convex lenses having focal lengths of 30 m and 60 m are placed one beside the other.The effective focal length is (A)30 m (B)60 m (C) 20 m (D)none of the above?
Most Upvoted Answer
Two concavo and convex lenses having focal lengths of 30 m and 60 m ar...
Solution:
When we place two lenses in contact with each other, their effective focal length can be calculated using the lens formula:
1/f = 1/f1 + 1/f2 - d/f1f2
Where f is the effective focal length, f1 and f2 are the focal lengths of the two lenses, and d is the distance between the two lenses.
In this case, we have a concave lens with a focal length of -30 m and a convex lens with a focal length of +60 m. When these lenses are placed in contact with each other, their distance is zero.
So, the formula becomes:
1/f = 1/-30 + 1/60 - 0/(-30 * 60)
Simplifying this equation, we get:
1/f = -1/60
Or,
f = -60 m
This means that the effective focal length of the two lenses in contact is -60 m. Since a negative focal length indicates a diverging lens, we can say that the combination of these two lenses acts as a diverging lens with an effective focal length of 60 m.
Therefore, the correct answer is (D) none of the above.
Summary:
- We can calculate the effective focal length of two lenses in contact using the lens formula.
- The combination of a concave lens with a focal length of -30 m and a convex lens with a focal length of +60 m, placed in contact with each other, acts as a diverging lens with an effective focal length of -60 m.
- The correct answer is (D) none of the above.
When we place two lenses in contact with each other, their effective focal length can be calculated using the lens formula:
1/f = 1/f1 + 1/f2 - d/f1f2
Where f is the effective focal length, f1 and f2 are the focal lengths of the two lenses, and d is the distance between the two lenses.
In this case, we have a concave lens with a focal length of -30 m and a convex lens with a focal length of +60 m. When these lenses are placed in contact with each other, their distance is zero.
So, the formula becomes:
1/f = 1/-30 + 1/60 - 0/(-30 * 60)
Simplifying this equation, we get:
1/f = -1/60
Or,
f = -60 m
This means that the effective focal length of the two lenses in contact is -60 m. Since a negative focal length indicates a diverging lens, we can say that the combination of these two lenses acts as a diverging lens with an effective focal length of 60 m.
Therefore, the correct answer is (D) none of the above.
Summary:
- We can calculate the effective focal length of two lenses in contact using the lens formula.
- The combination of a concave lens with a focal length of -30 m and a convex lens with a focal length of +60 m, placed in contact with each other, acts as a diverging lens with an effective focal length of -60 m.
- The correct answer is (D) none of the above.
Community Answer
Two concavo and convex lenses having focal lengths of 30 m and 60 m ar...
1/ f1- 1/f2 = 1/fnet.. =60cm
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Two concavo and convex lenses having focal lengths of 30 m and 60 m are placed one beside the other.The effective focal length is (A)30 m (B)60 m (C) 20 m (D)none of the above?
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Two concavo and convex lenses having focal lengths of 30 m and 60 m are placed one beside the other.The effective focal length is (A)30 m (B)60 m (C) 20 m (D)none of the above? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two concavo and convex lenses having focal lengths of 30 m and 60 m are placed one beside the other.The effective focal length is (A)30 m (B)60 m (C) 20 m (D)none of the above? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two concavo and convex lenses having focal lengths of 30 m and 60 m are placed one beside the other.The effective focal length is (A)30 m (B)60 m (C) 20 m (D)none of the above?.
Two concavo and convex lenses having focal lengths of 30 m and 60 m are placed one beside the other.The effective focal length is (A)30 m (B)60 m (C) 20 m (D)none of the above? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two concavo and convex lenses having focal lengths of 30 m and 60 m are placed one beside the other.The effective focal length is (A)30 m (B)60 m (C) 20 m (D)none of the above? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two concavo and convex lenses having focal lengths of 30 m and 60 m are placed one beside the other.The effective focal length is (A)30 m (B)60 m (C) 20 m (D)none of the above?.
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