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Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are μ1 and μ2 respectively, then find the magnitude of 9(μ1 - μ2). Refractive index of water is 4/3.
Correct answer is '5'. Can you explain this answer?
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Two thin symmetrical lenses of different nature have equal radii of cu...
are the focal lengths of the two lenses in water 
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Two thin symmetrical lenses of different nature have equal radii of cu...
Given:
- Radius of curvature of lenses, R = 20 cm
- Refractive index of lens 1, n1 = 1
- Refractive index of lens 2, n2 = 2
- Focal length of the lens system, f = 24 cm
- Refractive index of water, nw = 4/3
Let's analyze the problem step by step:
1. Lens formula:
The lens formula relates the focal length (f) of a lens to the object distance (u) and the image distance (v):
1/f = (n2 - n1) * (1/R1 - 1/R2)
2. Lens combination:
When two thin lenses are placed in contact, the effective focal length (f') of the combination is given by:
1/f' = (n2 - n1) * (1/f - 1/f')
3. Applying the lens formula:
Substituting the given values into the lens formula, we have:
1/24 = (2 - 1) * (1/20 - 1/20)
1/24 = (1) * (0 - 0)
1/24 = 0
4. Conclusion:
The equation 1/24 = 0 has no solution, which means the given information is inconsistent or incorrect. Therefore, it is not possible to determine the magnitude of 9(1 - 2) based on the given information.
Note: It is important to verify the problem statement and ensure that all the given information is accurate and consistent.
- Radius of curvature of lenses, R = 20 cm
- Refractive index of lens 1, n1 = 1
- Refractive index of lens 2, n2 = 2
- Focal length of the lens system, f = 24 cm
- Refractive index of water, nw = 4/3
Let's analyze the problem step by step:
1. Lens formula:
The lens formula relates the focal length (f) of a lens to the object distance (u) and the image distance (v):
1/f = (n2 - n1) * (1/R1 - 1/R2)
2. Lens combination:
When two thin lenses are placed in contact, the effective focal length (f') of the combination is given by:
1/f' = (n2 - n1) * (1/f - 1/f')
3. Applying the lens formula:
Substituting the given values into the lens formula, we have:
1/24 = (2 - 1) * (1/20 - 1/20)
1/24 = (1) * (0 - 0)
1/24 = 0
4. Conclusion:
The equation 1/24 = 0 has no solution, which means the given information is inconsistent or incorrect. Therefore, it is not possible to determine the magnitude of 9(1 - 2) based on the given information.
Note: It is important to verify the problem statement and ensure that all the given information is accurate and consistent.
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Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are 1 and 2 respectively, then find the magnitude of 9(1 - 2). Refractive index of water is 4/3. Correct answer is '5'. Can you explain this answer?
Question Description
Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are 1 and 2 respectively, then find the magnitude of 9(1 - 2). Refractive index of water is 4/3. Correct answer is '5'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are 1 and 2 respectively, then find the magnitude of 9(1 - 2). Refractive index of water is 4/3. Correct answer is '5'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are 1 and 2 respectively, then find the magnitude of 9(1 - 2). Refractive index of water is 4/3. Correct answer is '5'. Can you explain this answer?.
Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are 1 and 2 respectively, then find the magnitude of 9(1 - 2). Refractive index of water is 4/3. Correct answer is '5'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are 1 and 2 respectively, then find the magnitude of 9(1 - 2). Refractive index of water is 4/3. Correct answer is '5'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are 1 and 2 respectively, then find the magnitude of 9(1 - 2). Refractive index of water is 4/3. Correct answer is '5'. Can you explain this answer?.
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Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are 1 and 2 respectively, then find the magnitude of 9(1 - 2). Refractive index of water is 4/3. Correct answer is '5'. Can you explain this answer?, a detailed solution for Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are 1 and 2 respectively, then find the magnitude of 9(1 - 2). Refractive index of water is 4/3. Correct answer is '5'. Can you explain this answer? has been provided alongside types of Two thin symmetrical lenses of different nature have equal radii of curvature R = 20 cm. The lenses are placed in contact and then immersed in water. The focal length of the system is found to be 24 cm. If the refractive indices of the two lenses are 1 and 2 respectively, then find the magnitude of 9(1 - 2). Refractive index of water is 4/3. Correct answer is '5'. Can you explain this answer? theory, EduRev gives you an
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