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A combination of two thin convex lenses of equal focal lengths is kept separated along the optic axes by a distance of 20 cm between them. The combination behaves as a lens system of infinite focal length. If an object is kept at 10 cm from the first lens. Its image will be formed on the other side at a distance x from the second lens. The value of x is
- a)10 cm
- b)20 cm
- c)6.67 cm
- d)infinite
Correct answer is option 'A'. Can you explain this answer?
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A combination of two thin convex lenses of equal focal lengths is kept...
for first lens
for second lens u = ∝
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A combination of two thin convex lenses of equal focal lengths is kept...
Given:
- Two thin convex lenses
- Equal focal lengths
- Separated by a distance of 20 cm
- Behaves as a lens system of infinite focal length
To determine the distance x at which the image is formed from the second lens, we need to analyze the lens system and apply the lens formula.
1. Lens formula for a single lens:
The lens formula relates the object distance (u), image distance (v), and focal length (f) of a lens.
1/f = 1/v - 1/u
2. Focal length of the lens system:
Since the combination of lenses behaves as a lens system with an infinite focal length, 1/f = 0.
Thus, the focal length of the lens system is infinite.
3. Object distance from the first lens:
The object is kept at a distance of 10 cm from the first lens (u = -10 cm).
(Note: The negative sign indicates that the object is on the same side as the incident light.)
4. Image distance from the second lens:
Let's assume the image distance from the second lens is v2.
5. Image distance from the first lens:
Using the lens formula for the first lens, we can find the image distance from the first lens (v1).
1/f1 = 1/v1 - 1/u
Since the lens system behaves as a lens of infinite focal length, the first lens acts as if it has a focal length of infinity.
Therefore, 1/f1 = 0.
Thus, v1 = -u = -(-10) = 10 cm.
6. Image distance from the second lens:
Since the lenses are separated by a distance of 20 cm, the image formed by the first lens is located 20 cm away from the second lens.
Hence, the object distance for the second lens (u2) is 20 cm.
Using the lens formula for the second lens:
1/f2 = 1/v2 - 1/u2
Since the lens system behaves as a lens of infinite focal length, the second lens also acts as if it has a focal length of infinity.
Therefore, 1/f2 = 0.
Thus, v2 = -u2 = -(20) = -20 cm.
7. Value of x:
The distance x is the distance of the image formed by the second lens from the second lens itself.
Since the image distance (v2) from the second lens is -20 cm, the value of x is also 20 cm.
Hence, the correct answer is option 'A' - 10 cm.
- Two thin convex lenses
- Equal focal lengths
- Separated by a distance of 20 cm
- Behaves as a lens system of infinite focal length
To determine the distance x at which the image is formed from the second lens, we need to analyze the lens system and apply the lens formula.
1. Lens formula for a single lens:
The lens formula relates the object distance (u), image distance (v), and focal length (f) of a lens.
1/f = 1/v - 1/u
2. Focal length of the lens system:
Since the combination of lenses behaves as a lens system with an infinite focal length, 1/f = 0.
Thus, the focal length of the lens system is infinite.
3. Object distance from the first lens:
The object is kept at a distance of 10 cm from the first lens (u = -10 cm).
(Note: The negative sign indicates that the object is on the same side as the incident light.)
4. Image distance from the second lens:
Let's assume the image distance from the second lens is v2.
5. Image distance from the first lens:
Using the lens formula for the first lens, we can find the image distance from the first lens (v1).
1/f1 = 1/v1 - 1/u
Since the lens system behaves as a lens of infinite focal length, the first lens acts as if it has a focal length of infinity.
Therefore, 1/f1 = 0.
Thus, v1 = -u = -(-10) = 10 cm.
6. Image distance from the second lens:
Since the lenses are separated by a distance of 20 cm, the image formed by the first lens is located 20 cm away from the second lens.
Hence, the object distance for the second lens (u2) is 20 cm.
Using the lens formula for the second lens:
1/f2 = 1/v2 - 1/u2
Since the lens system behaves as a lens of infinite focal length, the second lens also acts as if it has a focal length of infinity.
Therefore, 1/f2 = 0.
Thus, v2 = -u2 = -(20) = -20 cm.
7. Value of x:
The distance x is the distance of the image formed by the second lens from the second lens itself.
Since the image distance (v2) from the second lens is -20 cm, the value of x is also 20 cm.
Hence, the correct answer is option 'A' - 10 cm.
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A combination of two thin convex lenses of equal focal lengths is kept separated along the optic axes by a distance of 20 cm between them. The combination behaves as a lens system of infinite focal length. If an object is kept at 10 cm from the first lens. Its image will be formed on the other side at a distance x from the second lens. The value of x isa)10 cmb)20 cmc)6.67 cmd)infiniteCorrect answer is option 'A'. Can you explain this answer?
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A combination of two thin convex lenses of equal focal lengths is kept separated along the optic axes by a distance of 20 cm between them. The combination behaves as a lens system of infinite focal length. If an object is kept at 10 cm from the first lens. Its image will be formed on the other side at a distance x from the second lens. The value of x isa)10 cmb)20 cmc)6.67 cmd)infiniteCorrect answer is option 'A'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A combination of two thin convex lenses of equal focal lengths is kept separated along the optic axes by a distance of 20 cm between them. The combination behaves as a lens system of infinite focal length. If an object is kept at 10 cm from the first lens. Its image will be formed on the other side at a distance x from the second lens. The value of x isa)10 cmb)20 cmc)6.67 cmd)infiniteCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A combination of two thin convex lenses of equal focal lengths is kept separated along the optic axes by a distance of 20 cm between them. The combination behaves as a lens system of infinite focal length. If an object is kept at 10 cm from the first lens. Its image will be formed on the other side at a distance x from the second lens. The value of x isa)10 cmb)20 cmc)6.67 cmd)infiniteCorrect answer is option 'A'. Can you explain this answer?.
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