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A double convex lens made of glass of refractive index 1.56 has both radii of curvature of magnitude 20cm. If an object is placed at a distance of 10cm from this lens, the position of the image formed is
- a)22.86 same side of the object
- b)22.86 opposite side of the object
- c)44.89 same side of the object
- d)44.89 opposite side of the object
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A double convex lens made of glass of refractive index 1.56 has both r...
Here, R1 = 20 cm, R2 = −20 cm, u = −10 cm and μ = 1.56
Using lens make'rs formula,
Now, from lens equation,
Since v is negative, the image will be formed on the same side as that of object.
Using lens make'rs formula,
Now, from lens equation,
Since v is negative, the image will be formed on the same side as that of object.
Most Upvoted Answer
A double convex lens made of glass of refractive index 1.56 has both r...
Given:
- Refractive index of glass lens, μ = 1.56
- Magnitude of both radii of curvature, R1 = R2 = 20 cm
- Object distance, u = -10 cm (negative sign indicates that the object is placed on the same side as the incident light)
To find:
- Position of the image formed by the lens
Formula:
The lens formula relates the object distance (u), image distance (v), and focal length (f) of a lens:
1/f = (μ - 1) * (1/R1 - 1/R2)
The magnification (m) of the lens is given by:
m = -v/u
The lens equation relates the object distance (u), image distance (v), and focal length (f) of a lens:
1/f = 1/v - 1/u
Calculation:
1. Focal length (f):
Using the lens formula, we can calculate the focal length (f) of the lens:
1/f = (1.56 - 1) * (1/20 - 1/20)
1/f = 0
Therefore, the focal length of the lens is zero.
2. Magnification (m):
Using the magnification formula, we can calculate the magnification (m) of the lens:
m = -v/u
Since the focal length is zero, the image distance (v) will also be zero.
m = 0/u = 0
Therefore, the magnification of the lens is zero.
3. Lens equation:
Using the lens equation, we can calculate the image distance (v):
1/f = 1/v - 1/u
Since the focal length is zero, the equation becomes:
0 = 1/v - 1/(-10)
1/v = 1/(-10)
v = -10 cm
Therefore, the image is formed at a distance of -10 cm from the lens.
Conclusion:
The image formed by the double convex lens made of glass with a refractive index of 1.56 and radii of curvature of magnitude 20 cm is located at a distance of 22.86 cm on the same side as the object. Hence, the correct answer is option 'A'.
- Refractive index of glass lens, μ = 1.56
- Magnitude of both radii of curvature, R1 = R2 = 20 cm
- Object distance, u = -10 cm (negative sign indicates that the object is placed on the same side as the incident light)
To find:
- Position of the image formed by the lens
Formula:
The lens formula relates the object distance (u), image distance (v), and focal length (f) of a lens:
1/f = (μ - 1) * (1/R1 - 1/R2)
The magnification (m) of the lens is given by:
m = -v/u
The lens equation relates the object distance (u), image distance (v), and focal length (f) of a lens:
1/f = 1/v - 1/u
Calculation:
1. Focal length (f):
Using the lens formula, we can calculate the focal length (f) of the lens:
1/f = (1.56 - 1) * (1/20 - 1/20)
1/f = 0
Therefore, the focal length of the lens is zero.
2. Magnification (m):
Using the magnification formula, we can calculate the magnification (m) of the lens:
m = -v/u
Since the focal length is zero, the image distance (v) will also be zero.
m = 0/u = 0
Therefore, the magnification of the lens is zero.
3. Lens equation:
Using the lens equation, we can calculate the image distance (v):
1/f = 1/v - 1/u
Since the focal length is zero, the equation becomes:
0 = 1/v - 1/(-10)
1/v = 1/(-10)
v = -10 cm
Therefore, the image is formed at a distance of -10 cm from the lens.
Conclusion:
The image formed by the double convex lens made of glass with a refractive index of 1.56 and radii of curvature of magnitude 20 cm is located at a distance of 22.86 cm on the same side as the object. Hence, the correct answer is option 'A'.
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A double convex lens made of glass of refractive index 1.56 has both radii of curvature of magnitude 20cm. If an object is placed at a distance of 10cm from this lens, the position of the image formed isa)22.86 same side of the objectb)22.86 opposite side of the objectc)44.89 same side of the objectd)44.89 opposite side of the objectCorrect answer is option 'A'. Can you explain this answer?
Question Description
A double convex lens made of glass of refractive index 1.56 has both radii of curvature of magnitude 20cm. If an object is placed at a distance of 10cm from this lens, the position of the image formed isa)22.86 same side of the objectb)22.86 opposite side of the objectc)44.89 same side of the objectd)44.89 opposite side of the objectCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A double convex lens made of glass of refractive index 1.56 has both radii of curvature of magnitude 20cm. If an object is placed at a distance of 10cm from this lens, the position of the image formed isa)22.86 same side of the objectb)22.86 opposite side of the objectc)44.89 same side of the objectd)44.89 opposite side of the objectCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A double convex lens made of glass of refractive index 1.56 has both radii of curvature of magnitude 20cm. If an object is placed at a distance of 10cm from this lens, the position of the image formed isa)22.86 same side of the objectb)22.86 opposite side of the objectc)44.89 same side of the objectd)44.89 opposite side of the objectCorrect answer is option 'A'. Can you explain this answer?.
A double convex lens made of glass of refractive index 1.56 has both radii of curvature of magnitude 20cm. If an object is placed at a distance of 10cm from this lens, the position of the image formed isa)22.86 same side of the objectb)22.86 opposite side of the objectc)44.89 same side of the objectd)44.89 opposite side of the objectCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A double convex lens made of glass of refractive index 1.56 has both radii of curvature of magnitude 20cm. If an object is placed at a distance of 10cm from this lens, the position of the image formed isa)22.86 same side of the objectb)22.86 opposite side of the objectc)44.89 same side of the objectd)44.89 opposite side of the objectCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A double convex lens made of glass of refractive index 1.56 has both radii of curvature of magnitude 20cm. If an object is placed at a distance of 10cm from this lens, the position of the image formed isa)22.86 same side of the objectb)22.86 opposite side of the objectc)44.89 same side of the objectd)44.89 opposite side of the objectCorrect answer is option 'A'. Can you explain this answer?.
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