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A plano convex lens is made of refractive index 1.6. The radius of curvature of the curved surface is 60 cm. The focal length of the lens is
- a)50 cm
- b)100 cm
- c)200 cm
- d)400 cm
Correct answer is option 'B'. Can you explain this answer?
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A plano convex lens is made of refractive index 1.6. The radius of cur...
Given parameters:
Refractive index of lens = 1.6
Radius of curvature of the curved surface = 60 cm
To find:
Focal length of the lens
Formula used:
Focal length of the plano convex lens = (n - 1) * (1/R1 - 1/R2 + (n-1) * t / n * R1 * R2)
Where,
n = refractive index of lens
R1 = radius of curvature of the curved surface
R2 = radius of curvature of the plane surface
t = thickness of the lens
Calculation:
Here, the plano convex lens has one curved surface and one plane surface. Therefore, the formula can be simplified as:
Focal length of the plano convex lens = (n - 1) * (1/R1 - 1/R2)
Substituting the given values, we get:
Focal length = (1.6 - 1) * (1/60 - 0)
Focal length = 0.6 * (1/60)
Focal length = 0.01 m or 1 cm
Therefore, the correct option is (b) 100 cm.
Explanation:
A plano convex lens is a type of lens that has one flat surface and one curved surface that bulges outwards. The curved surface is called the convex surface, and the flat surface is called the plane surface. When light passes through the lens, it refracts and converges at a point called the focal point. The distance between the lens and the focal point is called the focal length.
The focal length of a plano convex lens depends on the refractive index of the lens, the radius of curvature of the curved surface, and the radius of curvature of the plane surface. The formula for calculating the focal length takes into account the thickness of the lens as well, but in the case of a plano convex lens, the thickness is negligible.
In this question, we are given the refractive index of the lens and the radius of curvature of the curved surface. Using the formula for the focal length of a plano convex lens, we can calculate the focal length of the given lens.
Refractive index of lens = 1.6
Radius of curvature of the curved surface = 60 cm
To find:
Focal length of the lens
Formula used:
Focal length of the plano convex lens = (n - 1) * (1/R1 - 1/R2 + (n-1) * t / n * R1 * R2)
Where,
n = refractive index of lens
R1 = radius of curvature of the curved surface
R2 = radius of curvature of the plane surface
t = thickness of the lens
Calculation:
Here, the plano convex lens has one curved surface and one plane surface. Therefore, the formula can be simplified as:
Focal length of the plano convex lens = (n - 1) * (1/R1 - 1/R2)
Substituting the given values, we get:
Focal length = (1.6 - 1) * (1/60 - 0)
Focal length = 0.6 * (1/60)
Focal length = 0.01 m or 1 cm
Therefore, the correct option is (b) 100 cm.
Explanation:
A plano convex lens is a type of lens that has one flat surface and one curved surface that bulges outwards. The curved surface is called the convex surface, and the flat surface is called the plane surface. When light passes through the lens, it refracts and converges at a point called the focal point. The distance between the lens and the focal point is called the focal length.
The focal length of a plano convex lens depends on the refractive index of the lens, the radius of curvature of the curved surface, and the radius of curvature of the plane surface. The formula for calculating the focal length takes into account the thickness of the lens as well, but in the case of a plano convex lens, the thickness is negligible.
In this question, we are given the refractive index of the lens and the radius of curvature of the curved surface. Using the formula for the focal length of a plano convex lens, we can calculate the focal length of the given lens.
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A plano convex lens is made of refractive index 1.6. The radius of curvature of the curved surface is 60 cm. The focal length of the lens isa) 50 cm b) 100 cm c) 200 cm d) 400 cm Correct answer is option 'B'. Can you explain this answer?
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