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refraction due to curved surface questions with solutions
Practice Geometrical optics for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.
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- MCQmediumGeometrical optics
Q41. A spherical refracting interface of radius R separates media of refractive indices n₁ = 1 and n₂ = 1.4, as shown in the figure. A point object is placed 4R in front of the interface in the n₁ medium. What is the magnitude of the lateral magnification of the image formed by the spherical interface?
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JEE Mains 2026 6 April Morning Shift
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An object of height 2 cm is placed in air 40 cm to the left of the pole P of a spherical refracting surface. The centre of curvature lies 20 cm to the left of P. The refractive index is 1 on the object side and 1.54 on the other side. What is the approximate height of the image?
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JEE Mains 2026 2 April Morning Shift
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Light from a point source in air falls on a spherical glass surface of refractive index 1.5 and radius of curvature 50 cm. The image is formed 200 cm from the glass surface inside the glass. Find the magnitude of the object distance from the surface in metres.
JEE Mains 2025 3 April Evening Shift
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A spherical surface separates two media of refractive indices 1 and 1.5 as shown in the original figure. The object is 0.2 m to the left of the surface and the centre of curvature is 0.4 m to the right of the surface. The image is formed at:
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JEE Mains 2025 2 April Morning Shift
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Two objects are at equal distances from opposite surfaces of a transparent sphere of radius R and re index μ, such that the image of one object is formed on the other. The object distance from the surface is:
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JEE Mains 2025 23 Jan Morning Shift
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An ice cube has a bubble inside. Viewed from one side, the apparent distance of the bubble is 12 cm. Viewed from the opposite side, the apparent distance is 4 cm. If the side of the cube is 24 cm, the refractive index of ice is:
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JEE Mains12 April 2023Shift 1Morning Shift
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Light from a point source in air falls on a convex curved surface of radius 20 cm and refractive index 1.5. If the source is located at 100 cm from the convex surface, the image will be formed at____ cm from the object.
JEE Mains 2024 31 Jan Evening Shift
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A parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius of curvature 50 cm. Refractive index of glass is 1.5. The rays converge to a point at a distance x cm from the centre of the curvature of the spherical surface. The value of x is ____ cm.
JEE Mains 202622 January Morning Shift
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At a spherical refractive interface, an object in medium μ₁=1.3 is 13 cm from the surface and forms a real image in medium μ₂=1.4 that is twice in size. The radius of curvature is:
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JEE Mains 2025 29 Jan Evening Shift
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