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A parallel incident beam falls on a sol...

A parallel incident beam falls on a solid glass sphere at normal incidenc. Prove that the distance of the fianll image after two refractions is at a distance `(2-mu)//2(mu-1)a` from the outer edge of the sphere. Refractive index of the sphere is `mu` and radius of the sphere is a.

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To solve the problem, we need to analyze the refraction of light as it passes through a solid glass sphere. We will apply the lens maker's formula and the principles of refraction at spherical surfaces. ### Step-by-Step Solution: 1. **Identify the Parameters:** - Refractive index of the sphere: \( \mu \) - Radius of the sphere: \( a \) - The incident beam is parallel and falls at normal incidence. ...
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CENGAGE PHYSICS ENGLISH-GEOMETRICAL OPTICS-Exercise1.5
  1. A lens(n=1.5) is 5cm thick and the radii of curvature of its object is...

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  2. A spherical surface of radius R ssparates two media of refractive indi...

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  3. A sphere of radius R made of material of refractive index mu(2) is pla...

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  4. A small object of height 0.5 cm is placed in front of a convex surface...

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  5. An object of height 1mm is placed inside a sphere of refractive index ...

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  6. A ray of light on a transparent sphere with centre C as shown in the f...

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  7. A glass sphere, refractive index 1.5 and radius 10cm, has a spherical ...

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  8. One end of a horizontal cylindrical glass rod (mu=1.5) of radius 5.0 c...

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  9. There is small air bubble inside a glass sphere (mu=1.5) of radius 10 ...

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  10. Figure shows a transparent hemisphere of radius 3.0 cm made of a mate...

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  11. A small object is embedded in a glass sphere (mu =1.5) of radius 5.0 c...

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  12. A paperweight in the form of a hemisphere of radius 3.0 cm is used to ...

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  13. Find the image shift if the paperweight is inverted at its place so th...

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  14. A spherical surface of radius 30 cm separates two transparent media A ...

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  15. A point object is above the principal axis in the concave side of a sp...

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  16. A solid hemispherical bowl of radius R, made of glass, is placed on a ...

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  17. A small air bubble in a sphere of glass with radius 4 cm appears to be...

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  18. A horizontal ray of light is incident on a solid glass sphere of radi...

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  19. A converging bundle of rays travel from water (refractive index 4//3 ...

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  20. A parallel incident beam falls on a solid glass sphere at normal inci...

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