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Show that for refraction at a concave sp...

Show that for refraction at a concave spherical surface (separating glass-air medium), the distance of the object should be greater than three times the radius of curvature of the refracting surface for the image to be real.

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To show that for refraction at a concave spherical surface (separating glass and air), the distance of the object should be greater than three times the radius of curvature of the refracting surface for the image to be real, we can follow these steps: ### Step 1: Understand the Setup We have a concave spherical surface separating two media: glass (with refractive index \( \mu_1 \)) and air (with refractive index \( \mu_2 \)). The object is placed in the glass medium. ### Step 2: Define the Variables - Let \( R \) be the radius of curvature of the concave surface. - Let \( u \) be the object distance (measured from the surface). ...
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AAKASH INSTITUTE-RAY OPTICS AND OPTICAL INSTRUMENTS-EXAMPLE
  1. A ray of light incident on the horizontal surface of a glass slab at 7...

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  2. A concave spherical surface of radius of curvature 100 cm separates tw...

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  3. Show that for refraction at a concave spherical surface (separating gl...

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  4. A convex surface of radius of curvature 40 cm separate two media of re...

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  5. An object is placed 21 cm in front of a concave mirror of radius of cu...

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  6. A concave mirror of radius 40 cm lies on a horizontla tale and wateis ...

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

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  8. A thin lens made of glass of refractive index muu = 1.5 has a focal le...

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  9. The radius of curvature of the convex surface of a thin plano-convex l...

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  10. An equilateral glass prism is made of a material of refractive index 1...

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  11. A prism of refracting angle 4^(@) is made of a material of refractive ...

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  12. The angle of minimum deviation produced by a 60^(@) prism is 40^(@). C...

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  13. Calculate the angle of incidence on the face of a prism of refracting ...

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  14. A ray of light is incident at an angle of 60^@ on the face of a prism ...

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  15. For a ray of light refracted through a prism of angle 60^(@), the angl...

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  16. A ray of light normally on one of the faces of a right-angled isoscele...

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  17. The refractive indices of flint glass prism for violet, Yellow and Red...

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  18. Two small angled prisms A and B deviate the blue rays by 6^(@) and 8^(...

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  19. The difference between angle of minimum deviation of violet and red ra...

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  20. The focal length of a converging lens is 8 cm. Fins the magnification ...

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