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A spherical surface of radius R ssparate...

A spherical surface of radius R ssparates two media of refractive indices `mu_(1)` and `mu_(1)` as shown in figure., Where should an object be placed in medium 1 so that a real image is formed in medium 2 at the same distance?

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Let x be the distance of the object from the pole in medium 1.
Here we have , `u=-x, v=+x and R=+R`
Using the equation, we get `(mu_(2))/(+x)-(mu_(1))/(-x) =(mu_(2)-mu_(1))/(+R)`
or `x=((mu_(2)+mu_(1))/(mu_(2)-mu_(1)))R`
Note that the real image is formed only when `mu_(2) gt mu_(1)` .
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CENGAGE PHYSICS-GEOMETRICAL OPTICS-Exercise1.5
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  3. A spherical surface of radius R ssparates two media of refractive indi...

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

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

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

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  7. A ray of light falls on a transparent sphere with centre at C as shown...

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

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  9. One end of a horizontal cylindrical glass rod (mu=1.5) of radius 0.5 ...

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

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  11. Figure shows a transparent hemisphere of radius 3'0 cm made of a mate...

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  12. A small object is embedded in a glass sphere (mu-1.5) of radius 5.0cm ...

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  13. A paperweight in the form of a hemisphere of radius 3 cm is used to ho...

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  14. Solve the previous problem if the paperweight is inverted at its palce...

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

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

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

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

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

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

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