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A converging lens of focal length 15 cm ...

A converging lens of focal length 15 cm and a converging mirror of focal length 10 cm are placed 50 cm apart. If a pin of length 2.0 cm is placed 30 cm from the lens farther away from the mirror, where will the final image form and what will be the size of the final image ?

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Image by lens: The object is placed at 2F. The image is inverted and formed at distance 30 cm on the other side and of same size.
Image by mirror: `I_1` behaves as object for mirror and it is placed at centre of curvature of mirror. Image is reversed and formed at the same place.
Again by lens: Image of `I_2` if formed at `O`, inverted and same size. Final image is inverted, same size and formed on `O` itself.
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CP SINGH-REFRACTION AT SPHERICAL SURFACES-EXERCISES
  1. A converging lens of focal length 15 cm and a converging mirror of foc...

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  2. An object O is stuck on the surface of a transparent solid spher of ra...

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  3. A poinit object O is placed in front of a glass rod having spherical e...

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  4. A point object O is kept at a distance OP=u The radius of curvature of...

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  5. A spherical surface of radius of curvature R separates air (refractive...

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  6. Figure shows figure three transparent medi of refractive indices mu1, ...

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  7. A glass hemisphere of radius 0.04 m and refractive index of the materi...

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  8. A small air bubble in a glass sphere of radius 2 cm appears to be 1 cm...

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  9. A ray of light falls on the surface of a spherical glass paper weight ...

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  10. Focal length of a convex lense in air is 10cm. Find its focal length...

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

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  12. A convex lens of glass has power P in air. If it is immersed in water ...

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  13. A concave lens of glass, refractive index 1.5 has both surfaces of sam...

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  14. In figure, an air lens of radius of curvature of each surface equal to...

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  15. A thin convergent glass lens (mug=1.5) has a power of +5.0D. When this...

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  16. A hollow double concave lens is made of very thin transparent material...

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  17. The ray diagram could be correct

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  18. A lens of refractive index n is put in a liquid of refractive index n'...

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  19. A convex lens is dipped in a liquid whose refractive index is equal to...

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  20. Four lenses are made from the same type of glass, the radius of curvat...

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  21. An equi-convex glass lens with radius of each face as R is placed in a...

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