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Show that the factor ((1)/(R(1))- (1)/(R...

Show that the factor `((1)/(R_(1))- (1)/(R_(2)))` (and therefore focal length) does not depend on which surface of the lens strike first.

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To show that the factor \(\left(\frac{1}{R_1} - \frac{1}{R_2}\right)\) (and therefore the focal length) does not depend on which surface of the lens the light strikes first, we can analyze the situation using the lens maker's formula. ### Step-by-Step Solution: 1. **Understanding the Lens Maker's Formula**: The lens maker's formula is given by: \[ \frac{1}{f} = \mu_{relative} \left(\frac{1}{R_1} - \frac{1}{R_2}\right) ...
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RESONANCE ENGLISH-GEOMATRICAL OPTICS -Advance level Problems
  1. Show that the factor ((1)/(R(1))- (1)/(R(2))) (and therefore focal len...

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  2. A U-shaped wire is placed before a concave having radius of curvature ...

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

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  4. A hollow sphere of glass of refractive index mu has a small mark on it...

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  5. Two media each of refractive index 1.5 with plane parallel boundaries ...

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  6. Two converging lenses of the same focal length f are separated by a di...

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  7. Two plane mirrors makes an angle of 120^(@) with each other. The dista...

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  8. A kid of height 1.1 ft is sleeping straight between focus and centre o...

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  9. The average size of an Indian face is 24xx16 cm^(2). Find the minimum ...

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  10. As shown in Figure,. And object O is at the position (-10,2) with resp...

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  11. A point sourcs S is moving with a speed of 10 m//s in x-y plane as sho...

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  12. A man is standing at the edge of a 1m deep swimming pool, completely f...

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  13. An object lies in front if a thick parallel glass slab, the bottom of ...

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  14. A beam of parallel rays of diameter 'b' propagates in glass at an angl...

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  15. A small ball is thrown from the edge of one bank of a river of width 1...

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  16. Two concave mirrors each of focal length 'f' are placed infront of eac...

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  17. An observer observer a fish moving upwards in a cylindrical container ...

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  18. The figure shows the square face (of side 'a') of a transparent cuboid...

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  19. An insect at point 'P' sees its two images in the water mirror system ...

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  20. A ray of light is incident on a surface in a direction given by vector...

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  21. If an observer sees the bottom of the vessel shown in Figure., at 8cm,...

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