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Show that the minimum size of a plane mi...

Show that the minimum size of a plane mirror required to see the full image of an observer is half the size of that observer.

Text Solution

Verified by Experts

See the following figure. It is self explanatory if you consider lengths `'x'` and `'y'` as shown in figure.

Alter:
`Delta E M_(1) M_(2)` and `Delta E H' F'` are similar
`:. (M_(1) Mlt_(2))/(H' F') = (z)/(2z)`
or `M_(1) M_(2) = H' F'//2 = HF//2`
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RESONANCE ENGLISH-GEOMATRICAL OPTICS -Advance level Problems
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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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