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(a) An object is seen through a simple microscope of focal length `12cm`. Find the angular magnification produced if the image is formed at the near point of the eye which is `25cm` away from it. (b) A `10D` lens is used as a magnifier. Where shold the object be placed to obtain maximum angular magnification for a nirmal eye (near point `= 25cm)`? |
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Answer» (a) `f = 12cm, D = 25 cm` `m = 1+(D)/(f) = 1+(25)/(12) = 3.08` (b) `P = 10 D` `f = (100)/(P) = (100)/(10) = 10 cm` For maximum angular magnification, image is formed at near point. `u =- u, v =- D =- 25 cm, f = 10 cm` `(1)/(v) - (1)/(u) = (1)/(f)` `(1)/(-25) - (1)/(-u) = (1)/(10)` `(1)/(u) = (1)/(10) +(1)/(25) = (5+2)/(50)` `u = (50)/(7) cm` |
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