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An object 5 cm in length is held 25 cm away a converging lens of focal length 10 cm. Draw the ray diagram and find the position, size and nature of the image formed. |
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Answer» Solution :`{:("Concave lens",,),(f=+10 cm,h=+5cm,h.=?),(,u=-25 cm,v=?),(,,"Nature of image = Erect"):}` Lens FORMULA `(L)/(v)-(l)/(u)=(l)/(f)` `(l)/(v)-(l)/((-25))=(l)/(10), (l)/(v)-(l)/(10)-(l)/(25), (l)/(v)=(15)/(250)` `v=+16.67 cm` The image is formed at a distance of 16.67 cm on the right SIDE of the convex lens (+ sign signifies this) Magnification `m=(v)/(u)=(h.)/(h)` `m=((16.67))/((-25))=(h)/(5), -0.67=(h.)/(5), "" h.=-3.35 cm` The image formed (h.) has a height of 3.35 cm which is less than object height (h). The image formed is diminished. h. has a-ve sign which INDICATES that the image formed is real and INVERTED.
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