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Can anyone help me on this? its my last problem and its duein an hour.... Find t

ID: 1744347 • Letter: C

Question

Can anyone help me on this? its my last problem and its duein an hour....
Find the object distances (in terms of f) for athin converging lens of focal length f for thefollowing conditions: (a) The image is real and the image distance is three times the focal length.
p = f

(b) The image is virtual and the image distanceis four times the focallength.
p = f

(c) Calculate the magnification of the lens for cases (a) and(b).
In case (a): M =
In case (b): M =

Find the object distances (in terms of f) for athin converging lens of focal length f for thefollowing conditions: (a) The image is real and the image distance is three times the focal length.
p = f

(b) The image is virtual and the image distanceis four times the focallength.
p = f

(c) Calculate the magnification of the lens for cases (a) and(b).
In case (a): M =
In case (b): M =
(a) The image is real and the image distance is three times the focal length.
p = f

(b) The image is virtual and the image distanceis four times the focallength.
p = f

(c) Calculate the magnification of the lens for cases (a) and(b).
In case (a): M =
In case (b): M =

Explanation / Answer

Given : a ) The image is real and the image distanceis three times the focallength                   q = 3f         1/p + 1/q =1/f       1/p = 1/f - 1/3f       p =    3f /2   and M = -3f * 2 / 3f                               M = -2     b ) The image is virtual and the imagedistance is four times thefocal length.                    q = -4f                   1/p + 1/q = 1/f              1/p = 1/f + 1/4f              1/p = 1/f + 1/4f              1/p = 5f / 4               p = 4/5f         M = -(-4f ) *5 / 4f         M = 5     I hope it helps you