Answer :

Given:


(a) Focal length of the magnifying glass, f = 5 cm


Distance vision has the least distance, d = 25 cm


Closest object distance = u


Image distance, v = -d = -25 cm


Applying the lens formula we have:


…(1)


Where, f0 = focal length of the objective lens


v0 = Distance of image formation


u0 = Distance of object from objective



u = -25/6


u = 4.16 cm


Hence, the closest distance at which the person can read the book is 4.167 cm.


For the object at the longest distance (u’), the image distance (v’) = ∞


Again using equation (1), we get,



By solving the above equation we get,


u = – 1/5


Therefore, u’ = -5 cm


Hence, the farthest distance at which the person can read the book is 5 cm.


(b) Maximum angular magnification is given by the relation:


αmax = d/|u′|


= 25/5


= 5


Hence the maximum magnification is 5.


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