Geometrical OpticsHard

Question

A student wants to set up an experiment with a thin convex lens of focal length f such that a thin real object produces a focused real image on a movable screen. At how many locations along the optical axis (principal axis) can the object be placed so that the distance between the object and the focused image on the screen is equal to 3f ?

Options

A.There is no location
B.There is exactly one location
C.There are exactly two locations
D.There are exactly four locations

Solution

         
m = , u = f + x
u = (f + x)
u + v = 3f
f + x + (f + x) = 3f
By solving above equation we do not get any real value of x.

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