u > 2f > f
u < f < 2f
u = f < 2f
f < u < 2f
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This myschool explanation is brief but not self explanatory thereby creating confusion.

In a projection lantern with a focal length (f), the object distance (u) is such that:
[ u < f < 2f ]
This means that the object distance (u) is less than the focal length (f) but greater than half of the focal length. In other words, the object is positioned between the focal point and twice the focal length away from the lens.

In a projection lantern with a focal length (f), the object distance (u) is such that:
[ u < f < 2f ]
This means that the object distance (u) is less than the focal length (f) but greater than half of the focal length. In other words, the object is positioned between the focal point and twice the focal length away from the lens.
So B is the correct option



