A conducting rod XY and a conducting rectangular loop ABCD are placed in infinitely wide area with homogeneous magnetic field (not changing with respect to time). They are moved perpendicularly to the magnetic field as shown below.
The induced emf in ABCD is zero because there is no changing enclosed flux. I cannot digest how the rod XY can have non zero induced emf. It is a bit counter intuitive as in my mental model both have no changing enclosed flux.