Below you can see the front-view size comparison of the Sony RX1R II and Fujifilm F500 EXR. The Fujifilm F500 EXR is clearly the smaller of the two cameras. Its body is 9 mm narrower, 2 mm shorter and 39 mm thinner than the Sony RX1R II.
The chart below depicts how two cameras compare with average dimensions of the cameras in their class.