Pacinian corpuscles are sensitive to high-frequency vibrations and may need further distance for detection because of their deeper location in the skin, while Meissner's corpuscles, located closer to the surface, are sensitive to light touch and might not require as much distance.
Pacinian corpuscles are sensitive to high frequency vibrations and potentially need the rod to be thrown further to detect such stimuli due to their location deep in the dermis. On the other hand, Meissner's corpuscles are sensitive to light touch, which is a lower frequency stimulus; therefore, the rod may not need to be thrown as far to be detected by them, as they are located in the more upper parts of the skin.
Merkel's disks and Meissner's corpuscles are indeed found in more upper parts of the skin and detect fine touch. Pacinian corpuscles and Ruffini endings, however, are found deeper and are able to sense deeper touch, such as deeper pressure and high-frequency vibration. Pacinian corpuscles, specifically, are rapidly adapting mechanoreceptors that can detect deep transient pressure as well as high-frequency vibration, indicating their responsiveness to more intense physical disturbances. This information correlates with the place theory of pitch detection, where different frequencies stimulate different parts of the basilar membrane, with higher frequencies requiring a more intense stimulus.