Golf balls and a system for finding golf balls and methods for making golf balls and methods for using such balls. In the case of one exemplary golf ball, the ball includes a shell and a core material which is encased in the shell and a tag which is disposed within the core material and which has at least one perforation. The tag includes a diode and an antenna which are coupled together. Another exemplary golf ball includes a shell and a core material which is encased within the shell and a tag which is within the core material and which includes an electrical element which is coupled to an antenna; the tag is detectable over a range of at least 20 feet from a handheld device, and the golf ball has high durability and substantially complies with the golf ball specifications of the United States Golf Association.