I thought that if you turned off your radio when a song was on, the song would stop until you turned the radio back on. (And start where it left off) :-)
A childhood belief about radio

others believed things like this
- i used to believe that if you were a kid and u turned the radio on in your car then the car would blow up— steph
- I used to think that when Dad turned the radio up in the car the artist was made to sing louder!!— Sparks
- I used to believe that when a song came on the car radio, the band was sitting on top of our van.Anon
- I used to think that when a song finished on the radio it would play again on the next station— Maria
- I used to believe the Metallica song "Trapped Under Ice" said "I turned down the rice."— Erik Z.
- I swear I heard a Disney Channel/Radio Disney song where the chorus was a repeated “Damn it”— SpengBab