Final answer:
When the radio reverses the direction of current through the coil 500 times each second, the speaker cone will produce a sound with a frequency of 250 Hz.
Step-by-step explanation:
When the radio reverses the direction of current through the coil 500 times each second, it is equivalent to 250 complete cycles each second. This means that the frequency of the current is 250 Hz.
When the current in the coil changes direction, it creates a changing magnetic field. This changing magnetic field interacts with the permanent magnet in the speaker, causing the speaker cone to vibrate. The vibrations of the speaker cone produce sound waves, which we perceive as sound.
Therefore, when the radio reverses the direction of current through the coil 500 times each second, the speaker cone will produce a sound with a frequency of 250 Hz.