Light bulb and "Mr. Switch"

The task is not on an IT topic, but it does not go far beyond the school / university program.

Nearby are a light bulb and a switch that turns the light bulb on and off. The conductor from the bulb to the switch is very long, and its length is 10 light minutes. For simplicity, we assume that the attenuation in the conductor does not occur, the conditions - ideal.

Attention ... question! What happens to a light bulb if you turn on the power for 3 minutes and then turn it off?
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Caution! Below is the answer to the problem!


UPD. As promised, I post the answer. I thought about how to present information, whether to begin with a lengthy lecture on free electrons and conductors. I suggest to look at visual visualization:
http://falstad.com/circuit/e-tl.html (java support required)
The line is completely consistent, the parameters differ from those specified in the task, but everything is clear. The line parameters can be changed via the right-click menu. Through this menu, you can also open the circuit in real time.

The most accurate answer was given by yasonby . I will not bring it literally, maybe someone else wants to think.