Buzz upon stater activation: Cause: voltage variation at the buzz frequency.
The solenoid's function is to drop a big shorting bar across two hefty internal contacts, which serves to connect the battery to the starter motor.
The big bar is physically connected to a metal slug that slides inside a coil of wire. The coil and slug form an electromagnet. Pressing the starter button energizes the electromagnet, which moves the slug and thus the bar across the big contacts. The bar is held across the contacts with the strength of the electromagnet, which is directly related to the voltage applied to the solenoid electromagnet. If the voltage applied to the electromagnet becomes weak, the shorting bar disengages. If the voltage pulses, the shorting bar pulses and it makes a buzzing sound.
What makes the voltage vary at the buzz frequency? Whenever load or demand on the battery exceeds capability.
The starter motor presents more electrical demand than does the entire rest of bike. Instantaneously doubling or tripling the load on the battery.
A weak battery cannot sustain such a load and the voltage drops when the solenoid engages. The voltage drop lowers the solenoid activation voltage and it releases the shorting bar, removing the load from the battery. The voltage rises and the solenoid re-engages the starter motor. The load again drops the voltage and the cycle, oscillation, or buzz continues until there is no voltage delivered to the solenoid.
It should be noted that even a good strong battery can be forced into solenoid buzz with a starter motor defect. A defect which causes the motor to draw far more than normal current for operation, can exceed the battery's ability to deliver. Essentially, even a good strong battery behaves as a weak one when the current demand is too great. The same voltage drop occurs and the solenoid again buzzes. Different root cause, but the same buzzing sounds.
A third cause of solenoid buzz is borderline voltage delivery to the solenoid activation coil. If the distribution path between battery and solenoid have in line voltage losses, the solenoid's activation is weakened, and the added current load from the starter motor can drop the activation voltage below solid hold-in levels for the solenoid. Again a buzz can occur.
In the context of this thread, a weak battery can also cause spark issues. And an 11 volt battery reading indicates a weak, depleted battery.