For "mid Q-point", I think the OP means that the quiescent point of the transistor is in the middle of the potential range.
You can also look at Class D, if you want to add a lot of complexity but improve the efficiency dramatically.
http://www.irf.com/technical-info/appnotes/an-1071.pdf
Yes.1) If amplifier is low efficient it means it would dissipate more heat. If amplifier is more efficient then it would dissipate less heat.
The problem with class B is crossover distortion. See here: https://en.wikipedia.org/wiki/Crossover_distortion2) If amplifier Q-point (quiescent point or operating point) is near to cutoff like class C, this means it will be more noisy, it will generate noisy sound at output. Similarly if amplifier Q-point is in the middle of the potential range like class A then it will not create noise at the sound at output?
About point 2 I am just asking that what effect does distortion do at output i.e. what type of sound I would hear due to distortion? will it contain noise?
and also can an amplifier catch noise from environment?
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