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Ask yourself what is switch mode and how does it work? It switches on for a time and off for a time and the ratio between on and off is what controls the power and in the main the volts output. There is a minimum time it can be on for and once that point is reached it can't control the voltage. By having a small internal load that is switched on when the external load is not large enough then it's possible to get to zero or use other means to get around the problem, but standard switch mode without some extra circuitry can't start at zero there has to be a lower limit although that limit can be very low.Are you sure about that ?minimum load problems. It is only the high frequency AC supplies used for halogen lights that have this problem.
Yes.
Using a high impedance volt meter many switch mode power supplies will show zero volts with no load.