If 50 identical light bulbs are connected in series across a single power source, then the voltage across each bulb is ( 1/50 ) of the voltage delivered by the power source.
Presuming that this tree is connected into a mains power source in the UK. The total output of the UK mains source is 230V. So if we share this voltage equally between 50 bulbs: 230 V ÷ 50 = 4.6 V
I'm not 100 per cent sure this is correct though and different countries may have different mains power supplies. Hope it helps anyway.
EDIT: This also does not take into account resistance in the bulbs and wires but is all I can tell you from the information provided in the question.
In a series circuit with 50 bulbs, the voltage across each bulb is calculated by dividing the total voltage by 50. Thus, each bulb receives V b u l b = 50 V . This means if the total voltage is known, it can be easily calculated per bulb.
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