An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current. The hot filament emits black-body radiation. The filament is observed to break up at random locations after a sufficiently long time of operation due to non-uniform evaporation of tungsten from the filament. If the bulb is powered at constant voltage, which of the following statement($s$) is(are) true?
($A$) The temperature distribution over the filament is uniform
($B$) The resistance over small sections of the filament decreases with time
($C$) The filament emits more light at higher band of frequencies before it breaks up
($D$) The filament consumes less electrical power towards the end of the life of the bulb
IIT 2016, Diffcult
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