The current flowing through a lamp marked as $50\, W$ and $250\, V$ is ............. $amp$.

  • A
    $5$
  • B
    $2.5$
  • C
    $2$
  • D
    $0.2$

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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
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