Verified Solution • 2025–26 Session moderate

QJEEAdv16Ph6ddb: JEE Advanced 2016 Physics - Class 12 JEEAdv16Ph6ddb Solution: An incandescent bulb has a thin filament of tungsten that is…

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?

Multiple Choice Options

  • 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

Step-by-Step Verified Solution

Because of non-uniform evaporation at different section, area of cross-section would be different at different sections.

Region of highest evaporation rate would have rapidly reduced area and would become break up cross-section.

Resistance of the wire as whole increases with time. Overall resistance increases hence power decreases.

(p=V2R or p∝1R as V is constant).

At break up junction temperature would be highest, thus light of highest band frequency would be emitted at those cross-section.

Related Learning Resources & Exam Preparation