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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
  • 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
Correct answer is option 'C,D'. Can you explain this answer?
Verified Answer
An incandescent bulb has a thin filament of tungsten that is heated to...
When filament breaks up, the temperature of filament will be higher so according to wein’s law
, the filament emits more light at higher band of frequencies. As voltage is constant, so consumed electrical power is P=V2/R 
As R increases with increase in temperature so the filament consumes less electrical power towards the end of the life of the bulb.
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An incandescent bulb has a thin filament of tungsten that is heated to...
Temperature distribution over the filament is uniform:
The statement a) is false. In an incandescent bulb, the filament is heated to a high temperature by passing an electric current. However, due to various factors such as heat conduction and radiation losses, the temperature distribution over the filament is not uniform. Some regions of the filament may be hotter than others, leading to non-uniform evaporation of tungsten and eventual breakage.

Resistance over small sections of the filament decreases with time:
The statement b) is false. As the filament in the incandescent bulb operates over a long period of time, it undergoes evaporation, resulting in a decrease in its mass. The decrease in mass leads to an increase in resistance, as resistance is directly proportional to the length and inversely proportional to the cross-sectional area of the filament. Therefore, the resistance over small sections of the filament increases with time, rather than decreases.

Filament emits more light at higher band of frequencies before it breaks up:
The statement c) is true. The hot filament in an incandescent bulb emits black-body radiation, which is a continuous spectrum of light. According to Planck's law, the intensity of radiation emitted by a black body is directly proportional to the temperature and the frequency of the emitted radiation. As the filament temperature increases, it emits more light at higher frequencies (shorter wavelengths). Therefore, before the filament breaks up due to non-uniform evaporation, it tends to emit more light at higher frequencies.

Filament consumes less electrical power towards the end of the life of the bulb:
The statement d) is true. As the filament in an incandescent bulb undergoes evaporation and loses mass, its resistance increases. According to Ohm's law, for a constant voltage, an increase in resistance leads to a decrease in current. Since electrical power is given by the equation P = IV, where P is power, I is current, and V is voltage, a decrease in current results in a decrease in power consumption by the filament. Therefore, the filament consumes less electrical power towards the end of the life of the bulb.
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An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing anelectric current. The hot filament emits black-body radiation. The filament is observed to break up atrandom locations after a sufficiently long time of operation due to non-uniform evaporation of tungstenfrom 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 uniformb)The resistance over small sections of the filament decreases with timec)The filament emits more light at higher band of frequencies before it breaks upd)The filament consumes less electrical power towards the end of the life of the bulbCorrect answer is option 'C,D'. Can you explain this answer?
Question Description
An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing anelectric current. The hot filament emits black-body radiation. The filament is observed to break up atrandom locations after a sufficiently long time of operation due to non-uniform evaporation of tungstenfrom 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 uniformb)The resistance over small sections of the filament decreases with timec)The filament emits more light at higher band of frequencies before it breaks upd)The filament consumes less electrical power towards the end of the life of the bulbCorrect answer is option 'C,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing anelectric current. The hot filament emits black-body radiation. The filament is observed to break up atrandom locations after a sufficiently long time of operation due to non-uniform evaporation of tungstenfrom 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 uniformb)The resistance over small sections of the filament decreases with timec)The filament emits more light at higher band of frequencies before it breaks upd)The filament consumes less electrical power towards the end of the life of the bulbCorrect answer is option 'C,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing anelectric current. The hot filament emits black-body radiation. The filament is observed to break up atrandom locations after a sufficiently long time of operation due to non-uniform evaporation of tungstenfrom 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 uniformb)The resistance over small sections of the filament decreases with timec)The filament emits more light at higher band of frequencies before it breaks upd)The filament consumes less electrical power towards the end of the life of the bulbCorrect answer is option 'C,D'. Can you explain this answer?.
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