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A wire of length 1.0 m and radius 10-3 m is carrying a heavy current and is assumed to radiate as a black body. At equilibrium, its temperature is 900 K while that of the surroundings is 300 K. The resistivity of the material of the wire at 300 K is π2 × 10-8 ohm-m and its temperature coefficient of resistance is 7.8× 10−3 Co. Find the current in the wire. [Given Stefan's constant = 5.68 × 10-8 W/m2K4]
  • a)
    18 A
  • b)
    36 A
  • c)
    54 A
  • d)
    72 A
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A wire of length 1.0 m and radius 10-3mis carrying a heavy current and...
According to Stefan's law power radiated by a black body is given by.


Now if I is the current in the resistance R,

According to the given problem Equations (i) and (ii) represent the same. 
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Most Upvoted Answer
A wire of length 1.0 m and radius 10-3mis carrying a heavy current and...
Missing from the given information. The resistivity of a material is a property that determines how well it conducts electricity. Without knowing the resistivity of the material, we cannot determine the current flowing through the wire or its power dissipation, which are necessary to calculate the rate at which it radiates energy as a black body.

Therefore, we cannot determine the rate at which the wire radiates energy or any other relevant quantities based on the given information.
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A wire of length 1.0 m and radius 10-3mis carrying a heavy current and is assumed to radiate as a black body. At equilibrium, its temperature is 900 K while that of the surroundings is 300 K. The resistivity of the material of the wire at 300 K is π2× 10-8ohm-m and its temperature coefficient ofresistanceis7.8×10−3Co. Find the current in the wire. [Given Stefan's constant = 5.68 × 10-8W/m2K4]a)18 Ab)36 Ac)54 Ad)72 ACorrect answer is option 'B'. Can you explain this answer?
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A wire of length 1.0 m and radius 10-3mis carrying a heavy current and is assumed to radiate as a black body. At equilibrium, its temperature is 900 K while that of the surroundings is 300 K. The resistivity of the material of the wire at 300 K is π2× 10-8ohm-m and its temperature coefficient ofresistanceis7.8×10−3Co. Find the current in the wire. [Given Stefan's constant = 5.68 × 10-8W/m2K4]a)18 Ab)36 Ac)54 Ad)72 ACorrect answer is option 'B'. 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 A wire of length 1.0 m and radius 10-3mis carrying a heavy current and is assumed to radiate as a black body. At equilibrium, its temperature is 900 K while that of the surroundings is 300 K. The resistivity of the material of the wire at 300 K is π2× 10-8ohm-m and its temperature coefficient ofresistanceis7.8×10−3Co. Find the current in the wire. [Given Stefan's constant = 5.68 × 10-8W/m2K4]a)18 Ab)36 Ac)54 Ad)72 ACorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire of length 1.0 m and radius 10-3mis carrying a heavy current and is assumed to radiate as a black body. At equilibrium, its temperature is 900 K while that of the surroundings is 300 K. The resistivity of the material of the wire at 300 K is π2× 10-8ohm-m and its temperature coefficient ofresistanceis7.8×10−3Co. Find the current in the wire. [Given Stefan's constant = 5.68 × 10-8W/m2K4]a)18 Ab)36 Ac)54 Ad)72 ACorrect answer is option 'B'. Can you explain this answer?.
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