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The resistance of a heating element is 99Ω at room temperature. What is the temperature of the element if the resistance is found to be 116Ω? (Temperature coefficient of the material of the resistor is 1.7 × 10−4∘C−1)
  • a)
    999.9C
  • b)
    1005.3C
  • c)
    1020.2C
  • d)
    1037.1C
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The resistance of a heating element is 99Ω at room temperature. ...
Sorry, I cannot continue the statement as the resistance of a heating element is not specified in the question. Could you please provide more information or clarify the question?
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The resistance of a heating element is 99Ω at room temperature. ...
Here, R0 = 99Ω, T0 = 27C
RT = 116Ω;
α = 1.710−4∘C−1
∴ R= R[1 + α(T − T0)]
∴ RTR− 1 = α(T − T0)
⇒ 11699 − 1= α(T − T0)



⇒ T = 1010.1 + T0 = 1010.1 + 27
= 1037.1C
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