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The resistance of a wire at 300K is found to be 0.3Ω. If the temperature coefficient of resistance of wire is 1.5 × 10–3 K–1, the temperature at which resistance become 0.6Ω is :
  • a)
    993K
  • b)
    345K 
  • c)
    720K
  • d)
    690K
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The resistance of a wire at 300K is found to be 0.3Ω. If the tem...
Given, 
T = 300K = 27°C

Temperature coefficient of resistance
Dividing Equation (ii) by equation (i) we get
The correct answer is: 993K
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Most Upvoted Answer
The resistance of a wire at 300K is found to be 0.3Ω. If the tem...
To determine the resistance of a wire at a given temperature, we need to know the material's temperature coefficient of resistance (α) and the resistance at a reference temperature (R₀).

The temperature coefficient of resistance measures how much the resistance of a material changes with temperature. It is typically given in units of ohms per degree Celsius (Ω/°C) or ohms per degree Kelvin (Ω/K).

The formula to calculate the resistance of a wire at a given temperature is:

R = R₀ * (1 + α * (T - T₀))

where:
R is the resistance at the given temperature T,
R₀ is the resistance at the reference temperature T₀,
α is the temperature coefficient of resistance,
and T is the given temperature.

In this case, we are given the resistance of the wire at 300K (T = 300K) as 0.3 ohms. However, we do not have the reference temperature or the temperature coefficient of resistance.

Without this information, we cannot accurately calculate the resistance of the wire at any other temperature.
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The resistance of a wire at 300K is found to be 0.3Ω. If the temperature coefficient of resistance of wire is 1.5 × 10–3K–1, the temperature at which resistance become 0.6Ω is :a)993Kb)345Kc)720Kd)690KCorrect answer is option 'A'. Can you explain this answer?
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