Resistance of tungsten wire at 150 oC is 133Ω. Its resistance temperature coefficient is 0.0045/oC. The resistance of this wire at 500oC will be:

Explanation

To find the resistance of the tungsten wire at 500 oC, we apply the resistance-temperature relationship formula:R = R0(1 + α(T - T0))Where:- R0 = 133Ω (resistance at T0 = 150 oC)- α = 0.0045/oC (temperature coefficient)- T0 = 150 oC- T = 500 oCSubstituting these values into the formula gives:R = 133Ω(1 + 0.0045(500 - 150))Calculating the temperature difference: 500 - 150 = 350 oCNow, calculating the coefficient effect: 0.0045 × 350 = 1.575So, R = 133Ω(1 + 1.575) = 133Ω × 2.575 ≈ 342Ω.Thus, the correct answer is 342Ω. The other options (180Ω, 225Ω, and 317Ω) are incorrect because they do not accurately apply the formula or account for the significant increase in resistance due to the temperature change.