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:
Correct answer: C. 342Ω
- A. 180Ω
- B. 225Ω
- C. 342Ω
- D. 317Ω
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.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Current Electricity
Steady current relates charge flow to potential difference, resistance and resistivity, including how temperature changes a conductor's resistance. Sources with internal resistance have terminal voltage below their emf when delivering current, and maximum power output occurs under a specific load condition rather than at zero resistance.
Practise Current Electricity
1,052 free Current Electricity MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Current Electricity questions
When a piece of aluminium wire of finite length is drawn through a series of dies to reduce its diameter to half its original value, its resistance will become
A heater of 400 Watt was on for 5 hours what is electrical Consumption
The change in resistance of metallic conductor below 0oC?
A wire of uniform area of cross section is cut into two parts of equal lengths. The resistivity of any part
10,000 alpha particles per minute, are passing through a straight tube of radiius r. The resulting electric current is approximately:
An electric iron is marked 20 volts 500W. The units consumed by it for 24 hours will be: