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MMLU-Pro / 10267 / Consider a resistor made from a hollow cylinder of carbon as shown below. The…

Problem

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question

Consider a resistor made from a hollow cylinder of carbon as shown below. The inner radius of the cylinder is Ri=0.2R_i=0.2mm and the outer radius is Ro=0.3R_o=0.3mm. The length of the resistor is L=0.9L=0.9mm. The resistivity of the carbon is $\rho=3.5 * 10^{-5} \Omega \cdot m$. What is the resistance in Ω⋅m\Omega \cdot m?
Plain-text mathematical notation (without MathML)
Consider a resistor made from a hollow cylinder of carbon as shown below. The inner radius of the cylinder is R_(i)=0.2mm and the outer radius is R_(o)=0.3mm. The length of the resistor is L=0.9mm. The resistivity of the carbon is $\rho=3.5 * 10^{-5} \Omega \cdot m$. What is the resistance in Ω⋅m?
Original LaTeX notation
Consider a resistor made from a hollow cylinder of carbon as shown below. The inner radius of the cylinder is $R_i=0.2$mm and the outer radius is $R_o=0.3$mm. The length of the resistor is $L=0.9$mm. The resistivity of the carbon is $\rho=3.5 * 10^{-5} \Omega \cdot m$. What is the resistance in $\Omega \cdot m$?

category

physics

options

  1. 4.0
  2. 3.0
  3. 5.0
  4. 2.0
  5. 2.8
  6. 1.5
  7. 2.5
  8. 3.5
  9. 1.8
  10. 1.0

src

theoremQA-Physics

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Source and history

upstream_id / Original problem ID
10267
task_id
b088c187-bf11-5031-8022-c80fa5720401
task_key
default--test--10267
task_revision_id
1
config / split
default / test

Official source

initial import