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MMLU-Pro / 10048 / The circumference of a helium-filled balloon is measured for three different…

Problem

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question

The circumference of a helium-filled balloon is measured for three different conditions: at room temperature, after being in a warm oven for 30 minutes, and after being in a freezer for 30 minutes. A student plotting the circumference cubed C^3 as a function of temperature T, should expect to find which of the following?

category

physics

options

  1. an indirect relationship between C^3 and T
  2. an extrapolated temperature T where C^3 reaches zero
  3. a constant value for C^3 irrespective of T
  4. a quadratic relationship between C^3 and T
  5. a direct relationship between C^3 and T
  6. a cubic relationship between C^3 and T
  7. a relationship where C^3 decreases exponentially as T increases
  8. a linear relationship between C^3 and T
  9. a minimum C^3 as the temperature T increases
  10. a maximum C^3 as the temperature T increases

src

ori_mmlu-high_school_physics

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