Discussion
Which quantity does scale height depend on?
Answer: C
Scale height is \( RT/g \), and the specific gas constant depends on the mean molecular mass, so those three quantities alone determine it. The total amount of atmosphere sets the surface pressure but not the rate at which it falls with height. Rotation does modify effective gravity slightly but the effect is negligible for this purpose. Framing the question as which quantity the change acts upon makes the answer follow without calculation.
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