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Assuming constant temperature condition and air to be an ideal gas, the variation in atmospheric pressure with height calculated from fluid statics is

1. linear
2. exponential
3. quadratic
4. cubic

Correct answer: exponential

Solution

The variation in atmospheric pressure with height is exponential because, under constant temperature and assuming air behaves as an ideal gas, the pressure decreases exponentially as altitude increases due to the balance of gravitational force and the gas laws.

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