Answer :
Final answer:
The question involves the calculation of the height of a building using variations in atmospheric pressure at different points and air density. The height is computed using the Barometric Formula, with the given pressure difference, air density, and gravitational constant. The height of the building is found to be about 306 meters.
Explanation:
The subject of this question is Physics, as it deals with atmospheric pressure, density, and calculations related to height. This kind of problem requires knowledge of Physics principles and fluid statics concept, in particular, the formula that links the atmospheric pressure difference, the density of air, and the height of a column (in this case, a building). The Barometric Formula is used in this context, which is ΔP = ρgh, where ΔP represents the difference in pressure, ρ is the density of air, g is the acceleration due to gravity, and h is height.
To find the height of the building, we will use the formula h = ΔP / ρg. Substituting the given values, we get ΔP = 98.1kPa - 95.1kPa = 3kPa = 3000Pa (1kPa = 1000 Pa), ρ = 1.0 kg/m³, and g = 9.81 m/s².
Therefore, the height of the building is h = 3000 / (1.0*9.81) ≈ 306 meters. Thus, the correct answer is option D: 306 m.
Learn more about Barometric Formula here:
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