The Earth's atmosphere is a mixture of gases such as nitrogen

PHYSICS · Single correct · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

The Earth's atmosphere is a mixture of gases such as nitrogen, oxygen, tiny amounts of carbon dioxide and traces of other gases. Because of the pull of gravity, these gases tend to accumulate near the surface of the Earth. The weight of these gases causes an atmospheric pressure of about 10510^5 Pa on the surface of the Earth. Because the density of air decreases with height (hh above the surface of the Earth), the atmospheric pressure (PP) decreases with hh. In fact PP varies with hh as P=P0e−h/h0P = P_0 e^{-h/h_0} where P0P_0 = atmospheric pressure at sea level (h=0h = 0) and h0h_0 is a constant. The dimensional formula for constant h0h_0 is (A) [M0L2T−2][M^0 L^2 T^{-2}] (B) [M0LT−2][M^0 L T^{-2}] (C) [ML2T−2][M L^2 T^{-2}] (D) None of these

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