Generally to estimate PMP, $P_{m} = 42.16 D^{0.475}$ is used ( $P_{m}$ is maximum depth of precipitation, D = duration). What are the units of $P_{m} and D$ in the equation.

mm, sec

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cm, sec

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mm, hr

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cm, hr

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Solution

The correct option is D cm, hr
Based upon the rainfall records available all over the world, a list of world's greatest recorded rainfalls of various duration can be assembled. When this data is plotted upon a log-log paper, an enveloping straight line drawn to the plotted points obeys the equation
$P_{m} = 42.16 D^{0.475}$
where $P_{m}$ = extreme rainfall depth in cm and D = duration in hours. The values obtained from this equation are of use in probable maximum precipitation (PMP) estimations.

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Generally to estimate PMP, Pm=42.16D0.475 is used (Pm is maximum depth of precipitation, D = duration). What are the units of Pm and D in the equation.

Generally to estimate PMP, $P_{m} = 42.16 D^{0.475}$ is used ( $P_{m}$ is maximum depth of precipitation, D = duration). What are the units of $P_{m} and D$ in the equation.