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Air pressure may be represented as a function of height above the surface of the Earth as shown below.In this function, P0 is air pressure at sea level, and h is measured in meters. Which of the following equations will find the height at which air pressure is 65% of the air pressure at sea level?A.B.C.D.

Air Pressure May Be Represented As A Function Of Height Above The Surface Of The Earth As Shown BelowIn This Function P0 Is Air Pressure At Sea Level And H Is M class=

Answer :

Given: Air pressure may be represented as a function of height above the surface of the Earth as

[tex]P=P_0e^{-0.00012h}[/tex]

Where h is the height in meters and

[tex]P_0\text{ is the air pressure at sea level.}[/tex]

Required: To find out which equation will find the height at which air pressure is 65% of the air pressure at sea level.

Explanation: We are given that air pressure is 65% of the air pressure at sea level i.e.

[tex]\begin{gathered} P=65\%\times P_0 \\ P=0.65P_0 \end{gathered}[/tex]

Now putting this value of P in the given function we get

[tex]0.65P_0=P_0e^{-0.00012h}[/tex]

This is equivalent to the expression given in option A.

Final Answer: Option A is correct.

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