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Physics / Physics: Principles with Applications 6 / Chapter 10 / Problem 15P

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

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(II) How high would the atmosphere extend if it were of

Chapter 4, Problem 15P

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QUESTION:

(II) How high would the atmosphere extend if it were of uniform density throughout, equal to half the present density at sea level?

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QUESTION:

(II) How high would the atmosphere extend if it were of uniform density throughout, equal to half the present density at sea level?

ANSWER:

Solution 15P:

We have to determine the height of the atmosphere upto which it would be extended considering it to be uniformly distributed having density half of the present density at sea level.

Step 1 of 2

Concept:

The pressure $P$ at the bottom point due to air of density $\rho{}$ , having the height of the air column $h$ taking the density of the atmosphere to be uniform,is given as,

$P={P}_{o}+h\rho{}g$ ...(1)

Where ${P}_{o}\Rightarrow{}$ Pressure at the topmost point

$\ g\ \Rightarrow{}$ Acceleration due to gravity

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