The density of the atmosphere at sea level is `1.29 kg//m^(3)`. Assume that it does not change with altitude. Then how high would the atmosphere extend ? `g=9.8 ms^(-2)`. Atmospheric pressure `=1.013 xx 10^(5) Pa`.

Explanation

To find how high the atmosphere would extend, we can use the relationship between pressure, density, gravitational acceleration, and height. The formula we will use is:

\[ P = \rho g h \]

Where:
- \( P \) is the atmospheric pressure (in Pascals),
- \( \rho \) is the density of the atmosphere (in kg/m³),
- \( g \) is the acceleration due to gravity (in m/s²),
...