The scale length of atmospheric pressure variations in the vertical direction refers to the approximate vertical distance over which the pressure decreases by a factor of $e$ (Euler's number, approximately 2.718). This concept is crucial for understanding how pressure changes with altitude in the Earth's atmosphere.
In the lower atmosphere (troposphere), air density and pressure decrease significantly with height. The characteristic vertical distance over which this pressure change occurs is known as the scale height or scale length.
Based on standard atmospheric models and observations:
Therefore, the scale length of pressure variations in the atmosphere in the vertical direction is about 7 km.
Absolute humidity in atmosphere at $ 10^\circ $ is $5.0$ g/m$^3$ and maximum amount of water air can hold at same temperature is $ 10$ g m$^3$. What will be the relative humidity at the same temperature?