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Question

The scale length of pressure variations in atmosphere in vertical direction is about

The correct answer is
7 km

Vertical Atmospheric Pressure Scale Length

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.

Determining the Scale Length

Based on standard atmospheric models and observations:

  • The pressure variation scale length is primarily determined by temperature and gravity.
  • For the Earth's troposphere, this value is typically estimated to be around 7 km.
  • This means that for every 7 km increase in altitude, the atmospheric pressure drops by roughly 63% (or decreases to about 37% of its value at the lower altitude).

Therefore, the scale length of pressure variations in the atmosphere in the vertical direction is about 7 km.

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