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# Solution - Explain Why Atmospheric Pressure at a Height of About 6 Km Decreases to Nearly Half of Its Value at the Sea Level, Though the Height of the Atmosphere is More than 100 Km - Pressure - Concept of Pressure

ConceptPressure Concept of Pressure

#### Question

Explain why Atmospheric pressure at a height of about 6 km decreases to nearly half of its value at the sea level, though the height of the atmosphere is more than 100 km

#### Solution 1

The variation of air-density with height is not linear. So, pressure also does not reduce linearly with height. The air pressure at a height h is given by P = P0eαh where P0 represents the pressure of air at sea-level and α is a constant.

#### Solution 2

A density of air is the maximum near the sea level. The density of air decreases with increase in height from the surface. At a height of about 6 km, density decreases to nearly half of its value at the sea level. Atmospheric pressure is proportional to density. Hence, at a height of 6 km from the surface, it decreases to nearly half of its value at the sea level.

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#### APPEARS IN

NCERT Physics Textbook for Class 11 Part 2
Chapter 10: Mechanical Properties of Fluids
Q: 1.2 | Page no. 268

#### Reference Material

Solution for question: Explain Why Atmospheric Pressure at a Height of About 6 Km Decreases to Nearly Half of Its Value at the Sea Level, Though the Height of the Atmosphere is More than 100 Km concept: Pressure - Concept of Pressure. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)
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