The atmospheric pressure is 10^6 dyne/cm². What is its value in SI unit?
A. 10^5 newton/m²
B. 10^6 newton/m²
C. 10^4 newton/m²
D. 10^3 newton/m²
Answer (2)
The atmospheric pressure of 10^6 dyne/cm² equals 10^5 newton/m² in SI units. This conversion is done using the relationship between dyne and newton, and between cm² and m². Thus, the correct answer is A. 10^5 newton/m².
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To convert atmospheric pressure from dyne/cm² to newton/m² in SI units, follow these steps:
Step 1: Understand the units.
A dyne is a unit of force in the CGS (centimeter-gram-second) system and is equivalent to 1 0 − 5 newton in the SI system.
In the CGS system, pressure is expressed as dyne/cm².
In the SI system, pressure is expressed as newton/m², also known as pascal (Pa).
Step 2: Perform the conversion.
Given pressure in dyne/cm² is 1 0 6 dyne/cm².
Convert dyne to newton: 1 dyne = 1 0 − 5 newton .
Therefore, 1 0 6 dyne/cm 2 = 1 0 6 × 1 0 − 5 newton/cm 2 .
As 1 cm = 0.01 m, convert cm² to m²: 1 cm 2 = 1 0 − 4 m 2 .
Now, convert the pressure:
1 0 6 × 1 0 − 5 newton/cm 2 = 1 0 6 × 1 0 − 5 × 1 0 4 newton/m 2 = 1 0 5 newton/m 2
Conclusion:
The atmospheric pressure of 1 0 6 dyne/cm² is equal to 1 0 5 newton/m² in SI units.
Therefore, the correct answer is option (A) 1 0 5 newton/m².
