Calculating Minimum Power for Perception of Radiation from a Point Source

AI Thread Summary
The discussion focuses on calculating the minimum power required for a point source of radiation to be perceived at a distance of 10 meters, given an intensity of 8*10^(-7) W/m^2. The calculation involves using the formula P=I*A, where A is the surface area of a sphere. The result obtained is 0.001 Watt, which is confirmed as correct by another participant. A suggestion is made to express the result in a more precise format, such as 1.0 mW, to indicate significant digits. The conversation emphasizes the importance of clarity in presenting scientific results.
jasmin_89
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Homework Statement
Power source of radiation
Relevant Equations
Is my solution correct?
Hallo, can anybody help me and check if i have the right result:

What is the minimum power P that a point source of radiation (I=8*10^(-7) W/m^2) at a distance of l=10 m from the listener must have in order to still be perceived? (Note: The emitted energy per area can be related to a spherical body with A=4 π r^2)

P=I*A
P=8*10^-7 (W/m^2)*4*pi *(10m)^2= 0,001 Watt
 
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:welcome:

Your result looks correct to me.

Small nitpick: If no other constraints are given I would probably write the result as 1.0⋅10-3 W or just 1.0 mW to better signal the number of significant digits in the result.
 
Ok, thank you :)
 
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