Physics occurs all the time but often goes unnoticed. Here is your chance to reflect on physics in action. Other than the exampl
1 answer:
You might be interested in
To develop the problem it is necessary to apply two concepts, the first is related to the calculation of average data and the second is the Boltzmann distribution.
Boltzmann distribution is a probability distribution or probability measure that gives the probability that a system will be in a certain state as a function of that state's energy and the temperature of the system. It is given by
Where,
energy of that state
k = Boltzmann's constant
T = Temperature
With our values we have that
T= 250K
To make the calculations easier we can assume that the temperature and Boltzmann constant can be summarized as
Therefore the average energy would be,
Replacing with our values we have
Therefore the average internal energy is
The concepts used to solve this problem are sound power, area of ear drum, and inverse square law. First find the intensity using inverse square law for different distances. Then find the area of the ear drum using the diameter and finally find the energy transferred to each ear drum in one second. Intensity is inversely proportional to the square of the distance from the source:
Here,
r = Distance from the source,
Now the expression for the Area of ear drum is
The expression for Sound power is
Replacing,
Therefore the energy reached per second is