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Ad libitum [116K]
3 years ago
14

If you know how much radioactive material the organism had to begin with, explain how you could use half-life to determine its a

ge now.
Physics
1 answer:
TiliK225 [7]3 years ago
5 0

Answer: We can calculate it with the radioactive half life equation

Explanation:

If we already know the initial amount of radioactive material and its half life, we can leave that material for a specific known time and then measure how much of the material is left (since it follows the radioactive deacay) and use the results in the following formula:

A=A_{o}.2^{\frac{-t}{h}}  

Where:

A is the final amount of the material

A_{o} is the initial amount of the material

t is the time elapsed

h is the half life of the radioactive compound

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Since the sound is moving away from the observer then

f_o = f_s\frac {(v+vs)}{v} and f_o = f_s\frac {(v-vs)}{v} when moving towards observer

With f_o of 76 then taking speed in air as 343 m/s we have

76 = f_s\times\frac {(343-vs)}{343}

f_s=\frac {343\times 76}{343-v_s}

Similarly, with f_o of 65 we have

65 = f_s\times\frac {(343+vs)}{343}\\f_s=\frac {343\times 65}{343+v_s}

Now

f_s=\frac {343\times 65}{343+v_s}=\frac {343\times 76}{343-v_s}

v_s=27.76 m/s

Substituting the above into  any of the first two equations then we obtain

f_s=70.07 Hz

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