Type the correct answer in the box. use numerals instead of words. anne has a sample of a substance. its volume is 20 cm3, and i
1 answer:
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Answer:
The age of the organism is approximately 11460 years.
Explanation:
The amount of carbon-14 decays exponentially in time and is defined by the following equation:
(1)
Where:
- Initial amount of carbon-14.
- Current amount of carbon-14.
- Time, measured in years.
- Time constant, measured in years.
Then, we clear the time within the formula:
(2)
In addition, time constant can be calculated by means of half-life of carbon-14 (), measured in years:
If we know that and
, then the age of the organism is:
The age of the organism is approximately 11460 years.
Answer:
D. Frequency
Explanation:
The energy of an electromagnetic wave is proportional to frequency, mathematically it is expressed as;
E ∝ f
E = hf
where;
h is Planck's constant = 6.626 x 10⁻³⁴ Js
The equation above can also be expanded to;
where;
c is speed of light = 3 x 10⁸ m/s
λ is the wavelength of the electromagnetic wave
Since the speed of light is constant, we can conclude that the energy of the electromagnetic wave is directly proportional to its frequency and inversely proportional to its wavelength.
Therefore, the correct option for direct proportionality is FREQUENCY