The curve to the right shows the radioactive decay of a particular sample of a nucleus called Element 9. A particular nucleus survives for the first 10 hours, what is the probability that particular nucleus of Element 9 will decay between 10 hours and 20 hours? N 400 - a. 50.0%. b. 75.0%. 100- c. 25.0%. d. above 98%. 5 10 15 t (in hrs) e. 86.5%.
Radioactive decay
The emission of energy to produce ionizing radiation is known as radioactive decay. Alpha, beta particles, and gamma rays are examples of ionizing radiation that could be released. Radioactive decay happens in radionuclides, which are imbalanced atoms. This periodic table's elements come in a variety of shapes and sizes. Several of these kinds are stable like nitrogen-14, hydrogen-2, and potassium-40, whereas others are not like uranium-238. In nature, one of the most stable phases of an element is usually the most prevalent. Every element, meanwhile, has an unstable state. Unstable variants are radioactive and release ionizing radiation. Certain elements, including uranium, have no stable forms and are constantly radioactive. Radionuclides are elements that release ionizing radiation.
Artificial Radioactivity
The radioactivity can be simply referred to as particle emission from nuclei due to the nuclear instability. There are different types of radiation such as alpha, beta and gamma radiation. Along with these there are different types of decay as well.
![### Radioactive Decay Problem
**Question:**
The curve to the right shows the radioactive decay of a particular sample of a nucleus called Element 9. A particular nucleus survives for the first 10 hours; what is the probability that that particular nucleus of Element 9 will decay between 10 hours and 20 hours?
a. 50.0%
b. 75.0%
c. 25.0%
d. above 98%
e. 86.5%
**Explanation of Graph:**
The graph to the right illustrates radioactive decay with the following axes:
- **Horizontal Axis (t)**: This represents time in hours ranging from 0 to 15 hours, with ticks at every 5-hour interval.
- **Vertical Axis (N)**: This represents the number of undecayed nuclei, ranging from 0 to 400, with ticks every 100 units.
The curve shows an exponential decay pattern. The value of N starts at 400 when t = 0 and asymptotically approaches 0 as time increases.
**Calculation/Analysis:**
To solve the problem, observe the decay pattern after the first 10 hours and estimate the change in the number of nuclei from t = 10 hours to t = 20 hours. This information can be used to calculate the probability that a nucleus will decay in the given time frame and match it with one of the provided choices. The graph suggests that N(t) continues to drop significantly within this time frame.
*Details about solving the actual decay probability should be provided based on the exponential decay formula or other relevant calculations*.
### Answer:
(Indicate the correct option here based on the actual calculation if provided in the learning material).
This is generally a typical question to enhance understanding of exponential decay in radioactive samples.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0959128f-1417-4f4f-bd20-8f81c7fe5d61%2Fdd81d364-0232-47f7-84af-76207ef82bec%2F2nen62.png&w=3840&q=75)
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