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A light nuclide that has n//p ratio 2 an...

A light nuclide that has `n//p` ratio 2 and has magic number of neutrons but still shows radioactivity
a. `._(2)He^(4)` b. `._(1)He^(3)` c. `._(1)H^(2)` d. `._(2)He^(3)`

A

a. `._(2)He^(4)`

B

b. `._(1)He^(3)`

C

c. `._(1)H^(2)`

D

d. `._(2)He^(3)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to identify a light nuclide from the given options that has a neutron-to-proton (n/p) ratio of 2, a magic number of neutrons, and still exhibits radioactivity. ### Step-by-step Solution: 1. **Understanding the n/p Ratio**: - The n/p ratio of 2 means that for every proton (p), there are 2 neutrons (n). 2. **Identifying Magic Numbers**: - Magic numbers of neutrons are specific numbers that lead to more stable nuclei. The relevant magic numbers for light nuclides include 2, 8, and 20. Since we are looking for a light nuclide, we will focus on the magic number 2. 3. **Analyzing Each Option**: - **Option a: `._(2)He^(4)`** - Protons (p) = 2, Neutrons (n) = 4 - 2 = 2 - n/p = 2/2 = 1 - This does not satisfy the n/p ratio of 2. - **Option b: `._(1)He^(3)`** - Protons (p) = 1, Neutrons (n) = 3 - 1 = 2 - n/p = 2/1 = 2 - This satisfies the n/p ratio of 2 and has a magic number of neutrons (2). - **Option c: `._(1)H^(2)`** - Protons (p) = 1, Neutrons (n) = 2 - 1 = 1 - n/p = 1/1 = 1 - This does not satisfy the n/p ratio of 2. - **Option d: `._(2)He^(3)`** - Protons (p) = 2, Neutrons (n) = 3 - 2 = 1 - n/p = 1/2 = 0.5 - This does not satisfy the n/p ratio of 2. 4. **Conclusion**: - The only option that satisfies both the n/p ratio of 2 and has a magic number of neutrons (2) is **Option b: `._(1)He^(3)`**. ### Final Answer: - The correct answer is **b. `._(1)He^(3)`**.
To solve the question, we need to identify a light nuclide from the given options that has a neutron-to-proton (n/p) ratio of 2, a magic number of neutrons, and still exhibits radioactivity. ### Step-by-step Solution: 1. **Understanding the n/p Ratio**: - The n/p ratio of 2 means that for every proton (p), there are 2 neutrons (n). 2. **Identifying Magic Numbers**: ...
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