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The maximum number of electrons that can be accomodate in the nth level is–
- a)n2
- b)2n2
- c)4n2
- d)n
Correct answer is option 'B'. Can you explain this answer?
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The maximum number of electrons that can be accomodate in the nth leve...
The maximum number of electrons that can be accommodated in the nth level is 2n2.
Explanation:
1. Introduction:
The maximum number of electrons that can be accommodated in an energy level is determined by the formula 2n2, where n represents the principal quantum number or the energy level.
2. Understanding the formula:
- The formula 2n2 is derived from the fact that each energy level can hold a maximum of 2 electrons per orbital and there are n2 orbitals in a given energy level.
- Since each orbital can hold 2 electrons (one with spin-up and one with spin-down), the maximum number of electrons that can be accommodated in a given energy level is 2n2.
3. Example:
Let's take the example of the first three energy levels:
- n = 1: The first energy level can hold a maximum of 2 electrons (2 * 12 = 2).
- n = 2: The second energy level can hold a maximum of 8 electrons (2 * 22 = 8).
- n = 3: The third energy level can hold a maximum of 18 electrons (2 * 32 = 18).
4. Conclusion:
Based on the formula 2n2, the maximum number of electrons that can be accommodated in the nth energy level is 2n2. Therefore, the correct answer is B.
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The maximum number of electrons that can be accomodate in the nth leve...
Understanding Electron Accommodation in Energy Levels
In atomic structure, electrons occupy distinct energy levels, known as shells or principal quantum levels. The maximum number of electrons that can be accommodated in these levels can be determined by a specific formula.
Maximum Electrons Formula
- The formula for calculating the maximum number of electrons in the nth energy level is given by: 2n².
Breakdown of the Formula
- n represents the principal quantum number, which indicates the energy level or shell.
- 2n² suggests that as you move to higher energy levels (n = 1, 2, 3, ...), the capacity for electrons increases significantly.
Explanation with Examples
- For n = 1:
- Maximum electrons = 2(1)² = 2
- For n = 2:
- Maximum electrons = 2(2)² = 8
- For n = 3:
- Maximum electrons = 2(3)² = 18
This pattern shows that the number of electrons increases as n increases, highlighting the exponential growth in electron capacity.
Conclusion
Hence, the correct answer to the question regarding the maximum number of electrons that can be accommodated in the nth level is option B: 2n². Understanding this concept is crucial for grasping the structure of atoms and the arrangement of electrons around the nucleus.
In atomic structure, electrons occupy distinct energy levels, known as shells or principal quantum levels. The maximum number of electrons that can be accommodated in these levels can be determined by a specific formula.
Maximum Electrons Formula
- The formula for calculating the maximum number of electrons in the nth energy level is given by: 2n².
Breakdown of the Formula
- n represents the principal quantum number, which indicates the energy level or shell.
- 2n² suggests that as you move to higher energy levels (n = 1, 2, 3, ...), the capacity for electrons increases significantly.
Explanation with Examples
- For n = 1:
- Maximum electrons = 2(1)² = 2
- For n = 2:
- Maximum electrons = 2(2)² = 8
- For n = 3:
- Maximum electrons = 2(3)² = 18
This pattern shows that the number of electrons increases as n increases, highlighting the exponential growth in electron capacity.
Conclusion
Hence, the correct answer to the question regarding the maximum number of electrons that can be accommodated in the nth level is option B: 2n². Understanding this concept is crucial for grasping the structure of atoms and the arrangement of electrons around the nucleus.
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The maximum number of electrons that can be accomodate in the nth level is–a)n2b)2n2c)4n2d)nCorrect answer is option 'B'. Can you explain this answer?
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