Atomic Structure Problems
Problems in Atomic Structure:
What is the ratio between energy of two types of radiation whose wavelengths are 6000 Angstrom and 2000 Angstrom respectively?
Answer:To find the ratio of the energy of two types of radiation based on their wavelengths, we use the following relationship between energy and wavelength:
E = hc / λ
Where:
 E is the energy of the radiation,
 h is Planck's constant (6.626 × 10^{34} J·s),
 c is the speed of light (3 × 10^{8} m/s),
 λ is the wavelength of the radiation.
 For the first radiation, λ_{1} = 6000 Å = 6000 × 10^{10} m = 6 × 10^{7} m
 For the second radiation, λ_{2} = 2000 Å = 2000 × 10^{10} m = 2 × 10^{7} m
The ratio of energy E_{1} (for λ_{1}) to E_{2} (for λ_{2}) is given by:
E₁ / E₂ = λ₂ / λ₁
E₁ / E₂ = (2 × 10^{7}) / (6 × 10^{7}) = 2 / 6 = 1 / 3
2.What is the ratio between the number of neutrons present in carbon isotopes with mass numbers 12 and 14?
Carbon12 and Carbon14 are isotopes of carbon. Isotopes have the same number of protons but different numbers of neutrons. .
 Carbon12 (C12): The mass number is 12. The number of neutrons is:
Neutrons = Mass Number  Protons = 12  6 = 6 neutrons.
 Carbon14 (C14): The mass number is 14. The number of neutrons is:
Neutrons = Mass Number  Protons = 14  6 = 8 neutrons.
The ratio of neutrons in Carbon12 to Carbon14 is:
Neutrons in C12 / Neutrons in C14 = 6 / 8 = 3 / 4
Conclusion:
The ratio between the number of neutrons in Carbon12 and Carbon14 is 3:4.
3.What are the number of protons, electrons, and neutrons present in a nitride ion (N³⁻)?
The following table shows the number of protons, electrons, and neutrons present in a nitride ion (N³⁻):
Particle  Number in Nitride Ion (N³⁻) 

Protons  7 
Electrons  10 
Neutrons  7 
Explanation:
 Protons: The atomic number of nitrogen is 7, so the number of protons is 7.
 Electrons: The nitride ion (N³⁻) has gained 3 extra electrons, so it has 7 + 3 = 10 electrons.
 Neutrons: The most common isotope of nitrogen has a mass number of 14. Neutrons are calculated as mass number  atomic number, so 14  7 = 7 neutrons.
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