# Calculate the Ratio of Wavelengths and Frequencies for Gold and Magnesium

What is the ratio of the wavelengths and frequencies for gold and magnesium based on their nuclear numbers?

## Calculating the Ratio of Wavelengths and Frequencies for Gold and Magnesium

**Calculating the Ratio of Wavelengths:**Given: Nuclear number of gold (Au), Z_Au = 79 Nuclear number of magnesium (Mg), Z_Mg = 12 Planck's constant, h = 6.626 × 10^-34 J·s Speed of light, c = 3.00 × 10^8 m/s The formula to calculate the ratio of wavelengths is: Ratio = (Z_Mg^2 / Z_Au^2) Substitute the values into the formula: Ratio = (12^2 / 79^2) = 0.00229226 Therefore, the ratio of the wavelengths for gold and magnesium is approximately 0.00229226.

**Calculating the Ratio of Frequencies:**The formula to calculate the ratio of frequencies is: Ratio = λ_Mg / λ_Au = 1 / (Z_Mg^2 / Z_Au^2) = 0.870093 Therefore, the ratio of the frequencies for gold and magnesium is approximately 0.870093. In conclusion, based on the nuclear numbers of gold and magnesium, the ratio of wavelengths is around 0.00229226, and the ratio of frequencies is around 0.870093.