Elena showed you how to do this sort of problem. Try it.
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old problem:
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http://www.jiskha.com/display.cgi?id=1335130177
Using the Bohr model, estimate the wavelength ë of the Ká characteristic X-ray for a metal an atom of which contains Z = 50 protons.
6 answers
It was wrong and I still don't get how to do it!
for Ka series m = 2 though I think
physics help! - Elena, Sunday, April 22, 2012 at 5:58pm
Moseley's law
1/λ = R• (Z –σ)^2•(1/n^2 -1/m^2),
where
R=1.1•10^7 m^-1 is the Rydberg constant,
Z = 50,
σ = 1 for K-series,
for K-β: n = 1, m = 3.
So
1/λ = 1.1•10^7 • (50 –1)^2•(1 - 1/9) =…
λ = 4.26•10^-11 m
physics help! - Elena, Sunday, April 22, 2012 at 5:58pm
Moseley's law
1/λ = R• (Z –σ)^2•(1/n^2 -1/m^2),
where
R=1.1•10^7 m^-1 is the Rydberg constant,
Z = 50,
σ = 1 for K-series,
for K-β: n = 1, m = 3.
So
1/λ = 1.1•10^7 • (50 –1)^2•(1 - 1/9) =…
λ = 4.26•10^-11 m
try using m = 2, small difference of 1/4 instead of 1/9
1/L = 1.1*10^7(49)^2 * (1-1/4)
= 1980*10^7
so L = 5.05*10^-4*10^-7
= 5.05 * 10^-11 m
= 1980*10^7
so L = 5.05*10^-4*10^-7
= 5.05 * 10^-11 m
That makes so much more sense! Thanks so much!!!