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Question

19780Hg decays to 19179Au through electron capture with a decay constant of 0.257 per day. (a) What other particle or particles are emitted in the decay ? (b) Assume that the electron is captured from the K shell. Use Moseley's law v = a(Z-b) with a = 4.95 ×107s12 and b= 1 to find the wavelength of the Kα  X-ray emitted following the electron capture. 


Solution

(a) p + e n = v neutrino 

(b) f = a (z-b)

cλ=4.9.5×107(791)

= 4.95×107×78 

cλ=(4.95×78)2×1014

λ=3×108149032×1014

= 2×105×105

= 2×1m= 20 pm 


Physics
Concepts of Physics
Standard XII

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