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Q.

Kα wavelength emitted by an atom of atomic number Z = 11 is λ. Find the atomic number for an atom that emits Kα radiation with wavelength 4λ       

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a

Z = 6

b

Z = 4

c

Z = 11

d

Z = 44

answer is A.

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Detailed Solution

sqrt {{f_1}} = sqrt {frac{v}{{{lambda _1}}}} = aleft( {11 - 1} right),and,sqrt {{f_2}} = sqrt {frac{v}{{{lambda _2}}}} = aleft( {Z - 1} right)
By,dividing,sqrt {frac{{{lambda _2}}}{{{lambda _1}}}} = frac{{10}}{{Z - 1}} Rightarrow sqrt {frac{4}{1}} = frac{{10}}{{Z - 1}} Rightarrow Z = {text{ }}6

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Kα wavelength emitted by an atom of atomic number Z = 11 is λ. Find the atomic number for an atom that emits Kα radiation with wavelength 4λ