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Q.

Moseley's equation is represented as v=a(Z-b) where, a and b are constants. 

Modern periodic law (1913) was based on the X-ray spectra of Henry Moseley  and equation.sqrt {v}=a(Z-b) where, a and b are constants. If OA=1 then  element showing frequency of 225 Hz,then incorrect

If OA = 1, then atomic number of the element showing frequency of 400 Hz is

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a

11

b

41

c

21

d

19

answer is A.

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Detailed Solution

v=aZ-b=aZ-ab

Thus, graph is a straight line

At v=0,                   aZ=b=OA=1

                                    Z = b = OA =1

Thus, b = 1 and at Z = 0, v=-ab

                                      Slope = a = tan 45° = 1

Thus, 

if v = 400 Hz, then

                                      400=Z-1

                                           20 = Z - 1

                                         Z = 21

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