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Q.

The frequency of the characterstic X- ray of Kα line of metal target 'M' is 2500 cm-1and the graph between 

ν  Vs 'Z' is as follows, then atomic number of M is
 

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a

49

b

50

c

51

d

25

answer is C.

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Detailed Solution

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\sqrt \nu = a(Z - b);\

 

\large \frac{{\sqrt \nu }}{y} = \frac{{az}}{{mx}} - \frac{{ab}}{c}\

                                                                                      Given slope = a = tan 45o = 1
                                                                                              y- intercept = ab= OA =1
                                                                                                ν =2500Hz

\large \sqrt {2500} = 1(Z) - 1\


                                                                                                      50=Z-1
                                                                                                       Z=51

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