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In the graph between sqrtv and Z for the...

In the graph between `sqrtv and Z` for the Mosley's equation, `sqrtv=a(Z-b)`, the Mosley's equation, `sqrtv=a(Z-b)`, the intercept OX is 1 on `sqrtv` axis.

What is the frequency v when the atomic number Z is 52?

A

`7.14s^(-1)`

B

`7s^(-1)`

C

`2401s^(-1)`

D

`2601s^(-1)`

Text Solution

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The correct Answer is:
D
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In the graph between sqrt(v) and Z for the Mosley's equation sqrt(v) =a(Z-b), the intercept OX is -1 on sqrt(v) axis. What is the frequency when atomic number (Z) is 51?

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Knowledge Check

  • If the straight line is at an angle 45^(@) with b=1 calculate frequency when atomic number Z is 50.

    A
    2000
    B
    2010
    C
    2401
    D
    None

  • In Mosley's equation , sqrtv = a(Z-b) which was derived from the observations made during the bombardment of the metal target with X - rays

    A
    a is independent but b depends on the metal
    B
    Both a and b are independent of the metal
    C
    Both a and b depends on the metal
    D
    b is independent but a depends on the metal

  • According to Moseley, a straight line graph is obtained on plotting: Where, v is frequency and Z is atomic number.

    A
    v us Z
    B
    `v^(2)` us Z
    C
    `sqrt(v)` us Z
    D
    `(1)/(v)` us Z

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    If for a graph plotted between frequency of deflected X-ray beam and atomic number of the target metal (sqrtv and Z) gives a straight line with slope and intercept both as unity, then what will be the atomic number of the target metal if the observed frequency of X-rays is 2401 sec^(-1) ?

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