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Limitations of Bohr's Model

When a metal ...

Question

When a metal of atomic number Z is used as the target in a Coolidge tube, let f be the frequency of the $K_{α}$ line. Corresponding values of Z and f are known for a number of metals. Which of the plots will give a straight line?

A

f a g a i n s t Z

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B

\frac{1}{f} a g a i n s t Z

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C

\sqrt{f} a g a i n s t Z

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D

f a g a i n s t \sqrt{Z}

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Solution

The correct option is D $\sqrt{f} a g a i n s t Z$
When the square root of the frequencies of the characteristic x-rays from the elements is plotted against the atomic number, a straight line is obtained. Moseley measured and plotted the x-ray frequencies for about 40 of the elements of the periodic table. He showed that the K-alpha x-rays followed a straight line when the atomic number Z versus the square root of frequency was plotted
The relation he found was $\sqrt{f} = a (Z - b)$ ,where a, b are constant.

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Similar questions

Q. In Coolidge tube if

f

λ

represents the frequency and wavelength respectively of

K_{α}

line for a metal of atomic number

Z

, then identify the option(s) which represents a straight line.

The frequency of $K_{α}$ line of a source of atomic number Z is proportional to

X -

ray from a tube with a target

A

of atomic number

Z

K -

lines for target

A

K -

lines for impurities. The wavelength of

K_{α}

λ_{α}

A

λ_{1}

λ_{2}

for two impurities.

\frac{λ_{α}}{λ_{1}} = 4 and \frac{λ_{α}}{λ_{2}} = \frac{1}{4}

Assuming the screening constant of

K_{α}

lines to be unity. The atomic number of the impurities

Z_{1}

Z_{2}

Q. X-ray from a tube with a target A of atomic number

Z

K_{α}

lines for target A and two weak

K_{α}

lines for impurities. The wavelength of

K_{α}

λ_{0}

for target A and

λ_{1}

λ_{2}

for two impurities respectively.

\frac{λ_{0}}{λ_{1}} = 4

\frac{λ_{0}}{λ_{2}} = \frac{1}{4} .

The screening constant of

K_{α}

lines is unity. Select the correct alternative(s) :

Q. X-ray from a tube with a target

A

of atomic number

Z

K

lines for target

A

K

lines for impurities. The wavelength of

K_{α}

λ_{z}

A

λ_{1}

λ_{2}

for two impurities.

\frac{λ_{z}}{λ_{1}} = 4 a n d \frac{λ_{z}}{λ_{2}} = \frac{1}{4}

Assuming the screening constant of

K_{α}

lines to be unity, select the correct statement(s)

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