Two elements X and Y with atomic numbers ZX and ZY- produce X-rays with frequencies -X and -Y- If the frequencies are in the ratio 16-9- then the corresponding atomic numbers ratio is -

According to Moseley's law, √(ν)∝ Z Then we have, √(ν)_X√(ν)_Y=Z_XZ_Y √(16)√(9)=Z_XZ_Y So, Z_XZ_Y=43 Hence, option (A) is correct. ...

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Standard XII

Chemistry

Introduction to Atomic Structure

Two elements ...

Question

Two elements $X$ and $Y$ with atomic numbers $Z_{X}$ and $Z_{Y}$ , produce X-rays with frequencies $ν_{X}$ and $ν_{Y}$ . If the frequencies are in the ratio $16 : 9$ , then the corresponding atomic numbers ratio is :

4 : 3

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3 : 4

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16 : 9

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9 : 16

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Solution

The correct option is A $4 : 3$
According to Moseley's law,

$\sqrt{ν} \propto Z$

Then we have,

$\frac{{\sqrt{ν}}_{X}}{{\sqrt{ν}}_{Y}} = \frac{Z_{X}}{Z_{Y}}$

$\frac{\sqrt{16}}{\sqrt{9}} = \frac{Z_{X}}{Z_{Y}}$

So, $\frac{Z_{X}}{Z_{Y}} = \frac{4}{3}$

Hence, option $(A)$ is correct.

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Two elements X and Y with atomic numbers ZX and ZY, produce X-rays with frequencies νX and νY. If the frequencies are in the ratio 16:9, then the corresponding atomic numbers ratio is :

The correct option is A 4:3According to Moseley's law, √ν∝Z Then we have, √νX√νY=ZXZY √16√9=ZXZY So, ZXZY=43 Hence, option (A) is correct.

Two elements $X$ and $Y$ with atomic numbers $Z_{X}$ and $Z_{Y}$ , produce X-rays with frequencies $ν_{X}$ and $ν_{Y}$ . If the frequencies are in the ratio $16 : 9$ , then the corresponding atomic numbers ratio is :

The correct option is A $4 : 3$
According to Moseley's law,

$\sqrt{ν} \propto Z$

Then we have,

$\frac{{\sqrt{ν}}_{X}}{{\sqrt{ν}}_{Y}} = \frac{Z_{X}}{Z_{Y}}$

$\frac{\sqrt{16}}{\sqrt{9}} = \frac{Z_{X}}{Z_{Y}}$

So, $\frac{Z_{X}}{Z_{Y}} = \frac{4}{3}$

Hence, option $(A)$ is correct.