The wavelength of Kα line for an element of atomic number 29 is λ. The wavelength of Kα line for an element of atomic number 15 is β λ. Find β. (Take Moseley's constant, b=1 for both elements)

Question

The wavelength of Kα line for an element of atomic number 29 is λ. The wavelength of Kα line for an element of atomic number 15 is β λ. Find β. (Take Moseley's constant, b=1 for both elements) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

(1/λ) propto(Z-b)2; (λ2/λ1)=((Z1-b)/(Z2-b))=((28/14))2=4 λ2=4 λ1=4 λ

Q. The wavelength of $K_{α}$ line for an element of atomic number $29$ is $λ$ . The wavelength of $K_{α}$ line for an element of atomic number $15$ is $β λ$ . Find $β$ . (Take Moseley's constant, $b = 1$ for both elements)

$\frac{1}{λ} \propto (Z - b)^{2}$ ;
$\frac{λ _{2}}{λ _{1}} = \frac{( Z _{1} - b )}{( Z _{2} - b )} = (\frac{28}{14})^{2} = 4$
$λ_{2} = 4 λ_{1} = 4 λ$

Q. The wavelength of Kα​ line for an element of atomic number 29 is λ. The wavelength of Kα​ line for an element of atomic number 15 is βλ. Find β. (Take Moseley's constant, b=1 for both elements)

λ1​∝(Z−b)2; λ1​λ2​​=(Z2​−b)(Z1​−b)​=(1428​)2=4 λ2​=4λ1​=4λ

Q. The wavelength of $K_{α}$ line for an element of atomic number $29$ is $λ$ . The wavelength of $K_{α}$ line for an element of atomic number $15$ is $β λ$ . Find $β$ . (Take Moseley's constant, $b = 1$ for both elements)

$\frac{1}{λ} \propto (Z - b)^{2}$ ;
$\frac{λ _{2}}{λ _{1}} = \frac{( Z _{1} - b )}{( Z _{2} - b )} = (\frac{28}{14})^{2} = 4$
$λ_{2} = 4 λ_{1} = 4 λ$