Find the closest integer wavelength value of Kα line (in picometer) in copper (Z = 29) if the wavelength of Kα = line in iron (Z = 26) is known to be equal to193 picometer.

Question

Find the closest integer wavelength value of Kα line (in picometer) in copper (Z = 29) if the wavelength of Kα = line in iron (Z = 26) is known to be equal to193 picometer. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

By Mosely law (1/λ) propto(Z-1)2 beginarrayl (λ2/193)=((26-1)2/(29-1)2) λ2=(193 × 252/282) λ2=153.8 pm ≃ 154 pm endarray

Q. Find the closest integer wavelength value of K_α line (in picometer) in copper (Z = 29) if the wavelength of K_α = line in iron (Z = 26) is known to be equal to193 picometer.

By Mosely law $\frac{1}{λ} \propto (Z - 1)^{2}$
$\frac{λ _{2}}{193} = \frac{( 26 - 1 ) ^{2}}{( 29 - 1 ) ^{2}} λ_{2} = \frac{193 \times 2 5 ^{2}}{2 8 ^{2}} λ_{2} = 153.8 p m ≃ 154 p m$

Q. Find the closest integer wavelength value of Kα line (in picometer) in copper (Z = 29) if the wavelength of Kα = line in iron (Z = 26) is known to be equal to193 picometer.

By Mosely law λ1​∝(Z−1)2 193λ2​​=(29−1)2(26−1)2​λ2​=282193×252​λ2​=153.8pm≃154pm​

Q. Find the closest integer wavelength value of K_α line (in picometer) in copper (Z = 29) if the wavelength of K_α = line in iron (Z = 26) is known to be equal to193 picometer.

By Mosely law $\frac{1}{λ} \propto (Z - 1)^{2}$
$\frac{λ _{2}}{193} = \frac{( 26 - 1 ) ^{2}}{( 29 - 1 ) ^{2}} λ_{2} = \frac{193 \times 2 5 ^{2}}{2 8 ^{2}} λ_{2} = 153.8 p m ≃ 154 p m$