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← JEE Advanced 2014 · Paper 2
PhysicsSingle correct+3 / -1Question 8 of 60

JEE Advanced 2014 · Paper 2, Physics question 8

If λCu\lambda_{Cu} is the wavelength of KαK_\alpha X-ray line of copper (atomic number 29) and λMo\lambda_{Mo} is the wavelength of the KαK_\alpha X-ray line of molybdenum (atomic number 42), then the ratio λCu/λMo\lambda_{Cu}/\lambda_{Mo} is close to

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Answer and worked solution

Official answer: B

Moseley's law for KαK_\alpha: 1λ∝(Z−1)2\dfrac1\lambda\propto(Z-1)^2.
λCuλMo=(42−129−1)2=(4128)2≈2.14.\frac{\lambda_{Cu}}{\lambda_{Mo}}=\left(\frac{42-1}{29-1}\right)^2=\left(\frac{41}{28}\right)^2\approx2.14.

(B)