The Hitomi satellite recently observed the Lyman alpha emission line ( n = 2 to n = 1 ) of hydrogen-like iron ion (atomic number of iron is 26 ) from the Perseus galaxy cluster. The wavelength of the line is closest to

Step-by-step solution

Using Balmer's formula, wavelength λ of emission from ion is 1 λ = R Z 2 1 n f 2 - 1 n i 2 Here, Rydberg constant, R = 109 × 10 7   m - 1 Atomic number of iron, Z = 26 n i = 2 , n f = 1 ∴ 1 λ = 109 × 10 7 × 26 2 × 1 1 2 - 1 2 2 ⇒ λ = 18 × 10 - 10   A o or λ ≈ 2   A o