Answer:
3.70242 nm
Explanation:
Using Compton effect formula
Δλ = ( h / mec) ( 1 - cosθ)
where h is planck constant = 6.62607 × 10 ⁻³⁴ m²kg/s
me, mass of an electron = 9.11 × 10⁻³¹ kg
c is the speed of light = 3 × 10⁸ m/s
Δλ = 6.62607 × 10 ⁻³⁴ m²kg/s / (9.11 × 10⁻³¹ kg × 3 × 10⁸ m/s ) ( 1 - cos 90°) = 0.242 × 10 ⁻¹¹ m = 2.42 × 10⁻¹² m = 0.00242 nm
modified wavelength = 3.7 nm + 0.00242 nm = 3.70242 nm
