Question

What wavelength of radiation has photons of energy 5.44 x 10-18 J?

In what portion of the EM spectrum would this radiation be found?

Answer 1

λ = 37 nm

Radiation is in the ultra violet region.

Step-by-step explanation:

Given data:

Energy of photon = 5.44 × 10 ⁻¹⁸ J

Wavelength of photon = ?

Solution:

E = h.c / λ

λ = h. c/ E

λ = 6.63× 10⁻³⁴m² kg/s × 3×10⁸ m/s / 5.44 × 10 ⁻¹⁸ Kg m²/s²

λ = 19.89 × 10⁻²⁶ kg. m³ /s² / 5.44 × 10 ⁻¹⁸ Kg m²/s²

λ = 3.7 × 10⁻⁸ m

m to nm conversion.

λ = 3.7 × 10⁻⁸m ×10⁹ nm / 1m

λ = 37 nm

Radiation is in the ultra violet region because the rage of UV is 1 nm - 400 nm.