Answer:
364 nm
Explanation:
The formula for the energy (E) of a photon in terms of its wavelength λ is
E = hc/λ
We can rearrange this formula to give
λ = hc/E
If E = 5.45 × 10⁻¹⁹ J, then
[tex]\begin{array}{rcl}\lambda& = & \dfrac{6.626 \times 10^{-34} \text{ J$\cdot$s} \times 2.998 \times 10^{8}\text{ m$\cdot$ s}^{-1}} {5.45 \times 10^{19} \text{ J}}\\\\& = & 3.64 \times 10^{-7} \text{ m}\\& = & \textbf{364 nm}\\\end{array}\\[/tex]
