Answer
$545nm$
Work Step by Step
*Strategy: using the formula $$\lambda\times\nu=c$$
in which
$\lambda$ : wavelength of radiation
$\nu$ : frequency of radiation
$c$ : speed of light (we take the speed of light in vacuum, so $c \approx 2.998 \times 10^8m/s$)
- Step 1: We know the radiation has a frequency of $5.50\times10^{14}s^{-1}$, so $\nu=5.50\times10^{14}s^{-1}$
- Step 2: Calculate the wavelength of radiation ($\lambda$)
$\lambda=\frac{c}{\nu}=\frac{2.998\times10^8m/s}{5.50\times10^{14}s^{-1}}\approx0.545\times10^{-6}m\approx545nm$
