Answer
(a) $3.00 \times 10^{-7}m$
(b) 300. nm
Work Step by Step
Frequency $\times$ Wavelength = Velocity
Speed of light: $2.998 \times 10^{8} m/s$
$9.99 \times 10^{14} \times λ = 2.998 \times 10^{8}$
$λ = \frac{2.998 \times 10^{8}}{9.99 \times 10^-7} = 3.00 \times 10^{-7}$
(a) $3.00 \times 10^{-7}m$
1 nanometer = $10^{-9}m$
$3.00 \times 10^{-7}m \times \frac{1 nm}{10^{-9}m} = 300. nm$
(b) 300. nm.