Final answer:
The speed of the electromagnetic wave is 2.998 x 10^8 m/s.
Step-by-step explanation:
The speed of an electromagnetic wave can be calculated using the formula v = f × λ, where v is the speed of the wave, f is the frequency, and λ is the wavelength. With a frequency of 9.74 x 10⁻¹⁶ Hz and a wavelength of 3.08 nm, we can substitute these values into the formula to find the speed:
v = (9.74 x 10⁻¹⁶ Hz) × (3.08 nm)
First, we need to convert the wavelength from nanometers to meters:
v = (9.74 x 10⁻¹⁶ Hz) × (3.08 x 10⁻¹⁹ m)
Simplifying the calculations gives us:
v = 2.998 x 10¸ m/s
Therefore, the speed of the electromagnetic wave is 2.998 x 10¸ m/s.