Final answer:
The speed of the wave with a period of 0.056 s and a wavelength of 3.6 x 10^8 nm is 6.43 x 10^9 m/s.
Step-by-step explanation:
The speed of a wave can be calculated using the equation:
speed = wavelength x frequency
Given that the period (T) is the reciprocal of the frequency (f), we can rewrite the equation as:
speed = wavelength / period
Substituting the values given in the question, we have:
speed = (3.6 x 10^8 nm) / (0.056 s)
Converting the wavelength to meters (1 nm = 10^-9 m) and performing the calculation, we get:
speed = (3.6 x 10^8 nm) / (0.056 s) = 6.43 x 10^9 m/s