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If you mean a wave that has a frequency of 10 hz at 360 m/s, then the answer is 1/36 of a second. The period is the inverse of the wavelength and the wavelength is equal to the wave speed divided y the frequency. 360/10=36 and the inverse of 36 is 1/36.
Use a spectrometer to measure the wavelength of the light. There is a direct, but inverse correlation of the wavelength to the temperature.
The speed or velocity of a wave is equal to the wavelength times the frequency. The period (amount of time for one wavelength to occur) is equal to 1 over the frequency (the inverse of its frequency).
Period = wavelength/speed
Wavelength*Frequency = Velocity of the wave. or Wavelength/Period = Velocity of the wave.