# What is the wavelength of blue light if it has a frequency of 6.67 x 1014 sec (Hz)?

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We know that for any kind of waves, the wavelength multiplied by its frequency is equal to its speed. That is:

Wavelength x Frequency = Speed

Or

Wavelength = Speed/Frequency

The speed of light in vacuum is 299,792,000 meters per second.

Substituting the given value of speed of light and the given value of frequency in the above equation for wavelength:

Wavelength = 299,792,000/(6.67x10^14)

= 4494.6327x10^(-10) meters

Answer:

Wavelength of blue light = 4494.6327x10^(-10) meters

Speed of light=3*10^8m/s

Frequency= 6.67*10^14Hz

Wavelength= Speed/Frequency

(3*10^8)/(6.67*10^14)

Wavelength = 4.5*10^-7m