What is the wavelength of blue light if it has a frequency of 6.67 x 10^{14} 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

You Would get 4.50 x 10^-7 m. How you get this, is you plug in everything you know into the equation: c=wavelength x frequency.
C is 3.00 x 10^8 and we know the wavelength.
3.00 x 10^8 m/s= 6.67 x 10^14 hz(frequency)
Divide both sides by your wavelength, and round to sig figs. When rounding to sig figs (in this case), always look at the amount of sig figs in your original problem (6.67). Never refer to the constants- examples: planck's constant or the speed of light.

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

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