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

3 Answers

krishna-agrawala's profile pic

krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted on

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


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


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

Jyotsana's profile pic

Jyotsana | Student, Grade 10 | (Level 1) Valedictorian

Posted on

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

Frequency= 6.67*10^14Hz

Wavelength= Speed/Frequency


Wavelength = 4.5*10^-7m

apkos's profile pic

apkos | Student, Grade 10 | (Level 2) eNoter

Posted on

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.