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

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mirilo9 | Student, Grade 10 | eNoter

Posted November 1, 2010 at 9:07 AM via web

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

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krishna-agrawala | College Teacher | Valedictorian

Posted November 1, 2010 at 11:15 AM (Answer #1)

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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

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apkos | Student, Grade 10 | eNoter

Posted November 1, 2010 at 10:05 AM (Answer #2)

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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.
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Jyotsana | Student, Grade 10 | Valedictorian

Posted February 21, 2014 at 11:16 PM (Answer #3)

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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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