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What is the frequency of light #(s^-1)# that has a wavelength of #3.86 * 10^-5# #cm#?

Answer 1

#7.77 * 10^14s^(-1)#

An electromagnetic wave is given its wavelength, and we are asked to determine its frequency. The relevant equation is:

λ = c/ν where wavelength is in m, and c is the speed of light #(3.00 * 10^8 m/s)# Convert the given wavelength into meters: #3.86⋅10^−5 cm * ("1m"/"100cm") = 3.86⋅10^(−7) m# # (3.86 * 10^2nm – blue light)#

#ν = c/λ = (3.0 x 10^8m/s)/(3.86 * 10^(-7)m) = 0.777 * 10^15s^(-1)#

= #7.77 * 10^14s^(-1)#

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Answer 2

Avery Adams

Light with a wavelength of 3.86 * 10^-5 cm has a frequency of about 7.77 * 10^12 s^-1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.