Calculate the frequency of each of the following wavelengths of electromagnetic radiation. A) 632.8 nm (wavelength of red light from a helium-neon laser) Express your answer using three significant figures. B) 503 nm (wavelength of maximum solar radiation) Express your answer using three significant figures. C) 0.0520 nm (a wavelength used in medical X rays) Express your answer using three significant figures.

Question

Calculate the frequency of each of the following wavelengths of electromagnetic radiation.   A) 632.8 nm (wavelength of red light from a helium-neon laser) Express your answer using three significant figures.   B) 503 nm (wavelength of maximum solar radiation)  Express your answer using three significant figures.   C) 0.0520 nm (a wavelength used in medical X rays)  Express your answer using three significant figures.

Cassandra Ramirez · Accepted Answer

Step 1  Given: We have to calculate the frequency of each of the following wave length of electromagnetic radiation.  A) Wave length (λ)=632.8nm=632.8×10−9m.  Velocity (c)=3×108ms  Frequency (ν)=?  Now, C=λν  ⇒ν=cλ=3×108632.8×10−9=4.74×1014Hz.  Hence, the frequency is 4.74×1014Hz  B) wave length (λ)=503nm=503×10−9m  velocity (c)=3×108ms  Frequency (ν)=?  Now, ν=Cλ=3×108503×10−9=5.96×1014Hz  Hence, the frequency is 5.96×1014Hz  c) wave length (λ)=0.052nm=0.052×10−9m  velocity (c)=3×108ms  Frequency (ν)=?  Now, ν=cλ=3×1080.052×10−9=5.77×1018Hz  Hence, the frequency is 5.77×1018Hz

Jenny Sheppard · Accepted Answer

b) We know energy of photon is given by:  E=hν=hcλ  where, h=planles constant  c=speed of light  λ=wave length  ν=frequency  h=6.626×10−34Js  c=3×108ms [on 2.998×108ms]  λ=503nm=5.03×10−7m  Putting the values  E=6.626×10−34×3×1085.03×10−7J  E=19.878×10−195.03  E=3.95×10−19J

nick1337 · Accepted Answer

A) The wavelength of red light from a helium-neon laser is 632.8 nm.The formula to calculate the frequency of electromagnetic radiation is:f=cλ where f is the frequency, c is the speed of light, and λ is the wavelength.Substituting the given values:f=3.00×108m/s632.8×10−9mSimplifying the expression:f=3.00632.8×1017HzRounding the result to three significant figures:f=4.74×1014HzTherefore, the frequency of red light with a wavelength of 632.8 nm is 4.74×1014Hz.B) The wavelength of maximum solar radiation is 503 nm.Using the same formula as before:f=3.00×108m/s503×10−9mSimplifying:f=3.00503×1017HzRounding to three significant figures:f=5.97×1014HzHence, the frequency of radiation with a wavelength of 503 nm is 5.97×1014Hz.C) The wavelength used in medical X-rays is 0.0520 nm.Using the same formula:f=3.00×108m/s0.0520×10−9mSimplifying:f=3.000.0520×1017HzRounding to three significant figures:f=5.77×1018HzTherefore, the frequency of X-rays with a wavelength of 0.0520 nm is 5.77×1018Hz.

Don Sumner · Accepted Answer

A) To calculate the frequency of a wavelength, we can use the formula:Frequency=cλ where c is the speed of light and λ is the wavelength.For a wavelength of 632.8 nm:Frequency=3.00×108m/s632.8×10−9mB) For a wavelength of 503 nm:Frequency=3.00×108m/s503×10−9mC) For a wavelength of 0.0520 nm:Frequency=3.00×108m/s0.0520×10−9mNow, let&#039;s calculate the frequencies:A) For 632.8 nm:Frequency =3.00×108632.8×10−9 HzB) For 503 nm:Frequency =3.00×108503×10−9 HzC) For 0.0520 nm:Frequency =3.00×1080.0520×10−9 Hz

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