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Problem 21 Hard Difficulty

Gamma rays are photons with very high energy.
a. What is the wavelength of a gamma-ray photon with energy $1.0 \times 10^{-13} \mathrm{J} ?$
b. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of this one gamma-ray photon?

Answer

a. $2 \times 10^{-12} \mathrm{m}$
b. $2.51 \times 10^{5}$ visible light photons

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Top Physics 103 Educators
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Video Transcript

The energy for the Jamari is given by HC Over Lambda equals 6.626 time Stand to the native 34 times. Three time standard at a speed of light divided by left and it was 10 to the negative. 13 e equals a ciolos lambda. So from here, we can find that weather is a c o R e. Putting the values in, we get the energy Centenary 13 Jude. So we find that Lambda Gamma it was too damn stated on native 12 m. Now we'll be using the same formula. So this is E gamma. Now Change this to E for the visible light, which is 6.63 times 10 to the native. 34 times weekly, invisibly with a C over lambda Visible C Street and stir into the aid divided by visible light waves. And these 500 nanometer so that with amount of its people and dying 78 times gentle native. 19 Jewell. Now the number of four dawns is given by n equals e for gamma, divided by E for visible equals change the negative 13 divided by 3.978 times gender related 19. It was 2.5 times 10 to the five

Indian Institute of Technology Kharagpur
Top Physics 103 Educators
Elyse G.

Cornell University

Andy C.

University of Michigan - Ann Arbor

Farnaz M.

Simon Fraser University

Jared E.

University of Winnipeg