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a) Compute the energies (in J) of a photon of light produced by: a solid state N

ID: 1587023 • Letter: A

Question

a) Compute the energies (in J) of a photon of light produced by: a solid state Nd:YAG laser with wavelength 1064 nm; an argon ion laser with wavelength 488 nm, and an excimer Xe-Cl laser with wavelength 308 nm. Which laser produces the most energetic photon?

b) What type of electromagnetic radiation does each of these wavelengths correspond to? If the answer is visible light, what is its color?

c) Which of these lasers produce photons of light with energy sufficient to break a chemical bond of energy 6 10-19 J?

Explanation / Answer

a. wavelength and energy are related by E = hc/L

where h is plancks constant

c is speed of light

L is wavelength

so as E and L are inversly related,

to produce mire energytic photon, wavelength must as small

so here it is 308 nm i. e Xe-Cl laser

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b. 1064 nm corresponds to radia waves

488 nm corresponds to visible light , more precisely blue coloured light

308 corresponds to UV region

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for L1 = 1064 nm

E1 = (6.626*10^-34 * 3*10^8)/(1064 *10^-9)

E1 = 1.86 *10^-19 J

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for L2 = 488nm

E2 =   (6.626*10^-34 * 3*10^8)/(488 *10^-9)

E2 = 4.1*10^-10 J

for L3 = 308 nm

E3 = (6.626*10^-34 * 3*10^8)/(308 *10^-9)

E2 = 6 *10^-19 J

so Xe -Cl laser of wavelength 308 nm produces 6*10^-19 J of energy