Please show all steps Your trusty 1 mW He-Ne laser beam has a wavelength lambda

Question

Please show all steps

Your trusty 1 mW He-Ne laser beam has a wavelength lambda = 632.8 nm. Perform the following calculations, or answer the following questions about your prized possession: 1) calculate the energy, E, of the He-Ne laser beam in electron volts (eV); 2) what color does this laser beam's wavelength correspond?; 3) If this laser beam is focused into a 1 carat diamond, with index of refraction n = 2.42, calculate the speed of the He-Ne laser beam, as you check the quality of your purchase at Zale's Diamonds, with your best girl. a. E = 1.96 eV; Color is in the visible range, and is red; v = 1.24 times 10^8 m/sec. b. E = 1.6 times 10^-19 eV; color is not in the visible range; v = 3 times 10^8 m/sec. c. E = 2.5 eV; Color is in the visible range, and is green; v = 1.24 times 10^8 m/sec. d. E = 3.03 eV; Color is in the visible range, and is violet; v = 4 times 10^8 m/sec.

Explanation / Answer

3) 1)

lamda = wavelength = 632.8 x 10-9 m

energy is given as

E = hc/lamda

E = (6.63 x 10-34) (3 x 108)/( 632.8 x 10-9) = 3.14 x 10-19 J = ( 3.14 x 10-19)/(1.60 x 10-19)

E = 1.96 eV

2)

red light

3)

v = c /n

v = (3 x 108)/2.42

v = 1.24 x 108 m/s

so option a)

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