A laser used in lasik laser eye surgery has a wavelength of...

A laser used in LASIK laser eye surgery has a wavelength of 193 nm. What is the frequency in hertz and the energy in joules of one photon of radiation of this laser? (E=hn), h = Planck's constant, 6.63 x 10^-34 J sec (a) LASIK eye laser, Î» = 193 nm (b) A CO2 laser used in dermatology for skin resurfacing operates at a frequency of n = 2.828 x 10^7 s^-1. What is the wavelength of this electromagnetic radiation? What is the energy in joules of one photon of radiation of this laser?

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Transcript

00:01 We have two problems to solve.

00:03 Actually, several problems, but two scenarios.

00:06 First, we are given that we have lasic laser eye surgery with a 193 nanometer wavelength, and we're asked to find the energy, the frequency in hertz, and the energy of one photon.

00:37 We're told that we're going to use energy equals plunks constant times.

00:46 New and plunks constant is 6 .63 times 10 to the minus 34th joules seconds.

01:06 Okay so what are we going to do here first is convert our 193 nanometers to meters we know that there are one times 10 to the ninth nanometers per one meter so this will be 1 .93 times 10 to the minus seventh meters.

01:32 Let me verify this.

01:50 1 .93 times 10 to the minus 7 meters.

01:52 And i know that my frequency will be equal to the speed of the life, light divided by lambda, which will be 3 .00 times 10 to the 8th meters per second, divided by 1 .93 times 10 to the minus 7 meters.

02:23 Okay, 3 times 10 to the 8th divided by 1 .93, 10 to the minus 7th equals 1 .55 times 10 to the 15th hertz or s to the minus 1.

02:46 Now my energy for one photon will be equal to the plunks constant, which again we were given as this number.

03:05 Times 1 .55 times 10 to the 15th hertz.

03:15 So 1 .5 times 10 to the 15th 6 .63 times 10 to the minus 34ths and we get 1 .03 times 10 to the minus 18th joules...

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