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1. Photoelectrons from Sodium A sodium surface is illuminated with light of wavelength 0.300 _m. The work function for sodium is 2.46 eV. (a) Calculate the energy of each photon in electron volts, (b)...

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1. Photoelectrons from Sodium

A sodium surface is illuminated with light of wavelength 0.300 _m. The work function for sodium is 2.46 eV. (a) Calculate the energy of each photon in electron volts, (b) the maximum kinetic energy of the ejected photoelectrons, and (c) the cutoff wavelength for sodium.

2. Scattering X-Rays

X-rays of wavelength λ0 = XXXXXXXXXXnm are scattered from a block of material. The scattered x-rays are observed at an angle of 45.0° to the incident beam.

(a) Calculate the wavelength of the x-rays scattered at this angle.

(b) Compute the fractional change in the energy of a photon in the collision.

Answered Same Day Dec 24, 2021

Solution

Robert answered on Dec 24 2021
123 Votes
1)
1)
1 eV = 1.602 x 10-19 j
a) E = hf = hc/λ = 6.63 x 10-34 x 3 x 108 /(0.3 x 10-6) = 66.3 x 10-20 j = 66.3 x 10-20 / (1.602 x 10-19 ) eV = 41.4 x 10-1 = 4.14 eV
) hf = f + KEmax => 4.14 = 2.46 + KEmax => KEmax = 1.68 eV
c) λcut-off = hc/f => λcut-off = 6.63 x 10-34 x 3 x 108 /(2.46 x 1.602...
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