Cesium has a binding energy (“work function”) of 1.8 eV. When cesium is illuminated with a...

Cesium has a binding energy (“work function”) of 1.8 eV. When cesium is illuminated with a light of a certain wavelength, the electrons ejected from the surface have a kinetic energy of 2.2 eV. What is the wavelength (nm) of the light?

Expert Solution

Given work function = 1.8 ev = 1.8*1.6*10-19 = 2.88*10-19 J

Kinetic energy K = 2.2 ev = 2.2*1.6*10-19 = 3.52 *10-19 J

By using formula total energy E = + K

hc/ = + K (where h = Planck's constant = 6.62*10-34 Js & c = velocity of light = 3*108m/s & = wevelength)

6.62*10-34 * 3*108 / = 2.88*10-19 + 3.52 *10-19

19.86 *10-26 / = 6.4*10-19

19.86 *10-26 = 6.4*10-19 *

= 19.86 *10-26 /6.4*10-19

= 3.103 *10-7

= 310.3 *10-9 m

or = 310.3 nm .......................................Ans

genius_generous answered 2 years ago

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