Modern physics What frequency of light is needed to produce electrons of kenitic energy 3eV from...

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Question

Modern physics

What frequency of light is needed to produce electrons of kenitic energy 3eV from illumination of lithium ?

Work functions of lithium 2.9 eV . What is the wavelength of the incident light?

Answer 1

Answer #1

Kinetic Energy of the electrons generated as a result of photoelectric effect = 3eV

Work Function of Lithium = 2.9 eV

so, Energy of the incident photon will be:

E = 2.9 + 3 = 5.9 eV = 5.9 x 1.6 x 10^-19 J

also, $E = \frac{hc}{\lambda}$

=> $5.9\times 1.6\times 10^{-19} = \frac{(6.626\times 10^{-34})(3\times 10^8)}{\lambda}$

therefore, $\lambda = 2.1057\times 10^{-7}m = 210.57 nm$ .

this is the wavelength of the light needed. For this, the frequency will be: f = E/h = 1.424 x 10¹⁵ Hz.

Answer 2

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