When light of frequency Hz is incident on metal surface area, the maximum kinetic energy of photoelectrons is 0.500 eV. What is the work function of metal?
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Einstein's photoelectric equation -
h ν = K . E . p h o t o e l e c t r o n + W 0 , where W 0 is the work function of the target, h = 6 . 6 2 7 × 1 0 − 3 4 J-s is the Planck's constant. Given ν = 8 . 6 × 1 0 1 4 Hz. So h ν = 5 6 . 9 9 2 2 × 1 0 − 2 0 Joules = 1 . 5 9 × 1 0 − 1 9 5 6 . 9 9 2 2 × 1 0 − 2 0 ≈ 3 . 5 6 2 eV. Therefore W 0 = 3 . 5 6 2 − 0 . 5 0 0 = 3 . 0 6 2 ≈ 3 . 1 eV.