When a photon of energy equals to ionization
energy of hydrogen atom, illuminates a metal,
the photoelectrons emitted have maximum
kinetic energy so that they can just excite a
hydrogen atom at ground state. Work function
of the metal is:
(1) 10.2 eV
(2) 2.8 eV
(3) 3.4 eV
(4) 6.8 eV
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Ionization energy of hydrogen = 13.6
Max KE so they just excite at ground state
= 13.6 ( 1 -1/4) ( from ground to 1 st excited that is 2 nd)
= 13.6 × 3/4
E = W + KE
W = E - KE
= 13.6 - 13.6( 3/4)
= 13.6 /4 = 3.4 ev
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