The expression for work function for Li is,
v0=hW0 Here, the threshold frequency is given as
v0 and the work function is
W0 Substitute the given value in above expression.
v0=6.626×10−34Js2.42×1.602×10−19J =0.584×1015s−1 The expression for work function for K is,
v0=hW0 Substitute the given value in above expression.
v0=6.626×10−34Js2.25×1.602×10−19J =0.54×1015s−1 The expression for work function for Mg is,
v0=hW0 Substitute the given value in above expression.
v0=6.626×10−34Js3.70×1.602×10−19J =0.89×1015s−1 The expression for work function for Ag is,
v0=hW0 Substitute the given value in above expression.
v0=6.626×10−34Js4.30×1.602×10−19J =1.03×1015s−1 The expression for work function for Cu is,
v0=hW0 Substitute the given value in above expression.
v0=6.626×10−34Js4.80×1.602×10−19J =1.16×1015s−1 The frequency of light is given as,
v=λc=540×10−93×108 =0.56×1015s−1 The condition at which the photoelectric effect is shown is
v>v0, which is only observed in case of Potassium.