The work functions of Aluminium and Gold are 4.1 eV and and 5.1 eV respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is
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Question

The work functions of Aluminium and Gold are 4.1 eV and and 5.1 eV respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is

G1 Physics · Accepted Answer

Einstein's photoelectric equation is eV(s) = hν − ϕ Therefore, V(s) = (h/e)ν − ϕ/e The slope of a V(s) versus ν graph is h/e, which is independent of the metal and its work function. Hence the slopes for gold and aluminium are equal. Ratio = 1. Hence option A follows.