JEE Main · 2023 · 06 Apr 2023 · Shift 2 · Modern Physics

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

(A)1.24
(B)2
(C)1✓ Correct
(D)1.5

Answer: (C)

Solution

Einstein's photoelectric equation

e V_{s} = h f - ϕ

gives

V_{s} = \frac{h}{e} f - \frac{ϕ}{e}

, so the slope of a stopping-potential versus frequency graph is

\frac{h}{e}

. This slope is a universal constant and is independent of the metal or its work function. The ratio of the slope for gold to that for aluminium is

1

JEE Main · 2023 · 06 Apr 2023 · Shift 2 · Single correct option

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