The stopping potential V0 (in volt) as a function of frequency (n) for a sodium emitter, is shown in the figure. The work function of sodium, from the data plotted in the figure, will be : (Given : Planck's constant (h) = 6.63 × 10–34 Js, electron charge e = 1.6 × 10

Foundation

Physics

Photoelectric Effect Einsteins Equation

Question

The stopping potential V₀ (in volt) as a function of frequency (n) for a sodium emitter, is shown in the figure. The work function of sodium, from the data plotted in the figure, will be :

(Given : Planck's constant (h) = 6.63 × 10^–34 Js, electron charge e = 1.6 × 10^–19 C)

1.95 eV

1.66 eV

1.82 eV

2.12 eV

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hν = φ + ev₀

$v_{0} = \frac{hν}{e} - \frac{ϕ}{e}$

v₀ is zero for n = 4 × 10¹⁴ Hz

$0 = \frac{hν}{e} - \frac{ϕ}{e}$

⇒ φ = hν

$= \frac{6 .63 \times 10^{- 33} \times 4 \times 10^{14}}{1 .6 \times 10^{- 19}} = 1 .66 eV$