First slide

Photoelectric effect and study of photoelectric effect

Question

A sodium metal piece is illuminated with light of wavelength 0.3 $μ m$ . The work function of sodium is 2.46 eV. For this sifuation, mark out the correct statement(s).

Moderate

A

The maximum kinetic energy of the ejected photoelectrons is 1.68 eV
B

The cut-off wavelength for sodium is 505 nm
C

The minimum photon energy of incident light for photoelectric effect to take place is 2.46 eV
D

All of the above

Solution

$\begin{array}{l} K_{max} = h v - ϕ \\ = (\frac{6.63 \times 10^{- 34} \times 3 \times 10^{8}}{0.3 \times 10^{- 6} \times 1.6 \times 10^{- 19}} - 2.46) eV = 1.68 eV \\ Cut-off wavelength, λ_{0} = \frac{h c}{ϕ} = 505 nm \end{array}$
The minimum energy required to eject the photo-electrons is equal to work function.

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