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Q.

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

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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

answer is D.

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Detailed Solution

Kmax=hv−ϕ=6.63×10−34×3×1080.3×10−6×1.6×10−19−2.46eV=1.68eV Cut-off wavelength, λ0=hcϕ=505nmThe minimum energy required to eject the photo-electrons is equal to work function.
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