Question

# Photoelectric work function of a metal is 1eV. Light of wave length =3000 falls on it. The photo electron come out with velocity

A
10 m/sec
B
100 m/sec
C
10000 m/sec
D
1000000 m/sec
Solution
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#### Work function of metal surface ϕ=1 eVWavelength of incident photon λ=3000 Ao=300 nmEnergy of incident photon E=1240λ (innm) eV=1240300=4.13 eVUsing 12mv2max=E−ϕ∴ 12mv2max=4.13−1=3.13 eV∴12×9.1×10−31v2max=3.13×1.6×10−19⟹ vmax=1×106 m/s=1000000 m/sCorrect answer is option D.

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