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Q.

When a metal surface is illuminated by light of wavelengths 400 nm and 250 nm, the maximum velocities of the photoelectlons ejected are v and 2v respectively. The work function of the metal is (h : Planck's constant, c : velocity of light in air)

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a

2hc×106J

b

1.5hc×106J

c

hc×106J

d

0.5hc×106J

answer is A.

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Detailed Solution

By  using  hcλ=Wo+12mv2⇒hc400×10−9=Wo+12mv2  .   .    .    .    iand   hc250×10−9=Wo+12m2v2  .   .    iion  solving  i  and  ii12mv2−hc31250×10−9−1400×10−9  .  iiiFrom  equation  i  and  iii,  Wo=2hc×106J.
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