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Q.

A surface is irradiated with ultra violet radiation of wavelength 0.2  μm. if the  maximum velocity of electron liberated from the surface is 8.8 x 105 m/s then the work function of the surface is

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a

3 eV

b

5 eV

c

5eV

d

6eV

answer is D.

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Detailed Solution

E=hcλ =6⋅6×10−34×3×1080⋅2×10−6=9⋅9×10−19J Further, E=12mv2+W0  or  W0=E−12mv2 W0=9⋅9×10−19−12×9⋅1×10−31×8⋅8×1052  or W0=9⋅9×10−19−3⋅52×10−19  or Wn=6⋅38eV≈6eV
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