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Q.

A metal plate of area 1×10-4 m2 is illuminated by a radiation of intensity 16 mWm2. The work function of the metal is 5 eV. The energy of the incident photons is 10 eV and only 10% of it produces photo electrons. The number of emitted photo electrons per second and their maximum energy, respectively, will be 1 eV=1.6×10-19 J 

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a

1010 and 5 eV

b

1011 and 5 eV

c

1014 and 5 eV

d

1012 and 5 eV

answer is C.

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Detailed Solution

ϕ=5 eV, E=10 eV  KEmax=E-ϕ=10-5=5 eV 

Energy incident on the plate, 

E'=16×10-3×1×10-4 Js=16×10-7 Js=1013 eVs 

Number of photo electrons emitted per second  

=10% of E'E=0.1×1013 eVs10 eV=1011 s-1 

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