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Q.

Consider white light whose wavelength spread is from 400nm to 700nm. Its energy is uniformly distributed in this spectrum. The light is incident on a metal A of work function 1.55eV. Saturation photo current is 6mA. Now the same light is incident on metal B, work function 2.48eV. Choose the correct options. [Take hc = 1240 eV nm. Assume photo efficiency remains same] 

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a

Stopping potential for experiment with metal B is 0.62 V  

b

Stopping potential for experiment with metal A is 0.22 V  

c

Saturation photo current for metal B will be 2mA  

d

Saturation photo current for metal B will be  1811 mA 

answer is B, D.

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Detailed Solution

Kmax=hCλminϕ

For A Kmax=3.11.55=1.55eV 
For B  Kmax=3.12.48=0.62eV
In experiment with metal A complete spectrum is able to eject photo electrons but for metal B spectrum from 400nm to 500nm, will be able to eject photo electrons. Number of photons in spectrum 400nm to 500nm will be less than 1/3 of total photons in white light.

400700P(hCλ)  dλ=K I1400500P(hCλ)  dλ=K I1I2=1811mA

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