Q.

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

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a

Stopping potential for experiment with metal A is 0.22 V

b

Stopping potential for experiment with metal B is 0.62 V

c

Saturation photo current for metal B will be 2 mA

d

Saturation photo current for metal B will be less than 2 mA

answer is B.

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Detailed Solution

Kmax=hCλminϕEnergy of photon having wavelength 400nm=124004000ev = 3.1 evEnergy of photon having wavelength 700 nm =124007000ev = 1.77 evEnergy of photon having wavelength 500 nm = 124005000ev =2.48 ev  For AKmax=3.11.55=1.55eV For BKmax=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.
 

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