Q.

Silver has a work function of 4.7 eV. When ultraviolet light of wavelength 100 nm is incident upon it, a potential of 7.7 V is required to stop the photoelectrons from reaching the collector plate. How much potential will be required to stop the photoelectrons when light of wavelength 200 nm is incident upon silver?

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a

1.5 V

b

3.85 V

c

2.35 V

d

15.4 V

answer is A.

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Detailed Solution

λ1=12375E1(eV)Å=1000Å∴ E1=12.375eV Similarly, 12375λ2(Å)eV=123752000=6.1875eV Now, E1−W0=eVs and E2−W0=eVS Hence, 12.375−W0=7.7eV and 6.1875−W0=eVs′ Solving, we get Vs′=1.5V
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