When ultraviolet light of wavelength 100 nm is incident upon silver plate, 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 photoelectons when light of wavelength 200 nm is incident upon silver?

Options

A. 1.5V
B. 3.85V
C. 2.35 V
D. 15.4V

Answer

A

Explanation

`lamda_(1)=(12375)/(E_(1)(eV))`Å=1000Å
`thereforeE_(1)=12.375`eV
similarly, `E_(2)=(12375)/(lamda_(2)("Å"))eV=(12375)/(2000)=6.1875eV`
Now, `E_(1)-W_(0)=eV_(S) and E_(2)-W_(0)=eV_(S)`
`implies 12.375-W_(0)=7.7eV_(S)` . . (i)
`6.1875-W_(0)=eV_(S)` . .. (ii)
Solving the above equations, we get `V_(S)=1.5V`.