In an experiment on photoelectric effect the stopping potentail was measured to be `V_(1)` and `V_(2)` with incident light of wavelength `lambda` and `(lambda)/(2)` respectively.The relation between `V_(1)` and `V_(2)` is….

Options

A. `V_(2)gt2V_(1)`
B. `V_(2)ltV_(1)`
C. `V_(2)ltV_(2)lt2V_(1)`
D. `V_(2)=2V_(1)`

Answer

A

Explanation

`V_(1)=(hc)/(elambda)-(phi)/(e )implies(hc)/(elambda)=V_(1)+(phi)/(e)implies(2hc)/(elambda)=2V_(1)+(2phi)/(e )`
`V_(2)=(2hc)/(elambda)-(phi)/(e )-(2hc)/(elambda)=V_(2)+(phi)/(e )`……(2)
Equation (1) and (2) are same .
`therefore V_(2)+(phi)/(e )=2V_(1)+(2phi)/(e )`
`therefore V_(2)=2V_(1)+(phi)/(e)`
`therefore V_(2)gt2V_(1)`