The graph between the stopping potential `(V_(0)) and ((1)/(lambda)) ` is shown in the figure `phi_(1) , phi_(2) and phi_(3)` are work function , which of the following is /are correct

Options

A. Ration of work functions `phi_(1):phi_(2):phi_(3) =1:2:4`
B. Ration of work functions `phi_(1):phi_(2):phi_(3) =4:2:1`
C. `tan theta` directly proportional to `hc//e`, where `h` is Plack's constant and `c` is the speed of light
D. The violet colour light can eject photoelectrons from metals `2` and `3`.

Answer

A, C

Explanation

`eV=(hc)/lambda-phi`
`rArr V(hc)/(elambda)-phi/e=((hc)/e) (1/lambda)-phi/e`
Slope=`tan theta=(hc)/e`
`phi=(hc)/lambda rArr phi_(1):phi_(2):phi_(3)=1/lambda_(1):1/lambda_(2):1/lambda_(3)=1:2:4`