Graph of cut -off potential `(V_0)` versus frequency (f) for same intensity of light for metal plates A and B are as shown in the figure below. Choose the correct statement.

Options

A. Work function of metal A is greater than work function of metal B
B. Work function of metal A is less than work function of metal B
C. Work function of metal A is equal to work function of metal B
D. Both line have same intercept

Answer

B

Explanation

`hf =hf_0+eV_0`
`:. eV_0 = hf-hf_0`
`V_0 =(hf)/e - (hf_0)/e`
As `("Intercept")_B gt ("Intercept")_A`
`((hf_0)/e)_B gt ((hf_0)/e)_A`
`:. Phi_A lt phi_B`