A photosensitive metallic surface has work function . If photon of energy 3 falls on the surface, the electron comes out with a maximum velocity of 6 10^6 ~m / s . When the photon energy is increased to 9 , then maximum velocity of photoelectrons will be

Step-by-step solution

aligned & For photoelèctric effect, & K . E _ = E - ₀ & Given: E₁=3 ₀ and E₂=9 ₀ & From (i), & K . E₁=3 ₀- ₀=2 ₀ & K . E₂=9 ₀- ₀=8 ₀ . & But, K E₁= 1 2 mv ₁^2 and K E ₂= 1 2 mv ₂^2 & ~K E ₁ ~K E ₂ = v ₁^2 v ₂^2 = 1 4 & v ₂=2 v ₁ & v ₂=2 6 10^6=12 10^6 ~m / s aligned