The work function for a certain metal is 4.2 eV. Will this metal give photoelectric emission for incident radiation of wavelength 330 nm?

Explanation

Work function of metal `phi_(0)` =4.2 eV
Wavelength of incident radiation
`lambda=330 nm=33xx10^(-8)m`
`h=6.625xx10^(-34) Js,c=3xx10^(8)ms^(-1)`,
`1eV=1.6xx10^(-19)J`
`impliesE=v=(hc)/(lambda)(in eV)`
`therefore E=(6,624xx10^(-34)xx3xx10^(8))/(33xx10^(-8)xx1.6xx10^(-19))`
`therefore E=3.7642 eV`
`thereforeE~~3.76 eV`
`therefore Eltphi_(0)` hence photoelectric emission will not take place.