Answer:
Given, work function, \[{{\phi }_{0}}=4eV=4\times 1.6\times {{10}^{-19}}\] \[{{\phi }_{0}}=6.4\times {{10}^{-19}}J\] Wavelength of radiation, \[\lambda =300\,nm=300\times {{10}^{-9}}m\] If the energy of each photon is more than or equal to the work function, then only the photoelectric emission takes place. Energy of each photon, \[E=\frac{hc}{\lambda }=\frac{6.63\times {{10}^{-34}}\times 3\times {{10}^{8}}}{300\times {{10}^{-9}}}=6.63\times {{10}^{-19}}J\] Since \[E>{{\phi }_{0}},\] hence photoelectric emission takes place.
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