Threshold wavelength for a metal is $$ 5675 \mathring A $$. Find out the work function of the metal. $$ (h = 6.63 \times 10^{-34} \,J-s)$$
Work function of metal $$ \phi_0 = hv_0 $$
$$ = \dfrac{hc}{\lambda_0} $$ Joule $$ = \dfrac{hc}{e \lambda_0} \,eV $$
$$ = \dfrac{6.63 \times 10^{-34} \times 3 \times 10^8}{5675 \times 10^{-10} \times 1.6 \times 10^{-19}} $$
$$ = 2.19 \,eV = 2.2 \,eV $$