The work function of a certain metal is 3.31 10⁻¹⁹ ~J . Then, the maximum kinetic energy of photoelectrons emitted by incident radiation of wavelength 5000 Ã… is aligned & (Given, h=6.62 10⁻³⁴ ~J - s , c=3 10^8 ~ms ⁻¹ , & e=1.6 10⁻¹⁹ C ) aligned

Step-by-step solution

Work function W₀=3.31 10⁻¹⁹ ~J Wavelength of incident radiation aligned & =5000 10⁻¹⁰ ~m & E=W₀+ KE aligned (According to Einstein equation) aligned h c & =3.31 10⁻¹⁹+ KE KE & =-3.31 10⁻¹⁹+ 6.62 10⁻³⁴ 3 10^8 5000 10⁻¹⁰ & =-3.31 10⁻¹⁹+ 6.62 3 5 10⁻¹⁹ & =(-3.31 1.324 3) 10⁻¹⁹ & =(3.972-3.31) 10⁻¹⁹ & =0.662 10⁻¹⁹ ~J aligned aligned E & = 0.662 10⁻¹⁹ 1.6 10⁻¹⁹ & =0.41 eV aligned