In a photoelectriceffect setup, a point source light of power ((p)/(4piR^(2))) =3.2xx10^(-3)W emitsmonoenergetic photons of enegry5.0 EV.Then photons falling on a metallic sphere of radius r=6 mm and of work function 3.0 eV at distance of 0.6 mm. The efficiency of photo- electron emissionis on for every 10^(5)incident photons.Assume that the sphere is located and initially neuttral and that photoelectron are instantly swept away after emission. [Given hc=1240 eV-nm] Find the ratio of the wavelenght of incident light to the De-Brogli wavelenght of the fastest photoelectron emitted

In a photoelectriceffect setup, a point source light of power ((p)/(4p

1.	In a photoelectriceffect setup, a point source light of power ((p)/(4piR^(2))) =3.2xx10^(-3)W emitsmonoenergetic photons of enegry5.0 EV.Then photons falling on a metallic sphere of radius r=6 mm and of work function 3.0 eV at distance of 0.6 mm. The efficiency of photo- electron emissionis on for every 10^(5)incident photons.Assume that the sphere is located and initially neuttral and that photoelectron are instantly swept away after emission. [Given hc=1240 eV-nm] Find the ratio of the wavelenght of incident light to the De-Brogli wavelenght of the fastest photoelectron emitted
Answer» `23.6` `33.1` `186.4` `286.4` Solution :WAVELENGHT of incident light `=lambda=(1240)/(5)nm`=`248nm` WAVELENGHTOF fastest photonsphotonelectrons`=lambda_(1)` `lambda_(1)=(h)/sqrt(2m_(e) KE)=sqrt((150)/(2))` `lambda_(1)=8.66=0.866 nm` `lambda_(1)/lambda_(1)=(248)/(0.866)=286.374`