If p is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelengthlamda,thenfor1.5pmomentumofthe photoelectron, the wavelength of the light should be( 4 ) /(a) lamda. What is numerical value of a ? (Assume kinetic energy of ejected photoelectron to be very high in comparison to work function):

If p is the momentum of the fastest electron ejected from a metal surf

1.	If p is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelengthlamda,thenfor1.5pmomentumofthe photoelectron, the wavelength of the light should be( 4 ) /(a) lamda. What is numerical value of a ? (Assume kinetic energy of ejected photoelectron to be very high in comparison to work function):
Answer» <P> SOLUTION : ` E= W +KE _(max ) ` `( hc ) /(lamda )= W +(P ^ 2 ) /( 2m ) ` `( W TO0 ) ` `(lamda_ 2 ) /( lamda _ 1 )=( P_ 1^ 2 ) /(P _2 ^ 2 ) ` `(lamda_2 ) / (lamda _ 1 )=( P ^ 2 ) /( (1.5 P ) ^ 2) ` ` (lamda_ 2) /(lamda_ 1 )=( 4 ) /(9) `