Answer:
6.8 eV
Explanation:
As you know, momentum (P) equals the mass of an object (M) times its velocity (V)
p=mv
Also, the momentum of the particle can be expressed in terms of the radius,
charge and field:
p=mv = qrB
K.Emax = p²/2m= q²r²B²/ 2m
K.Emax= (1.6x[tex]10^{-19}[/tex])² x (0.0104)² x (6.50 x[tex]10^{-4}[/tex])² / (2 x 9.1x[tex]10^{-31}[/tex])
K.E max= 1.16 x [tex]10^{-48}[/tex] / 1.82 x[tex]10^{-30[/tex]
K.Emax= 6.37 [tex]10^{-19}[/tex] J
work function 'Ф' = E- K.E max
since E= hc/ λ
Ф= hc/ λ - K.E max => [tex]\frac{(6.63*10^{-34})(3*10^{8} ) }{115*10^{-9} } - 6.37*10^{-19}[/tex]
Ф = 1.09 x [tex]10^{-18}[/tex] J
Ф = 1.09 x [tex]10^{-18}[/tex] / 1.6x[tex]10^{-19}[/tex]
Ф =6.8 eV
Therefore, the work function of the metal is 6.8 eV
