Answer :
Answer:
The maximum kinetic energy of electron is = 2.93 × [tex]10^{-19}[/tex] Joule
Explanation:
We know that total energy
[tex]E = \frac{hc}{\lambda}[/tex] ------------ (1)
Here h = plank's constant = 6.62 × [tex]10^{-34}[/tex] J s
c = speed of light = 3 × [tex]10^{8}[/tex] [tex]\frac{m}{s}[/tex]
[tex]\lambda[/tex] = 261 nm = 261 × [tex]10^{-9}[/tex] m
Put all these values in equation (1) we get
E = 7.6 × [tex]10^{-19}[/tex] J
We know that
Total energy = Energy to remove an electron + K.E of electron
Energy to remove an electron = [tex]\frac{281.7 (1000)}{(6.023)10^{23} }[/tex]
Energy to remove an electron = 4.67 × [tex]10^{-19}[/tex] J
K.E of electron = Total energy - Energy to remove an electron
K.E of electron = 7.6 × [tex]10^{-19}[/tex] - 4.67 × [tex]10^{-19}[/tex]
K.E of electron = 2.93 × [tex]10^{-19}[/tex] Joule
Therefore the maximum kinetic energy of electron is = 2.93 × [tex]10^{-19}[/tex] Joule