The wavelength of the light is 523 nm
Explanation:
Given:
i) First let us determine the frequency:
The energy required to remove an electron = 3.8 x [tex]10^{-19}[/tex]J
Using Planck's constant the formula for energy, E = hv
3.8 x [tex]10^{-19}[/tex] = (6.626 x [tex]10^{-34}[/tex] Js) (x)
Here Planck's constant h = 6.626 x [tex]10^{-34}[/tex]
x = 0.5734 x [tex]10^{15}[/tex]
x = 5.734 x [tex]10^{14}[/tex] [tex]s^{-1}[/tex]
ii) Secondly, let us determine the wavelength:
[tex]\bold{\lambda v = c}[/tex]
(x) (5.734 x [tex]10^{14}[/tex] [tex]s^{-1}[/tex]) = 3 x [tex]10^8[/tex] m/s
Here speed of light c = 3 x [tex]10^8[/tex] m/s
x = 0.5231 x [tex]10^{-6}[/tex]
x = 5.231 x [tex]10^{-7}[/tex] m
x = 523 nm
