In: Chemistry
When light of wavelength equal to 364 nm strikes a metal, the kinetic energy of the ejected electron is 4.12 × 10-19 J. What is the work function of the metal?
Hi,
The given values are Wave length = 364nm
KE of ejected electron is = 4.1210-19
J
Now form the Photo electric effect its given that
h =
+
KE (
= work
function,
= frequency, =
c/
, h= plank's
constant =6.626
10-34
Js-1 )
= (3.0
108
cm/s)/ 364
10-9
cm
= 8.2417 1014
s-1
Now, substitute in the above equation,
6.626 10-34
Js-1
8.2417
1014 s-1=
+ 4.12
10-19
J (given)
54.609 10-20
J =
+ 4.12
10-19
J
= 54.609
10-20 J - 41.2
10-20
J
= 13.409 10-20
J
Therefore the workfunction of metal is 13.409
10-20 J.