Answer
4.559 x 10^-19 J
Work Step by Step
Analysis :
The solution involves the following two steps :
Step 1 : Convert the given wavelength into meters.
Step 2 : Use the relation between Energy and Wavelength to get the value of Energy.
The relation is as follows :
E = hc / λ
Where,
E : Energy
c : Speed of Light = 3 x 10^8 m/s
h : Planck's Constant = 6.626 x 10^-34 J.s
λ : Wavelength
2
STEP 1 : Wavelength into meters
Wavelength = 436 nm
1 nm = 10^-9 m
So,
Wavelength in meters = 436 x 10^-9 m = 4.36 x 10^-11 m
3
STEP 2 : Energy Calculation
E = h.c / λ
E = (6.626 x 10^-34) (3 x 10^8) / 4.36 x 10^-7
= 4.559 x 10^-19 J