Flash lamp is used in this case to heat up a rectangular plate to detect defect using active thermography. How to calculate the energy input per unit area, if a flash lamp of Energy density 40 J/cm^2 is flashing for a duration of 2 milliseconds.
Your flash lamp emits 40 Joule of energy per cm^2 for a duration of 2 ms.
So, in order to total energy input you need only to know the overall input area.
This depends on the rectangular plate area. You need only to multiply 40 J by the area A in cm^2. But i feel that in this way the question may be an easy one.
I would like to highlight that the energy density of a flash lamp is the solution of the integral of the spectral specific intensity over the wavelength - so this value depends strongly on the lower and upper bound values used for calculation (typically defined by the measuring range of the spectrometer used).