Question 77 of 165

The electric field in a plane electromagnetic wave is given by
$\vec{E}=200\cos \left[\left(0.5\times {10}^{3}{m}^{-1}\right)x-\left(1.5\times {10}^{11}rad{s}^{-1}\right)t\right]V{m}^{-1}\hat{j}$.
If this wave falls normally on a perfectly reflecting surface having an area of $100{cm}^{2}$. If the radiation pressure exerted by the E.M. wave on the surface during a $10\min$ exposure is $\dfrac{k}{{10}^{9}}N{m}^{-2}$. Find the value of $k$