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