$2.$ A light$-$emitting diode $($LED$)$ converts electricity to approximately sinusoidal electromagnetic waves with a definite frequency $\backslash ($ f $\backslash ).$ Imagine that light from the LED creates an oscillating electric field with amplitude $\backslash ($ E$\_\{0\}\backslash )$ at a certain location. If we increase the electrical power to the LED so that the oscillation amplitude is now $\backslash (2$ E$\_\{0\}\backslash ),$ by what factor have we increased the power?

a$)4$ times

b$)2$ times

c$)\backslash (\backslash$sqrt$\{2\}]\backslash )$

d$)$ D$.$ One cannot answer without more information.