A plane electromagnetic wave varies sinusoidally at $88\mathrm{.}4$ MHz as it travels through vacuum along the positive $\backslash ($ x $\backslash )$ direction. The peak value of the electric field is $\backslash (1\mathrm{.}84\backslash$mathrm$\{$mV$\}/\backslash$mathrm$\{$m$\}\backslash ),$ and it is directed along the positive $\backslash ($ y $\backslash )$ direction.

$($a$)$ Find the wavelength.

m

$($b$)$ Find the period.

ns

$($c$)$ Find the maximum value of the magnetic field.

pT

$($d$)$ Write expressions in SI units for the space and time variations of the electric field. $(\backslash ($ x $\backslash )$ is in meters, and $\backslash ($ t $\backslash )$ in seconds.$)$

magnitude $\backslash ($ E$=\backslash ))\backslash (\backslash$cos $2\backslash$pi$(\backslash )$ direction $---$ Select$---\backslash ($ V $\backslash )$

Write expressions in SI units for the space and time variations of the magnetic field. $(\backslash ($ x $\backslash )$ is in meters, and $\backslash ($ t $\backslash )$ in seconds.$)$ magnitude $\backslash ($ B$=\backslash ))\backslash (\backslash$cos $2\backslash$pi$(\backslash )\backslash ($ x $\backslash )-\backslash ($ t$)\backslash )$ direction $---$Select$---\backslash (\backslash$vee $\backslash )$

$($e$)$ Find the average power per unit area this wave carries through space.

$\backslash [$

$\backslash$mathrm$\{$W$\}/\backslash$mathrm$\{$m$\}^\{2\}$

$\backslash ]$

$($f$)$ Find the average energy density in the radiation.

$\backslash [$

$\backslash$mathrm$\{$J$\}/\backslash$mathrm$\{$m$\}^\{3\}$

$\backslash ]$

$($a$)$ What radiation pressure would this wave exert upon a perfectly reflecting surface at normal incidence?