A plane electromagnetic wave varies sinusoidally at $87\mathrm{.}0$ MHz as it travels through vacuum along the positive x direction. The peak value of the electric field is $1\mathrm{.}98$ mV$/$m$,$ and it is directed along the positive y 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. $($x is in meters, and t in seconds.$)$

magnitude$$E $=()$ cos $2($ x $$ t$)$direction $---$Select$---+$x $$x $+$y $$y $+$z $$z

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

magnitude$$B $=()$ cos $2($ x $$ t$)$direction $---$Select$---+$x $$x $+$y $$y $+$z $$z

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

W$/$m$2$

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

J$/$m$3$

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

Pa