please just show steps i wanna answer my self In a traveling electromagnetic wav

Question

please just show steps i wanna answer my self In a traveling electromagnetic wave, the electric field isrepresented mathematically as E = E0sin[(1.9 x 1010 s-1)t - (7.2 x101 m-1)x] whereE0 is the maximum field strength.
(a) What is the frequency of thewave? *found a to be 2.985E9 hz but need help with b
(b) This wave and the wave that results from itsreflection can form a standing wave, in a way similar to that inwhich standing waves can arise on a string (see Section 17.5). Whatis the separation between adjacent nodes in the standingwave? please just show steps i wanna answer my self In a traveling electromagnetic wave, the electric field isrepresented mathematically as E = E0sin[(1.9 x 1010 s-1)t - (7.2 x101 m-1)x] whereE0 is the maximum field strength.
(a) What is the frequency of thewave? *found a to be 2.985E9 hz but need help with b
(b) This wave and the wave that results from itsreflection can form a standing wave, in a way similar to that inwhich standing waves can arise on a string (see Section 17.5). Whatis the separation between adjacent nodes in the standingwave?

Explanation / Answer

The (angular) frequency is the coefficient of t with x heldconstant. The frequency in Hz is the angular frequency divided by2. So the frequency of the wave is 1.9/2 * 10^10 Hz EDITED: The standing wave node separation is half the spatial wavelength ofthe wave. The spatial wavelength is 2 times the reciprocal ofthe coefficient of the spatial variable x, in this case 7.2x10^1m^-1. Half the spatial wavelength is then /7.2x10^1 m

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