Does the function e^-(x - alphat)^2/m^2 satisfy the wave equation? Yes No Consid

Question

Does the function e^-(x - alphat)^2/m^2 satisfy the wave equation? Yes No Consider the transverse displacement wave y(x, t) = ln sin(kx - omegat) and the electromagnetic plane wave rightarrowE(x, t) = 1 N/C sin (k (x - ct)) y, which wave has nonzero energy density at x = 0 when t = 0? Neither, bothe the waves are zero there Bothe Displacement wave, the transverse velocity is nonzero at x = 0 when t = 0 Electromagnetic wave, the electric field is nonzero at x = 0 when t = 0 For the wave y(x, t) = 1m sin(x/2m - t/5s) what is the wavelength? 2m 2pim 4m 4pim Which has a higher frequency? Infrared ultraviolet If the sound intensity is 10^-11 W/m^2 what is the sound level? 0.0 dB -10.0 dB 10.0 dB None of those Yesterday my friend made the wave y(x, t) = 2m sin(2pi x/10m - 2pit/100s) amplitude 2m with energy density 5J/m. Today I make the wave y(x, t) = (2pi x/10m - 2pi t/100s) with amplitude 4m. What is the energy density of my 5J/m 10J/m 15J/m 20J/m When I'm 3m away from a point source, the intensity is 4W/m^2. What is intensity when I'm 6m away? 4W/m^2 3 W/m^2 2 W/m^2 1 W/m^2 The superposition of (x, y, z, t) = 2.0N/C sin(2pi/400nm(z - ct)) and = 2.0N/C sin(2pi/400nm(z - ct) + pi/2) has what amplitude? 4.0N/C 0.0N/C None of those

Explanation / Answer

( 1 ) Yes.

A equation satisfies a wave equate when it is a finite and continous.

Yes, the given function satisfies a wave function, because it is a continous.

( 2 )

Energy density depends on the amplitude of the wave, here amplitudes of given waves are 1 m and 1 N/C respectively. Hence both have non zero energy densities

( 3 )

Compare the given equation with y = A sin ( kx-wt )

Here, wave vector k = 2 /

Thus, the wavelength = 2 / ( 1 /2m ) = 4 m

( 4 )

Frequency of ultraviolet region is greater than Infrared in Electromagnetic spectrum, the order from lease to greatest is

....IR, Visible, UV.....

( 5 )

Sound level B = 10 log ( I / Io ) = 10 log ( 10-11 / 10-12 ) = 10 dB

( Here, threshold intensity Io = 10-12 W/m^2

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