Question

Two progressive waves represented by equations superimposed on each other, find out equation of the resultant wave
y1 = A sin ( wt - kx )
y2 = B cos ( wt - kx )

Answer 1

Answer:

Explanation:

y1 = a sin(wt-kx) and y2 = acos(wt-kx)

y2 = a sin(wt-kx+π/2)

so, according to the superposition principle,

y = y1+y2

y = a sin(wt-kx)+a sin(wt-kx+π/2)

use Trignometric formula sin a + sin b = 1/2sin((a+b)/2)cos((a-b)/2)

y = a*(2sin*1/2(wt-kx+wt-kx+π/2)cos*1/2(wt-kx-wt+kx-π/2))

y = a *2*sin1/2(2*(wt-kx+π/4)cos(-π/4)

y = a*2*sin(wt-kx+π/4)*1/√2

y = √2a sin(wt-kx+π/4)

so amplitude is √2a and phase difference is π/4.

Answer 2

Answer:

who sa

Explanation:

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