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A transverse periodic wave is represented by the equation y(x, t) = -1.50 cm sin

ID: 2119694 • Letter: A

Question

A transverse periodic wave is represented by the equation y(x, t) = -1.50 cm sin(1,500 rad/s t - 10.0 m-1 x). Another transverse wave is represented by the equation y(x, t) = +1.50 cm sin(1,500 rad/s t + 10.0 m-1 x). What is the equation that represents the superposition of the two waves?

y(x, t) = +3.0 cm cos(1,500 rad/s t) sin(10.0 m-1 x)

y(x, t) = 3.0 cm sin(1,500 rad/s t - 10.0 m-1 x)

y(x, t) = 3.0 cm sin(1,500 rad/s t - 10.0 m-1 x)

y(x, t) = 6.0 cm sin(1,500 rad/s t - 10.0 m-1 x)

y(x, t) = 3.0 cm sin(1,500 rad/s t) cos(10.0 m-1 x)


A)

y(x, t) = +3.0 cm cos(1,500 rad/s t) sin(10.0 m-1 x)


B)

y(x, t) = 3.0 cm sin(1,500 rad/s t - 10.0 m-1 x)


C)

y(x, t) = 3.0 cm sin(1,500 rad/s t - 10.0 m-1 x)


D)

y(x, t) = 6.0 cm sin(1,500 rad/s t - 10.0 m-1 x)


E)

y(x, t) = 3.0 cm sin(1,500 rad/s t) cos(10.0 m-1 x)

Explanation / Answer

ans E

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