.The equation of a wave is: y = 2sin(4x-3t). What will be the equation of the reflected wave from a free surface?*1 pointa) y = 2sin(4x+3t)b) y = 2sin(3t-4x)c) y = 2cos(4x+3t)d) y = 2sin(4x-3t)
Question
.The equation of a wave is: y = 2sin(4x-3t). What will be the equation of the reflected wave from a free surface?*1 pointa) y = 2sin(4x+3t)b) y = 2sin(3t-4x)c) y = 2cos(4x+3t)d) y = 2sin(4x-3t)
Solution
The equation of a reflected wave from a free surface will be the same as the incident wave but with a change in the direction of propagation. This change in direction is represented by a change in the sign of the term involving time in the wave equation.
So, for the given wave equation y = 2sin(4x - 3t), the equation of the reflected wave will be y = 2sin(4x + 3t).
Therefore, the correct answer is a) y = 2sin(4x+3t).
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