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A wave of amplitude 0.30 m interfers witha second wave of amplitude 0.20 m. What is the largest resultant displacement that may occur?

add them.

To find the largest resultant displacement that may occur when the two waves interfere, you need to consider the principle of superposition. The principle of superposition states that when two waves overlap, the displacement of the resulting wave at any point is equal to the algebraic sum of the individual displacements of the two waves at that point.

In this case, you have two waves with different amplitudes: Wave 1 with an amplitude of 0.30 m and Wave 2 with an amplitude of 0.20 m. The largest resultant displacement will occur when the waves are perfectly in phase and their amplitudes are aligned.

To calculate the resultant displacement, you simply add the amplitudes of the two waves:

Resultant displacement = Amplitude of Wave 1 + Amplitude of Wave 2

Substituting the given values:

Resultant displacement = 0.30 m + 0.20 m

Resultant displacement = 0.50 m

Therefore, the largest resultant displacement that may occur when the two waves interfere is 0.50 m.