A wave of amplitude 0.37 m interferes with a second wave of amplitude 0.18 m is traveling in the same direction. What is the largest resultant amplitude that can occur?
To find the largest resultant amplitude that can occur, we need to consider the principle of superposition in wave interference.
When two waves interfere, the resultant amplitude can be calculated by adding the individual amplitudes of the waves. Since the two waves are traveling in the same direction, their amplitudes will add up.
The largest resultant amplitude occurs when the two waves are in phase, meaning that their crests and troughs align perfectly. In this case, both waves will reinforce each other, resulting in a maximum amplitude.
So, to find the largest resultant amplitude, we simply add the individual amplitudes of the waves:
Resultant Amplitude = Amplitude of the First Wave + Amplitude of the Second Wave
Resultant Amplitude = 0.37 m + 0.18 m
Resultant Amplitude = 0.55 m
Therefore, the largest resultant amplitude that can occur is 0.55 m.