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Question
look at the wave in the picture. if it has a wavelength of 2 cm, how far apart are points a and b? how do you know?
Step1: Understand wavelength definition
Wavelength is the distance between two consecutive identical points (e.g., crest - crest) on a wave.
Step2: Count the number of wavelengths between A and B
From the wave diagram, the distance between A and B is one full wavelength.
Step3: Calculate the distance
Given wavelength $\lambda = 2$ cm. Since the distance between A and B is equal to one wavelength, the distance $d=\lambda$.
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Points A and B are 2 cm apart. Because the distance between two consecutive crests (which is the definition of wavelength here) is given as 2 cm, and A and B are at consecutive crests.