In the given curve, half the wavelength is:

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Question

(A) The wavelength $(\lambda)$ is defined as the distance between two consecutive crests (peaks) or two consecutive troughs. In the given wave diagram

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$AB$

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(A) The wavelength $(\lambda)$ is defined as the distance between two consecutive crests (peaks) or two consecutive troughs. In the given wave diagram, the distance $AE$ represents one complete wavelength, as it covers one full crest and one full trough. A half wavelength $(\lambda/2)$ corresponds to the distance of either one crest or one trough. Looking at the diagram, the distance $AB$ represents one crest, and the distance $DE$ represents one trough. However, the question asks for half the wavelength. Since $AB$ is the length of one crest, it represents $\lambda/2$. Similarly, $DE$ also represents $\lambda/2$. Given the options, $AB$ is a correct representation of half the wavelength.

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