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(D) $1$. In a stationary wave, the distance between two consecutive nodes or two consecutive antinodes is $\lambda/2$. Thus, option $A$ is incorrect.$

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In the case of a stretched string, when vibrated, the frequency of the first overtone is the same as the second harmonic.

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(D) $1$. In a stationary wave, the distance between two consecutive nodes or two consecutive antinodes is $\lambda/2$. Thus, option $A$ is incorrect.$2$. In a pipe open at both ends, all harmonics (odd and even) are present. Thus, option $B$ is incorrect.$3$. In a pipe closed at one end, only odd harmonics are present. Thus, option $C$ is incorrect.$4$. For a stretched string, the fundamental frequency is $f_1 = v/2L$. The first overtone is the next higher frequency, which is $f_2 = 2v/2L = 2f_1$. This is also called the second harmonic. Thus, option $D$ is correct.

In the case of a stationary wave pattern, which of the following statements is $CORRECT$?

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