Assume that the de-Broglie wave associated with an electron can for...

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Assume that the de-Broglie wave associated with an electron can form a standing wave between the atoms arranged in a one-dimensional array with nodes at each of the atomic sites. It is found that one such standing wave is formed, if the distance \( d \) between the atoms of the array is \( 2 \AA \). A similar standing wave is again formed, if \( d \) is increased to \( 2.5 \AA \) but not for any intermediate value of \( d \).
The least of \( d \) for which the standing wave of the type described can form
(a) \( 0.8 \AA \)
(b) \( 0.5 \AA \)
(c) \( 1 \AA \)
(d) \( 2.5 \AA \)
\( \mathrm{P} \)
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