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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 value of \( d \) for which the standing wave of the type described above can form.
(A) \( 0.4 \mathrm{~A}^{0} \)
(B) \( 0.5 \mathrm{~A}^{\circ} \)
(C) \( 2 \mathrm{~A}^{\circ} \)
(D) \( 1 A^{\circ} \)
\( \mathrm{P} \)
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