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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 \( d \).
Find the energy of the electrons in \( \mathrm{eV} \)
(A) \( 302 \mathrm{eV} \)
(B) \( 151 \mathrm{eV} \)
(C) \( 75.5 \mathrm{eV} \)
(D) \( 75.5 \times 10^{6} \mathrm{eV} \)
\( \mathrm{P} \)
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