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If a free $OH$ group has a vibrational frequency of $3600{\text{ cm}}^{-1}$, approximately what will be the vibrational frequency of a free $OD$ group, where $D$ is deuterium?

Note: Assume the force constants are the same for both pairs of atoms.

A

$1500{\text{ cm}}^{-1}$

B

$2500{\text{ cm}}^{-1}$

C

$3500{\text{ cm}}^{-1}$

D

$4500{\text{ cm}}^{-1}$

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