A compound can exhibit optical activity even if (a) a rotation axis is present (b) a mirror plane is present (c) a centre of symmetry is present (d) an alternating axis of symmetry is present

Short Answer

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Answer: A compound can exhibit optical activity when a rotation axis is present.

Step by step solution

01

Option A: Rotation Axis

A molecule can have a rotation axis while still being chiral, which means it can exhibit optical activity. For example, chiral allenes have a C2 rotation axis, but they are still optically active because they lack a mirror plane, center of symmetry, and an alternating axis of symmetry. So, the answer (a) is correct.
02

Option B: Mirror Plane

If a molecule has a mirror plane, it means it has a plane of symmetry. By definition, a molecule with a plane of symmetry cannot exhibit optical activity, as it is achiral. Thus, this option is incorrect.
03

Option C: Centre of Symmetry

If a molecule has a center of symmetry, it is achiral. A center of symmetry is a point in the molecule such that any line that passes through the point and an atom or group of atoms leaves the molecule on a corresponding atom or group equidistant from the center. A molecule with a center of symmetry will not exhibit optical activity, making this option incorrect.
04

Option D: Alternating Axis of Symmetry

An alternating axis of symmetry is a rotation axis followed by a reflection in a plane perpendicular to the axis. When a molecule has an alternating axis of symmetry, it lacks chirality and cannot exhibit optical activity. Therefore, this option is incorrect. In conclusion, the correct answer is (a) a rotation axis is present.

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