Q103 · CSIR-NET Chemistry, December 2015

Paper: CSIR-NET December 2015 · Subject: Physical Chemistry · Chapter: Group Theory · Topic: Group Theory – General · Marks: 2 · Difficulty: Medium

The product $\mathrm{C}_{2}^{\mathrm{x}} \cdot \sigma_{\mathrm{xy}}$ ( $\mathrm{C}_{2}^{\mathrm{x}}$ is the two-fold rotation axis around the $x$-axis and $\sigma_{\mathrm{xy}}$ is the xy mirror plane) is
(a)$\sigma_{\mathrm{xz}}$
(b)$\sigma y z$
(c)$\mathrm{C}_{2}^{\mathrm{y}}$
(d)$\mathrm{C}_{2}^{\mathrm{z}}$
Answer
Answer: A ✓ checked by 4AB · confidence high
Explanation
C₂(x)·σ(xy): (x, y, z) → (x, −y, z) = σ(xz) (a).

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