$A$ neutral atom has $2, 8,$ and $7$ electrons in $K, L,$ and $M$ shells respectively. What is the total number of electrons in the $p$-orbitals?
- A$5$
- B$6$
- C$13$
- D$11$
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Observe the following lists. Then the correct match for List-$I$ from List-$II$ is:
List-$I$ List-$II$ $(A)$ $[\mathbf{a} \mathbf{b} \mathbf{c}]$ $1. |\mathbf{a}||\mathbf{b}|\cos(\mathbf{a}, \mathbf{b})$ $(B)$ $(\mathbf{c} \times \mathbf{a}) \times \mathbf{b}$ $2. (\mathbf{a} \cdot \mathbf{c})\mathbf{b} - (\mathbf{a} \cdot \mathbf{b})\mathbf{c}$ $(C)$ $\mathbf{a} \times (\mathbf{b} \times \mathbf{c})$ $3. \mathbf{a} \cdot \mathbf{b} \times \mathbf{c}$ $(D)$ $\mathbf{a} \cdot \mathbf{b}$ $4. |\mathbf{a}||\mathbf{b}|$ $5. (\mathbf{b} \cdot \mathbf{c})\mathbf{a} - (\mathbf{a} \cdot \mathbf{b})\mathbf{c}$
| List-$I$ | List-$II$ |
| $(A)$ $[\mathbf{a} \mathbf{b} \mathbf{c}]$ | $1. |\mathbf{a}||\mathbf{b}|\cos(\mathbf{a}, \mathbf{b})$ |
| $(B)$ $(\mathbf{c} \times \mathbf{a}) \times \mathbf{b}$ | $2. (\mathbf{a} \cdot \mathbf{c})\mathbf{b} - (\mathbf{a} \cdot \mathbf{b})\mathbf{c}$ |
| $(C)$ $\mathbf{a} \times (\mathbf{b} \times \mathbf{c})$ | $3. \mathbf{a} \cdot \mathbf{b} \times \mathbf{c}$ |
| $(D)$ $\mathbf{a} \cdot \mathbf{b}$ | $4. |\mathbf{a}||\mathbf{b}|$ |
| $5. (\mathbf{b} \cdot \mathbf{c})\mathbf{a} - (\mathbf{a} \cdot \mathbf{b})\mathbf{c}$ |
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In the following structure,the double bonds are marked as $I, II, III$ and $IV$. Geometrical isomerism is not possible at site$(s)$:
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