KVPY Sample Paper KVPY Stream-SX Model Paper-20

  • question_answer
    The bond angle between two hybrid orbitals is \[105{}^\circ \]. The percentage of 5-character of hybrid orbital is between

    A) \[50-55%\]

    B) \[9-12%\]

    C) \[21-23%\]

    D) \[11-12%\]

    Correct Answer: C

    Solution :

    \[s-\]character cc bond angle
    For \[25%\]s character (as in \[s{{p}^{3}}\]hybrid orbital), bond angle is \[109.5{}^\circ \], for 33.3%s character (as in \[s{{p}^{2}}\]hybrid orbital), bond angle is \[120{}^\circ \]and for 50% s character (as in sp hybrid orbital), bond angle is \[180{}^\circ .\]
    Similarly, when the bond angle decreases below \[109.5{}^\circ \], the A'-character will decrease accordingly.
    Decreasing in angle \[=120{}^\circ -109.5{}^\circ =10.5{}^\circ \]
    Decrease in .y-character \[=33.3\text{ }%\text{ }-25\text{ }%\]
    \[=\text{ }8.3\text{ }%\]Actual decrease in bond angle\[=109.5{}^\circ -105{}^\circ =4.5{}^\circ \]
    Expected decrease in,\[s-\]character\[=\frac{8.3}{10.5}\times 4.5=3.56%\]
    Thus, the \[s-\]character should decrease by about \[3.56%\]i.e.,
    \[s-character=25-3.56-21.44%\]


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