Bond dissociation energy is the energy required to break a bond, and it depends on the stability of the bond. In the case of C-H bonds, the following factors affect their bond dissociation energy:
Aromatic C-H bond (I): The C-H bond in an aromatic compound is stabilized by resonance and the delocalization of electrons in the aromatic ring. This results in a relatively high bond dissociation energy.
Aliphatic C-H bond (II): The C-H bond in a typical aliphatic compound (like an alkane) is weaker compared to the C-H bond in an aromatic system because there is no such resonance stabilization.
Thus, the bond dissociation energy will be moderate.
C-H bond in a cyclopropane-like structure (III): The C-H bond in a strained structure like cyclopropane is weaker due to the angle strain, making it easier to break. Hence, this bond has the lowest bond dissociation energy.
Thus, the correct order of bond dissociation energy is II>I>III.
A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :