A methyl group attached to a carbocation stabilizes it through hyperconjugation. Hyper-conjugation involves the interaction of the electrons in the C-H sigma bonds of the methyl group with the empty p-orbital of the positively charged carbon. This delocalization of electron density stabilizes the carbocation.
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 :