Monochlorination involves replacing one hydrogen atom with a chlorine atom. We need to consider all possible positions where chlorine can substitute a hydrogen and whether any of these substitutions create a stereocenter.
1. Chlorination at C1: CH2Cl-CH2-CH2-CH3. This is 1-chlorobutane.
2. Chlorination at C2: CH3-CHCl-CH2-CH3. This is 2-chlorobutane. Since C2 becomes a chiral center, there are two stereoisomers (enantiomers): (R)-2-chlorobutane and (S)-2-chlorobutane.
3. Chlorination at C3: CH3-CH2-CHCl-CH3. This is also 2-chlorobutane (same as chlorination at C2 when considering connectivity). The molecule now has a chiral center, again producing two stereoisomers: (R)-2-chlorobutane and (S)-2-chlorobutane.
4. Chlorination at C4: CH3-CH2-CH2-CH2Cl. This is 1-chlorobutane, identical to the product from C1 chlorination.
Therefore, there are three distinct monochlorinated products: 1-chlorobutane, (R)-2-chlorobutane, and (S)-2-chlorobutane. The number of products including stereoisomers is 3.
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 :