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 full wave rectifier circuit with diodes (\(D_1\)) and (\(D_2\)) is shown in the figure. If input supply voltage \(V_{in} = 220 \sin(100 \pi t)\) volt, then at \(t = 15\) msec:
Consider a water tank shown in the figure. It has one wall at \(x = L\) and can be taken to be very wide in the z direction. When filled with a liquid of surface tension \(S\) and density \( \rho \), the liquid surface makes angle \( \theta_0 \) (\( \theta_0 < < 1 \)) with the x-axis at \(x = L\). If \(y(x)\) is the height of the surface then the equation for \(y(x)\) is: (take \(g\) as the acceleration due to gravity)