In the given reactions, the formation of a racemic mixture (equimolar mixture of d and l forms) occurs in reactions where the product is formed by a mechanism that leads to the creation of a chiral center with both possible configurations being equally likely.
1. Reaction [B] - But-1-ene + HBr
The addition of HBr to but-1-ene occurs via a free-radical mechanism (due to the absence of peroxides). This mechanism will produce a mixture of two enantiomers, forming a racemic mixture of the product.
2. Reaction [C] - 3-Methylbut-1-ene + HI
The addition of HI to 3-methylbut-1-ene will form a product where a chiral center is generated, leading to a racemic mixture of the d and l forms.
Thus, reactions B and C lead to the formation of racemic mixtures.