Which of the following exhibits optical isomerism?

Which of the following compounds is achiral?

The stereoisomers that are formed by electrophilic addition of bromine to $trans-but-2-ene$ is/are:

Ignoring specific markings,which of the following objects are chiral?
$(I)$ $A$ shoe
$(II)$ $A$ book
$(III)$ $A$ pencil
$(IV)$ $A$ pair of shoes (consider the pair as one object)
$(V)$ $A$ pair of scissors

Which of the following is optically active?

Given the structures $A$ and $B$,determine the relationship between them.