Step 1: Identify the given hydrocarbon.
The given structure represents isopentane (2-methylbutane). It contains different types of hydrogen atoms due to its branched structure.
Step 2: Identify distinct hydrogen positions.
In isopentane, there are four nonequivalent types of hydrogen atoms:
Primary hydrogens at two different positions, secondary hydrogen, and tertiary hydrogen.
Step 3: Effect of bromination.
During monobromination, bromine can substitute hydrogen atoms at each nonequivalent position, leading to different structural isomers.
Step 4: Count of monobrominated products.
Since there are four different types of hydrogen atoms, four different monobromoderivatives are formed.
Step 5: Conclusion.
Therefore, the number of isomers of monobromoderivatives obtained is $4$.