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Hint: Isomers are the molecules which have the same molecular formula but they have different arrangements of atoms. Due to this different arrangement of atoms they show different properties.
Complete step by step solution:
As we know isomers are molecules with the same molecular formula but different arrangement of atoms, this means in this question we need to find options with the same molecular formula. In structure of bromopentane as word bromo is used this means there will be a bromine atom in the compound, prefix pent is used so number of carbon atoms will be $5$ and suffix an is used this means there will be a single bond between carbons. Therefore formula of this compound will contain $5$ carbon atoms, $11$ hydrogen atoms $\left( {2n + 1} \right)$ and $1$ bromine (Number of hydrogen atoms in unsaturated compound i.e. compound which contain single bond between carbon atoms is $2n + 2$ since one hydrogen is replaced by bromine so, number of hydrogen atoms will be $2n + 1$ ). Molecular formula of this compound is ${C_5}{H_{11}}Br$ . In option A and C formula of compound is ${C_5}{H_{11}}Br$, but in option B the formula of compound is ${C_6}{H_{13}}Br$. So answer to this question is option A and option C i.e. bromopentane $C{H_3} - C{H_2} - C{H_2} - C{H_2} - C{H_2}Br$ and $2 - $ bromopentane $C{H_3} - C{H_2} - C{H_2} - \mathop {CHBr}\limits_{} - C{H_3}$.
Additional information: Types of isomers are structural and stereoisomers. Structural isomers are divided into chain, positional, functional, metamerism, tautomerism and ring chain isomers. Stereoisomers are divided into geometrical and optical isomers. Structural isomerism is commonly called constitutional isomerism. In these isomers functional groups and atoms in the molecules are connected in different ways. Chain isomerism is also called skeletal isomerism. Components of these isomers are attached in the form of branches. In positional isomers the position of a functional group or atoms is different. Functional isomerism is also called functional group isomerism. In this isomerism compounds have the same molecular formula but different functional groups attached. In metamerism different alkyl chains are present. Tautomerism refers to the isomer of the compound which only differs in position of protons and electrons. In ring-chain isomerism one structure has on open chain structure whereas the other has a ring structure. In stereoisomerism compounds have the same molecular formula but different orientation of atoms in three dimensional space. Geometric isomerism is known as cis-trans isomerism.
Note: To solve such type of questions firstly check for which compound we have to find isomers then count the number of atoms of each type (that given atom possess). Compounds having the same number of atoms of particular type will be the answer.
Complete step by step solution:
As we know isomers are molecules with the same molecular formula but different arrangement of atoms, this means in this question we need to find options with the same molecular formula. In structure of bromopentane as word bromo is used this means there will be a bromine atom in the compound, prefix pent is used so number of carbon atoms will be $5$ and suffix an is used this means there will be a single bond between carbons. Therefore formula of this compound will contain $5$ carbon atoms, $11$ hydrogen atoms $\left( {2n + 1} \right)$ and $1$ bromine (Number of hydrogen atoms in unsaturated compound i.e. compound which contain single bond between carbon atoms is $2n + 2$ since one hydrogen is replaced by bromine so, number of hydrogen atoms will be $2n + 1$ ). Molecular formula of this compound is ${C_5}{H_{11}}Br$ . In option A and C formula of compound is ${C_5}{H_{11}}Br$, but in option B the formula of compound is ${C_6}{H_{13}}Br$. So answer to this question is option A and option C i.e. bromopentane $C{H_3} - C{H_2} - C{H_2} - C{H_2} - C{H_2}Br$ and $2 - $ bromopentane $C{H_3} - C{H_2} - C{H_2} - \mathop {CHBr}\limits_{} - C{H_3}$.
Additional information: Types of isomers are structural and stereoisomers. Structural isomers are divided into chain, positional, functional, metamerism, tautomerism and ring chain isomers. Stereoisomers are divided into geometrical and optical isomers. Structural isomerism is commonly called constitutional isomerism. In these isomers functional groups and atoms in the molecules are connected in different ways. Chain isomerism is also called skeletal isomerism. Components of these isomers are attached in the form of branches. In positional isomers the position of a functional group or atoms is different. Functional isomerism is also called functional group isomerism. In this isomerism compounds have the same molecular formula but different functional groups attached. In metamerism different alkyl chains are present. Tautomerism refers to the isomer of the compound which only differs in position of protons and electrons. In ring-chain isomerism one structure has on open chain structure whereas the other has a ring structure. In stereoisomerism compounds have the same molecular formula but different orientation of atoms in three dimensional space. Geometric isomerism is known as cis-trans isomerism.
Note: To solve such type of questions firstly check for which compound we have to find isomers then count the number of atoms of each type (that given atom possess). Compounds having the same number of atoms of particular type will be the answer.
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