The pair of compounds that belongs to the same homologous series is

A.

\(C_2H_6\) and \(C_4H_{10}\)

B.

\(C_3H_8\) and \(C_3H_6\)

C.

\(C_2H_4\) and \(C_4H_{10}\)

D.

\(C_4H_{10}\) and \(C_5H_{10}\)

Correct answer is A

In the given options, \(C_2H_6\) (ethane) and \(C_4H_{10}\) (butane) both belong to the same homologous series, as they have the same alkane functional group \(C_nH_{2n}+2\) and differ by a \(CH_2\) group:
\(C_2H_6\): Ethane
\(C_4H_{10}\): Butane
Both of these compounds are members of the alkane homologous series.