Step 1: Understanding the reaction.
The reaction shown is a reduction of ethyl bromide (CH\(_3\)CH\(_2\)Br) to ethane (CH\(_3\)CH\(_3\)) in the presence of a reducing agent. The catalyst used here is the Zn-Cu couple, which is commonly used for the reduction of alkyl halides.
Step 2: Analyzing the options.
(A) CaO, \(\Delta\): This catalyst is used for dehydration reactions, not for reduction.
(B) Zn-Cu couple in alcohol: This is the correct catalyst, as it is widely used for the reduction of alkyl halides to alkanes.
(C) KMnO\(_4\): Potassium permanganate is an oxidizing agent, not a reducing agent.
(D) K\(_2\)Cr\(_2\)O\(_7\): Potassium dichromate is also an oxidizing agent and not suitable for the reduction of alkyl halides.
Step 3: Conclusion.
The correct catalyst is (B) Zn-Cu couple in alcohol.