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${{B}_{2}}{{H}_{6}}+N{{H}_{3}}\to $Addition compound (X)
$(X)\xrightarrow{450k}Y+Z(g)$
In the above sequence Y and Z are respectively:
(A)- borazine, ${{H}_{2}}O$
(B)- boron, ${{H}_{2}}$
(C)- boron nitride, ${{H}_{2}}$
(D)- borazine and hydrogen

Answer
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Hint: The addition product formed by the action of ammonia ($N{{H}_{3}}$) on diborane (${{B}_{2}}{{H}_{6}}$) diammoniate of diborane., i.e. ${{B}_{2}}{{H}_{6}}.2N{{H}_{3}}$. It is ionic in nature. Reaction of ${{B}_{2}}{{H}_{6}}$ with $N{{H}_{3}}$ is one of the methods used for the synthesis of borazine.

Complete step by step answer:
The products of the reaction of diborane (${{B}_{2}}{{H}_{6}}$) with ammonia ($N{{H}_{3}}$) depends on the reaction conditions.
At low temperature, ${{B}_{2}}{{H}_{6}}$ reacts with $N{{H}_{3}}$ to form an addition product. The chemical reaction is given below:
     \[{{B}_{2}}{{H}_{6}}+2N{{H}_{3}}\to {{B}_{2}}{{H}_{6}}.2N{{H}_{3}}\]

 ${{B}_{2}}{{H}_{6}}.2N{{H}_{3}}$ is ionic in nature and exists as \[{{\left[ {{H}_{3}}N\to B{{H}_{2}}\leftarrow N{{H}_{3}} \right]}^{+}}{{\left[ B{{H}_{4}} \right]}^{-}}\] .
When the reaction between ${{B}_{2}}{{H}_{6}}$ and $N{{H}_{3}}$ is carried out around 450 K temperature, the addition product formed gets converted into borazine and hydrogen. The sequence of chemical reactions taking place is given below:
     \[\begin{align}
  & {{B}_{2}}{{H}_{6}}+2N{{H}_{3}}\to {{B}_{2}}{{H}_{6}}.2N{{H}_{3}} \\
 & 3{{B}_{2}}{{H}_{6}}.2N{{H}_{3}}\xrightarrow{450K}2{{B}_{3}}{{N}_{3}}{{H}_{6}}+12{{H}_{2}}(g) \\
\end{align}\]

Since ${{B}_{2}}{{H}_{6}}.2N{{H}_{3}}$ is unstable at 450 K and only appears as an intermediate in the reaction, we can also write the overall reaction as
     \[3{{B}_{2}}{{H}_{6}}+6N{{H}_{3}}\to 2{{B}_{3}}{{N}_{3}}{{H}_{6}}+12{{H}_{2}}\]

We can identify the compound Y and Z from the above sequence of reactions. Compound Y is borazine (${{B}_{3}}{{N}_{3}}{{H}_{6}}$) and compound Z is hydrogen (${{H}_{2}}$) gas.
So, the correct answer is “Option D”.

Additional Information:
Borazine is known as inorganic benzene because its structure is similar to that of benzene.

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Note: We might get confused between the options. So remember that diborane only forms boron nitride if it is treated with excess of ammonia at high temperature. Thus, here option C cannot be correct. And since there is no oxygen involved in the reaction, option A is also not correct.