Nitrous acid was disproportionated to form water, \(\mathrm{HNO}_3\) and \(X\). In another reaction, sodium nitrite was reacted with \(\mathrm{H}_2 \mathrm{SO}_4\) to form \(\mathrm{NaHSO}_4, \mathrm{HNO}_3\), water and \(Y\). What are \(X\) and \(Y\) respectively?

15 moles of \(\mathrm{H}_2\) and 5.2 moles of \(\mathrm{I}_2\) are mixed and allowed to attain equilibrium at 773 K . At equilibrium, the number of moles of HI is found to be 10 . The equilibrium constant for the dissociation of HI is

Which of the following electronic transitions in hydrogen atom will require the highest energy?

The alloy, which contains \(95 \%\) aluminium and small amounts of copper, magnesium and manganese is ____

\(A\) and \(B\) are ideal gases. At \(T(K), 2 L\) of ' \(A\) ' with a pressure of 1 bar is mixed with 4 L of ' B ' with a pressure \(\mathrm{p}_{\mathrm{B}}\) bar in a 100 L flask. The pressure exerted by gaseous mixture is 0.1 bar. What is the value of \(p_B\) in bar ?

Which of the following is the major product, when \(\mathrm{p}-\) cresol is treated with zinc dust?

Match the following

List-I (Process)	\(\text{List-II (Metal)}\)
A) Hall-Heroult process	I) Ti
B) Mond process	II) In
C) van-Arkel process	III) \(\mathrm{Al}\)
D) Zone refining process	IV) Ni

The correct answer is

Match the following List I with List II.
\(\begin{array}{|c|c|c|}
\hline & \text { List I } & \text { List II } \\
\hline \text { (A) } & \text { Transverse wave (i) } & \begin{array}{l}
\text {Vibrations parallel to the } \\
\text {direction of propagation }
\end{array} \\
\hline \text { (B) } & \begin{array}{l}
\text {Longitudinal wave }
\end{array} & \begin{array}{l}
\text {Vibrations perpendicular to } \\
\text {the direction of propagation }
\end{array} \\
\hline \text { (C) } & \text { Beats } & \begin{array}{l}
\text {Superposition of waves } \\
\text {travelling in the opposite directions }
\end{array} \\
\hline \text { (D) } & \text { Stationary waves (iv) } & \begin{array}{l}
\text {Superposition of waves } \\
\text {travelling in same direction }
\end{array} \\
\hline
\end{array}\)
The correct answer is

The pole of the line $\frac{x}{a}+\frac{y}{b}=1$ with respect of the circle $x^2+y^2=c^2$ is

Define \(f: C \rightarrow \mathrm{R}\) by \(f(z)=|z|, \forall z \in C\). Then, which of the following is false ?

In triangle \(A B C, \frac{\tan A}{2}=\frac{\tan B}{3}=\frac{\tan C}{4}\), then the value of \(\sec ^2 A+\sec ^2 B+\sec ^2 C=\)

The distance of the point \((6,4 \sqrt{3})\) from the focus of \(y^2=8 x\) is

If \(f(x)=\frac{e^{1 / x}-1}{e^{1 / x}+1}\), then