Which of the following sets are correctly matched?
(i) \(\mathrm{B}_2 \mathrm{H}_6\) - electron deficient hydride
(ii) \(\mathrm{NH}_3\) - electron precise hydride
(iii) \(\mathrm{H}_2 \mathrm{O}\) - election rich hydride

For which reaction \(\Delta \mathrm{H} \neq \Delta \mathrm{U}\) ?

If the RMS velocity of an ideal gas is \(\mathrm{ms}^{-1}\) at \(127^{\circ} \mathrm{C}\), at what temperature its RMS velocity is doubled?

Identify \(A, B\), and \(C\) in the following reactions.
Isopropyl chloride \(\stackrel{\mathrm{NaOH}}{\longrightarrow} A \stackrel{\mathrm{Cu} / 573 \mathrm{~K}}{\longrightarrow}\)
\[
B \stackrel{\mathrm{NaOl}}{\longrightarrow} C+\text { Iodoform }
\]

A cylinder contains a mixture of \(5 \mathrm{~g}\) of \(\mathrm{N}_2\) and \(6 \mathrm{~g}\) of Ar gases. If the total pressure of the mixture of the gases in the cylinder is 30 bar, then the partial pressure of \(\mathrm{N}_2\) gas is

The largest element among \(\mathrm{O}, \mathrm{Se}, \mathrm{S}, \mathrm{Te}\) is

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

Names of units of some physical quantities are given in List-I and their dimensions formulae are given in List-Il. Match the correct pairs in the lists
\(\begin{array}{ll|ll}
\hline & \text{ List-I } & \text{ List-II } \\
\hline A. & \mathrm{Pa}-\mathrm{s} & (i) & {\left[\mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]} \\
\hline B. & \mathrm{NmK}^{-1} & (ii) & {\left[\mathrm{MLT}^{-3} \mathrm{~K}^{-1}\right]} \\
\hline C. & \mathrm{J} \mathrm{kg}^{-1} \mathrm{~K}^{-1} & (iii) & {\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]} \\
\hline D. & \mathrm{Wm}^{-1} \mathrm{~K}^{-1} & (iv) & {\left[\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]} \\
\hline
\end{array}\)
\(\begin{array}{llll}A & B & C & D\end{array}\)

The centripetal acceleration of a particle in uniform circular motion is \(18 \mathrm{~ms}^{-2}\). If the radius of the circular path is 50 cm , the change in velocity of the particle in a time of \(\frac{\pi}{18} \mathrm{~s}\) is

In a binomial distribution, if \(\mathrm{n}=4\) and \(\mathrm{P}(\mathrm{X}=0)=\frac{16}{81}\), then \(\mathrm{P}(\mathrm{X}=4)=\)

A projectile is given an initial velocity of \((\hat{\mathbf{i}}+2 \hat{\mathbf{j}}) \mathrm{ms}^{-1}\). The equation of its path is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

\(\int \frac{e^{\tan ^{-1} x}}{1+x^2}\left[\left(\sec ^{-1} \sqrt{1+x^2}\right)^2+\cos ^{-1}\left(\frac{1-x^2}{1+x^2}\right)\right] d x=\)

Identify the essential amino acids from the following
A) Leucine
B) Tyrosine
C) Cysteine
D) Histidine