Which of the following compound possesses the " \( \mathrm{C}-\mathrm{H} \) " bond with the lowest bond dissociation
energy?

Bond enthalpies of \(A_{2}, B_{2}\) and \(A B\) are in the ratio \(2: 1: 2\). If bond enthalpy of formation of \(A B\) is \(-100 \mathrm{~kJ} \mathrm{~mol}^{-1}\). The bond enthalpy of \(B_{2}\) is

Match the following pKa values.
\(\begin{array}{|l|l|}
\hline Acid & pKa \\
\hline (a) Phenol & (i) 16 \\
\hline (b) p-Nitrophenol & (ii) 0.78 \\
\hline (c) Ethanol & (iii) 10 \\
\hline (d) Picric acid & (iv) 7.1 \\
\hline
\end{array}\)

Which of the following statements is true?

A Lewis acid ' \(X\) ' reacts with \(\mathrm{LiAlH}_{4}\) in ether medium to give a highly toxic gas. This gas when heated with \(\mathrm{NH}_{3}\) gives a compound commonly known as inorganic benzene. The gas is

lodoform reaction is answered by all, except

\(A\) and \(C\) are

A thin uniform rectangular plate of mass \(2 \mathrm{~kg}\) is placed in \(x y\)-plane as shown in figure. The moment of inertial about \(x\)-axis is \(I_{x}=0.2 \mathrm{kgm}^{2}\) and the moment of inertia about \(Y\)-axis is \(I_{y}=0.3 \mathrm{kgm}^{2}\). The radius of gyration of the plate about the axis passing through \(O\) and perpendicular to the plane of the plate is

\(\int_{0}^{\pi / 4} \frac{\sin x+\cos x}{3+\sin 2 x} d x\) is

Recent studies suggest that \(12\%\) of the world population is left handed. Depending on parents' hand usage, the chances of having left handed children are as follows:
A: Both parents are left handed, chances of having left handed children \(= 24\%\)
B: Both parents are right handed, chances of having left handed children \(= 9\%\)
C: Father left handed and mother right handed, chances of having left handed children \(= 17\%\)
D: Father right handed and mother left handed, chances of having left handed children \(= 22\%\)
Given \(P(A) = P(B) = P(C) = P(D) = 1/4\) and L denotes child is left handed. What is the probability that \(P(A \mid L)\)?

If \(\cos \alpha+2 \cos \beta+3 \cos \gamma=0\),
\(\sin \alpha+2 \sin \beta+3 \sin \gamma=0\) and \(\alpha+\beta+\gamma=\pi\), then \(\sin 3 \alpha+8 \sin 3 \beta+27 \sin 3 \gamma\) is equal to

The ratio of molar specific heats of oxygen is

The range of the function \( f(x)=\sqrt{9-x^{2}} \) is