The formation of cyanohydrin from a ketone is an example of

An oxide of the element contains \(20 \% \mathrm{O}_{2}\) by weight. Calculate the equivalent weight of the element.

Which one of the following is the most energetic conformation of cyclohexane?

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

The rms velocity of molecules of a gas of density \(4 \mathrm{~kg} \mathrm{~m}^{-3}\) and pressure \(1.2 \times 10^{5} \mathrm{Nm}^{-2}\) is

In the detection of II group acid radical, the salt containing chloride is treated with concentrated sulphuric acid, the colourless gas is liberated. The name of the gas is

Lucas test is associated with

A fruit that develops from a single flower with a syncarpous pistil is

If \( [x] \) represents the greatest integer function and \( f(x)=x-[x]-\cos x \) then \( f^{\prime}\left(\frac{I}{2}\right)= \)

Match List-I with List-II
\begin{array}{|l|l|l|l|}\hline & \text{List-I (Types of redox reactions)} & & \text{List-II (Examples)} \\\hline \text{a}. & \text{Combination reaction} & \text{(i)} & \mathrm{Cl}_{2(\mathrm{~g})}+2 \mathrm{Br}_{(\mathrm{aq})}^{-} \rightarrow 2 \mathrm{Cl}_{(\mathrm{aq})}^{-}+\mathrm{Br}_{2(\mathrm{l})} \\\hline \text{b.} & \text{Decomposition reaction} & \text{(ii)} & 2 \mathrm{H}_2 \mathrm{O}_{2(\mathrm{aq})} \rightarrow 2 \mathrm{H}_2 \mathrm{O}_{(1)}+\mathrm{O}_{2(\mathrm{~g})} \\\hline \text{c.} & \text{Displacement reaction} & \text{(iii)} & \mathrm{CH}_{4(\mathrm{~g})}+2 \mathrm{O}_{2(\mathrm{~g})} \xrightarrow{\Delta} \mathrm{CO}_{2(\mathrm{~g})}+2 \mathrm{H}_2 \mathrm{O}_{(1)} \\\hline \text{d.} & \text{Disproportionation reaction} & \text{(iv)} & \mathrm{H}_2 \mathrm{O}_{(1)} \xrightarrow{\Delta} 2 \mathrm{H}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})} \\\hline\end{array}

Choose the correct answer from the options given below.

Consider an electrical conductor connected across a potential difference \(V\). Let \(\Delta q\) be a small charge moving through it in time \(\Delta t\). If \(I\) is the electric current through it,
I. the kinetic energy of the charge increases by \(I V \Delta t\).
II. the electric potential energy of the charge decreases by \(I V \Delta t\).
III. the thermal energy of the conductor increases by IV \(\Delta t\).
Choose the correct option.

Let \(f(x)=\left|\begin{array}{ccc}\cos x & x & 1 \\ 2 \sin x & x & 2 x \\ \sin x & x & x\end{array}\right|\). Then, \(\lim _{x \rightarrow 0} \frac{f(x)}{x^2}\) is

If \( \tan x=\frac{3}{4}, \Pi < x < \frac{3 \Pi}{2} \), then the value of \( \cos \frac{x}{2} \) is