Identify $\left(\mathrm{P}\right)$ and $\left(\mathrm{Q}\right)$ in the following reaction:
$2{\mathrm{CH}}_3\mathrm{Cl}+\mathrm{Si} \underset{570 \mathrm{K}}{\overset{\mathrm{Cu} \mathrm{powder}}{\to }}\left(\mathrm{P}\right)\stackrel{{\mathrm{H}}_2\mathrm{O}}{⟶}\left(\mathrm{Q}\right)⟶\mathrm{Straight} \mathrm{chain} \mathrm{polymer}$

The velocities of two particles \(A\) and \(B\) are 0.05 and \(0.02 \mathrm{~ms}^{-1}\) respectively. The mass of \(B\) is five times the mass of \(A\). The ratio of their de-Broglie's wavelength is

Which of the following statements are not correct?
i. Atomic radius of \(\mathrm{Ga}\) is less than that of \(\mathrm{Al}\)
ii. The order of ionization enthalpy of group 13 elements is \(\mathrm{B}>\mathrm{Al}>\mathrm{Ga}>\mathrm{In}>\mathrm{Tl}\)
iii. Boron trioxide is amphoteric in nature

Calculate the number of protons, neutrons and electrons in \({ }_{16}^{32} \mathrm{~S}^{2-}\).

The product $\mathrm{Q}$ and $\mathrm{R}$ in the following reactions respectively are ${\mathrm{H}}_2+{\mathrm{CH}}_3\mathrm{C}\equiv \mathrm{CH}\stackrel{ \mathrm{Lindlar}\text{'}\mathrm{s} \mathrm{catalyst}}{\to }\mathrm{P}\underset{\mathrm{Zn}+{\mathrm{H}}_2\mathrm{O}}{\overset{{\mathrm{O}}_3}{\to }}\mathrm{Q}+\mathrm{R}$

Conc. \(\mathrm{HNO}_3\) turns brown on standing due to formation of

Which of the following atoms, in its ground state has the highest number of unpaired electrons?

If a constant force of \((2 \hat{i}+3 \hat{j}+4 \hat{k}) \mathrm{N}\) acting on a body of mass 5 kg displaces it from \((3 \hat{i}-4 \hat{k}) m\) to \((2 \hat{i}+2 \hat{j}+3 \hat{k}) m\), then the work done by the force on the body is

Two square shaped metal plates of side \(1 \mathrm{~m}\), kept \(0.01 \mathrm{~m}\) apart in air form a parallel plate capacitor. It is connected to a battery of \(500 \mathrm{~V}\). The plates of the capacitor are then immersed in an insulting oil by lowering the plates vertically with a speed of \(0.001 \mathrm{~ms}^{-1}\). If the dielectric constant of the oil is 11 , then current drawn from the battery during this process is

A \(70 \mathrm{mH}\) inductor is connected to \(220 \mathrm{~V}, 50 \mathrm{~Hz} \mathrm{AC}\) supply. The rms value of the current in the circuit is

The variance of the following data is
\[
\begin{array}{cccccccc}
x_i & 6 & 10 & 14 & 18 & 24 & 28 & 30 \\
f_i & 2 & 4 & 7 & 12 & 8 & 4 & 3
\end{array}
\]

Two towers \(A\) and \(B\), each of height \(20 \mathrm{~m}\) are situated a distance \(200 \mathrm{~m}\) apart. A body thrown horizontally from the top of the tower \(A\) with a velocity \(20 \mathrm{~ms}^{-1}\) towards the tower \(B\) hits the ground at point \(P\) and another body thrown horizontally from the top of tower \(B\) with a velocity \(30 \mathrm{~ms}^{-1}\) towards the tower \(A\) hits the ground at point \(Q\). If a car starting from rest from \(P\) reaches \(Q\) in 10 seconds, then the acceleration of the car is \(\left(\right.\) acceleration due to gravity \(\left.=10 \mathrm{~ms}^{-2}\right)\)

Which of the following compounds are aromatic?