Arrange the following free radicals in the correct order of their stability
(i) \(\mathrm{CH}_2=\stackrel{\bullet}{\mathrm{C}} \mathrm{H}\)
(ii) \(\stackrel{\bullet}{\mathrm{C}} \mathrm{H}_3\)
(iii) \(\mathrm{CH}_3-\stackrel{\bullet}{\mathrm{C}} \mathrm{H}-\mathrm{CH}_3\)
(iv) \(\left(\mathrm{CH}_3\right)_3 \dot{\mathrm{C}}\)

Reduction of nitrobenzene with \(\mathrm{Zn}\) and alcoholic \(\mathrm{KOH}\) solution results in the formation of the following compound

The standard reduction potentials of \(\mathrm{Zn}^{2+}\left|\mathrm{Zn}, \mathrm{Cu}^{2+}\right| \mathrm{Cu}\) and \(\mathrm{Ag}^{+} \mid \mathrm{Cu}\) and \(\mathrm{Ag}^{+} \mid \mathrm{Ag}\) are respectively \(-0.76,0.34\) and \(0.8 \mathrm{~V}\). The following cells were constructed :
(1) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{Cu}^{2+}\right| \mathrm{Cu}\)
(2) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{Ag}^{+}\right| \mathrm{Ag}\)
(3) \(\mathrm{Cu}\left|\mathrm{Cu}^{2+} \| \mathrm{Ag}^{+}\right| \mathrm{Ag}\)
What is the correct order of \(E_{\text {cell }}^{\circ}\) of these cells?

The incorrect statement from the following is

What is \(\mathrm{E}_{\text {cell }}\) (in V) of the following cell at 298 K ?
\(\left(\mathrm{E}_{\mathrm{Zn}^{2+} / \mathrm{Zn}}^{\ominus}=-0.76 \mathrm{~V} ; \mathrm{E}_{\mathrm{Ni}^{2+} / \mathrm{Ni}}^{\ominus}=-0.25 \mathrm{~V} ; \frac{2.303 \mathrm{RT}}{\mathrm{F}}=0.06 \mathrm{~V}\right)\)
\(\mathrm{Zn}(\mathrm{s})\left|\mathrm{Zn}^{2+}(0.01 \mathrm{M}) \| \mathrm{Ni}^{2+}(0.1 \mathrm{M})\right| \mathrm{Ni}(\mathrm{s})\)

Find the false statement for ideal gases.

At 273 K the maximum work done when pressure on 10 g of hydrogen is reduced from 10 atm to 1 atm under isothermal, reversible conditions is (Assume the gas behaves ideally) \(\left(\mathrm{R}=8.3 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)\)

There exist \(\theta\) such that \(\mathrm{a}>|\sec \theta|\), then \(\int \frac{d x}{1+a \cos x}=\)

A block \(P\) of mass \(M_P\) is in contact with another block \(Q\) of mass \(M_Q\) as shown in the fígure and they are placed on a smooth floor. Force on block Qis

If a point \(P\) moves such that the sum of the distances from \(P\) to the point \(A(1,-1)\) and \(B(-1,1)\) is always 4 , then the equation for the locus of \(P\) is

If \(A=\left[\begin{array}{ccc}1 & 1 & 3 \\ 5 & 2 & 6 \\ -2 & -1 & -3\end{array}\right]\), then \(A+A^3+A^4+A^5+3 I=\)

The reaction of 1-bromohexane with aqueous \(\mathrm{NaOH}\) solution follows the order

The process which invovles the treatment of the ore with a suitable reagent so as to make it soluble but not impurities is called