The major product \('A'\) of the following given reaction has \(......\,sp ^{2}\) hybridized carbon atoms. \(2,7-\)Dimethyl\(\,1 - 2, 6 -\) octadiene \(\,\,\overset{{H^+}}{\rightarrow}\) \(A\) (Major Product)

A chemist has \(4\) samples of artificial sweetner \(A\). \(\mathrm{B}, \mathrm{C}\) and \(\mathrm{D}\). To identify these samples, he performed certain experiments and noted the following observations : \((i)\) \(A\) and \(D\) both form blue-violet colour with ninhydrin. \((ii)\) Lassaigne extract of \(\mathrm{C}\) give  positive \(\mathrm{AgNO}_{3}\) test and negative \(\mathrm{Fe}_{4}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]_{3}\) test. \((iii)\) Lassaigne extract of \(\mathrm{B}\) and D gives positive sodium nitroprusside test Based on these observations which option is correct ?

For which of the following compounds Kjeldahl method can be used to determine the percentage of Nitrogen ?

Mass of methane required to produce \(22 \mathrm{~g}\) of \(\mathrm{CO}_2\) after complete combustion is ___________\(g.\) (Given Molar mass in \(g\) mol-1 \(\mathrm{C}=12.0\)  \( \mathrm{H}=1.0 \)  \( \mathrm{O}=16.0)\)

The heat of combustion of ethanol into carbon dioxides and water is \(-327\, kcal\) at constantpressure. The heat evolved (in cal) at constant volume and \(27^{\circ} C\) (if all gases behave ideally) is \(\left( R =2\, cal\, mol ^{-1}\, K ^{-1}\right)\)

Total number of compounds with Chiral carbon atoms from following is___________.
\( \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}\left(\mathrm{NO}_2\right)-\mathrm{COOH} \)
\( \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CHBr}-\mathrm{CH}_2-\mathrm{CH}_3 \)
\( \mathrm{CH}_3-\mathrm{CH}(\mathrm{I})-\mathrm{CH}_2-\mathrm{NO}_2 \)
\( \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}(\mathrm{OH})-\mathrm{CH}_2 \mathrm{OH} \)
\( \mathrm{CH}_3-\mathrm{CH}-\mathrm{CH}(\mathrm{I})-\mathrm{C}_2 \mathrm{H}_5 \)

A solution of \(Ni(NO_3)_2\) is electrolysed between platinum electrodes using \(0.1\) Faraday electricity. How many mole of \(Ni\) will be deposited at the cathode?

The \((S^o)\) of the following substances are \(CH_4\,(g)\,\,186.2\,JK^{-1}\,mol^{-1}\)
\(O_2\,(g)\,\,205.2\,JK^{-1}\,mol^{-1}\)
\(CO_2\,(g)\,\,213.6\,JK^{-1}\,mol^{-1}\)
\(H_2O\,(g)\,\,69. 9\,JK^{-1}\,mol^{-1}\) The entropy change \((\Delta S^o)\)........\(JK^{-1}\,mol^{-1}\)  for the reaction \(CH_4\,(g) + 2O_2\,(g) \to CO_2\,(g) + 2H_2O(l)\) is

\(1\,g\) of a carbonate \(\left( M _2 CO _3\right)\) on treatment with excess \(HCl\) produces \(0.01 mol\) of \(CO _2\) The molar mass of \(M _2 CO _3\) is \(..........\,g\,mol ^{-1}\). (Nearest integer)

Total number of species from the following which can undergo disproportionation reaction _______. \(\mathrm{H}_2 \mathrm{O}_2, \mathrm{ClO}_3^{-}, \mathrm{P}_4, \mathrm{Cl}_2, \mathrm{Ag}, \mathrm{Cu}^{+1}, \mathrm{~F}_2, \mathrm{NO}_2, \mathrm{~K}^{+}\)

A bowl filled with very hot soup cools from \(98^{\circ}\,C\) to \(86^{\circ}\,C\) in \(2\) minutes when the room temperature is \(22^{\circ}\,C\). \(..........\,minutes\) long it will take to cool from \(75^{\circ}\,C\) to \(69^{\circ}\,C\) ?

Consider the following reactions. From these reactions which reaction will give carboxylic acid
as a major product ?
(A) \(\mathrm{R}-\mathrm{C} \equiv \mathrm{N} \xrightarrow[\text { mild condition }]{\text { (i) } \mathrm{H}^{+} / \mathrm{H}_2 \mathrm{O}}\)
(B) \(\mathrm{R}-\mathrm{MgX} \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{CO}_2}\)
(C) \(\mathrm{R}-\mathrm{C} \equiv \mathrm{N} \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{SnCl}_2 / \mathrm{HCl}}\)
(D) \(\mathrm{R} \cdot \mathrm{CH}_2 \cdot \mathrm{OH} \xrightarrow{\mathrm{PCC}}\)
(E)

Choose the correct answer from the options given below:

According to molecular orbital theory, which of the following is true with respect to \(Li_2^ + \) and \(Li_2^ - \) ?