A compound ' \(X\) ' is a weak acid and it exhibits colour change at \(pH\) close to the equivalence point during neutralization of \(NaOH\) with \(CH _{3} COOH\). Compound ' \(X\) ' exists in ionized form in basic medium. The compound '\(X\)' is.

Match List \(I\) with List \(II\)

	List \(I\)		List \(II\)
\(A\)	\(\alpha\)-Glucose and \(\alpha\)-Galactose	\(I\)	Functional isomers
\(B\)	\(\alpha\)-Glucose and \(\beta\)-Glucose	\(II\)	Homologous
\(C\)	\(\alpha\)-Glucose and \(\alpha\)-Fructose	\(III\)	Anomers
\(D\)	\(\alpha\)-Glucose and \(\alpha\)-Ribose	\(IV\)	Epimers

Choose the correct answer from the options given below:

The metal \(d-\) orbital that can directly facing the ligands in \(K_3[Co(CN)_6]\) are

Which among the following react with Hinsberg's reagent?

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The first and second ionisation enthalpies of a metal are \(496\) and \(4560 \;\mathrm{kJ} \mathrm{mol}^{-1},\) respectively. How many moles of \(\mathrm{HCl}\) and \(\mathrm{H}_{2} \mathrm{SO}_{4}\) respectively, will be needed to react completely with \(1\) mole of the metal hydroxide?

Which is the correct order of second ionization potential of \(C, N, O\) and \(F\) in the following ?

Given below are two statements: Statement \(I\): Group \(13\) trivalent halides get easily hydrolyzed by water due to their covalent nature. Statement \(II\): \(\mathrm{AlCl}_3\) upon hydrolysis in acidified aqueous solution forms octahedral \(\left[\mathrm{Al}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{3+}\) ion. In the light of the above statements, choose the correct answer from the options given below :

An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. The ratio of inductive reactance to its resistance is ___________. \((\pi=3.14)\)

\(BeCl _{2}\) reacts with \(LiAlH _{4}\) to give ....

A Carnot's engine working between \(400\, K\) and \(800\, K\) has a work output of \(1200\, J\) per cycle. The amount of heat energy supplied to the engine from the source in each cycle is ........... \(J\)

Conductor wire ABCDE with each \(\operatorname{arm} 10 \mathrm{~cm}\) in length is placed in magnetic field of \(\frac{1}{\sqrt{2}}\) Tesla, perpendicular to its plane. When conductor is pulled towards right with constant velocity of \(10 \mathrm{~cm} / \mathrm{s}\), induced emf between points A and E is _____ mV.

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) :


Three identical spheres of same mass undergo one dimensional motion as shown in figure with initial velocities \(v_{\mathrm{A}}=5 \mathrm{~m} / \mathrm{s}, v_{\mathrm{B}}=2 \mathrm{~m} / \mathrm{s}, v_{\mathrm{C}}=4 \mathrm{~m} / \mathrm{s}\). If we wait sufficiently long for elastic collision to happen, then \(v_{\mathrm{A}}=4 \mathrm{~m} / \mathrm{s}, v_{\mathrm{B}}=2 \mathrm{~m} / \mathrm{s}\), \(v_{\mathrm{C}}=5 \mathrm{~m} / \mathrm{s}\) will be the final velocities.

Reason (R): In an elastic collision between identical masses, two objects exchange their velocities.
In the light of the above statements, choose the correct answer from the options given below :

A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per this experiment is \(\mathrm{P} \times 10^{11} \mathrm{Nm}^{-2}\), where the value of P is: (Take \(\left.\mathrm{g}=3 \pi \mathrm{~m} / \mathrm{s}^2\right)\)