The element the usually does \(NOT\) show variable oxidation states is

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.

During " S " estimation, 160 mg of an organic compound gives 466 mg of barium sulphate. The percentage of Sulphur in the given compound is _______ %.
(Given molar mass in \(\mathrm{g} \mathrm{mol}^{-1}\) of \(\mathrm{Ba}: 137, \mathrm{~S}: 32, {\mathrm{O}: 16}\) )

Following figure shows dependence of molar conductance of two electrolytes on concentration. \(\Lambda \stackrel{0}{ m }\) is the limiting molar conductivity.The number of Incorrect statement(s) from the following is \(...........\) \((A)\) \(\Lambda \stackrel{0}{ m }\) for electrolyte \(A\) is obtained by extrapolation \((B)\) For electrolyte B, vx \(\Lambda m\) vs \(\sqrt{ c }\) graph is a straight line with intercept equal to \(\Lambda \stackrel{0}{ m }\) \((C)\) At infinite dilution, the value of degree of dissociation approach zero for electrolyte \(B\). \((D)\) \(\Lambda \stackrel{0}{ m }\) for any electrolyte \(A\) or \(B\) can be calculated using \(\lambda^{\circ}\) for individual ions.

An amine on reaction with benzenesulphonyl chloride produces a compound insoluble in alkaline solution. This amine can be prepared by ammonolysis of ethyl chloride. The correct structure of amine is

Lowest Oxidation number of an atom in a compound \(\mathrm{A}_2 \mathrm{~B}\) is -\(2\) . The number of an electron in its valence shell is _______.

Consider the following data.
(i) \(2Al(s) + 6HCl(aq) \rightarrow Al_2Cl_6(aq) + 3H_2(g) + 1200\) kJ/mol
(ii) \(H_2(g) + Cl_2(g) \rightarrow 2HCl(g) + 164\) kJ/mol
(iii) \(HCl(g) + aq \rightarrow HCl(aq) + 83\) kJ/mol
(iv) \(Al_2Cl_6(s) + aq \rightarrow Al_2Cl_6(aq) + 663\) kJ/mol
The enthalpy of formation of anhydrous solid \(Al_2Cl_6\) is :

Consider a hyperbola \(\mathrm{H}\) having centre at the origin and foci and the \(\mathrm{x}\)-axis. Let \(\mathrm{C}_1\) be the circle touching the hyperbola \(\mathrm{H}\) and having the centre at the origin. Let \(\mathrm{C}_2\) be the circle touching the hyperbola \(\mathrm{H}\) at its vertex and having the centre at one of its foci. If areas (in sq. units) of \(\mathrm{C}_1\) and \(\mathrm{C}_2\) are \(36 \pi\) and \(4 \pi\), respectively, then the length (in units) of latus rectum of \(\mathrm{H}\) is :

The number of real roots of the equation \(\sqrt{x^2-4 x+3}+\sqrt{x^2-9}=\sqrt{4 x^2-14 x+6}\), is:

Consider following statements:
A. Surface tension arises due to extra energy of the molecules at the interior as compared to the molecules at the surface, of a liquid.
B. As the temperature of liquid rises, the coefficient of viscosity increases.
C. As the temperature of gas increases, the coefficient of viscosity increases
D. The onset of turbulence is determined by Reynold's number.
E. In a steady flow two stream lines never intersect.
Choose the correct answer from the options given below:

Let \(y=x\) be the equation of a chord of the circle \(C_{1}\) (in the closed half-plane \(x\ge0)\) of diameter 10 passing through the origin. Let \(C_{2}\) be another circle described on the given chord as its diameter. If the equation of the chord of the circle \(C_{2}\), which passes through the point (2, 3) and is farthest from the center of \(C_{2}\), is \(x+ay+b=0,\) then \(a-b\) is equal to:

If \(\int {{x^5}\,{e^{ - {x^2}}}\,dx\, = \,g\,(x)\,{e^{ - {x^2}}} + \,c,} \) where \(c\) is a constant of integration, then \(g(-1)\) is equal to

The maximum height reached by a projectile is \(64 \mathrm{~m}\). If the initial velocity is halved, the new maximum height of the projectile is _______ \(\mathrm{m}\).