For the electro chemical cell \(\mathrm{M}\left|\mathrm{M}^{2+}\right||\mathrm{X}| \mathrm{X}^{2-}\) If \(\mathrm{E}_{\left(\mathrm{M}^{2+} / \mathrm{M}\right)}^0=0.46 \mathrm{~V}\) and \(\mathrm{E}_{\left(\mathrm{x} / \mathrm{X}^{2-}\right)}^0=0.34 \mathrm{~V}\). Which of the following is correct?

The lanthanoide that would show colour is

The spin only magnetic moment value of the ion among \(\mathrm{Ti}^{2+}, \mathrm{V}^{2+}, \mathrm{Co}^{3+}\) and \(\mathrm{Cr}^{2+}\), that acts as strong oxidising agent in aqueous solution is _______ BM (Near integer). (Given atomic numbers: \(\mathrm{Ti}: 22, \mathrm{~V}: 23, \mathrm{Cr}: 24\), Co: \(27\))

Given below are two statements :
Statement (I) : 1,2,3-Trihydroxypropane can be separated from water by simple distillation.
Statement (II) : An azeotropic mixture cannot be separated by fractional distillation.
In the light of the above statements, choose the correct answer from the options given below :

The number of water molecule \((s)\) not coordinated to copper ion directly in \(CuSO_4.5H_2O,\) is

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

List \(I\) Name of reaction	List \(II\) Reagent used
\(A\) Hell-Volhard-Zelinsky reaction	\(I\) \(NaOH + I _2\)
\(B\) Iodoform reaction	\(II\) (i) \(CrO _2 Cl _2, CS _2\) (ii)\(H _2 O\)
\(C\) Etard reaction	\(III\) (i) \(Br _2 /\) red phosphorus (ii) \(H _2 O\)
\(D\) Gatterman-Koch reaction	\(IV\) \(CO , HCl\), anhyd.\(AlCl_3\)

Choose the correct answer from the options given below:

Among the following species the one which causes the highest \(CFSE,\,\,\Delta _0\) as a ligand is

In the reaction of potassium dichromate, potassium chloride and sulfuric acid (conc.), the oxidation state of the chromium in the product is \((+)\) ________.

Which of the following statement is true with respect to \(\mathrm{H}_2 \mathrm{O}, \mathrm{NH}_3\) and \(\mathrm{CH}_4\) ?
A. The central atoms of all the molecules are \(\mathrm{sp}^3\) hybridized.
B. The \(\mathrm{H}-\mathrm{O}-\mathrm{H}, \mathrm{H}-\mathrm{N}-\mathrm{H}\) and \(\mathrm{H}-\mathrm{C}-\mathrm{H}\) angles in the above molecules are \(104.5^{\circ}, 107.5^{\circ}\) and \(109.5^{\circ}\), respectively.
C. The increasing order of dipole moment is \(\mathrm{CH}_4 \lt \mathrm{NH}_3 \lt \mathrm{H}_2 \mathrm{O}\).
D. Both \(\mathrm{H}_2 \mathrm{O}\) and \(\mathrm{NH}_3\) are Lewis acids and \(\mathrm{CH}_4\) is a Lewis base.
E. A solution of \(\mathrm{NH}_3\) in \(\mathrm{H}_2 \mathrm{O}\) is basic. In this solution \(\mathrm{NH}_3\) and \(\mathrm{H}_2 \mathrm{O}\) act as Lowry-Bronsted acid and base respectively.
Choose the correct answer from the options given below:

The exit surface of a prism with refractive index \(n\) is coated with a material having refractive index \(\frac{ n }{2}\). When this prism is set for minimum angle of deviation it exactly meets the condition of critical angle. The prism angle is _________

Let function \(F\) be defined as \(f\left( x \right) = \int\limits_1^x {\frac{{{e^t}}}{t}dt\,,\,x > 0} \) then the value of the integral \(\int\limits_1^x {\frac{{{e^t}}}{{t + a}}dt\,} \) , where \(a > 0\) , is

\(PCl _{5}\) is well known. but \(NCl _{5}\) is not. Because.

On treatment of \(100\, mL\) of \(0.1\, M\) solution of \(CoCl_3.6H_2O\) with excess \(AgNO_3; 1.2 \times 10^{22}\) ions are precipitated. The complex is :