Which one of the following is a correct set?

For an electron in the d-orbital, the orbital angular momentum is

An oxoacid of phosphorus ' X ' reduces silver nitrate solution to metallic silver and gets oxidised to another compound \(\mathrm{Y}. \mathrm{X}\) and Y respectively are.

Which of the following will have a spin only magnetic moment of 2.86 BM ?

Which one of the following of 2,3-butane diol is enantiomeric?

If the solubility product of \(\mathrm{Ni}(\mathrm{OH})_2\) is \(4.0 \times 10^{-15}\), the solubility (in \(\mathrm{mol} \mathrm{L}^{-1}\) ) is

Among the following given substances, the one with zero ${\Delta }_{\mathrm{f}}\mathrm{H}°$ is

Identify all the products formed when \(\mathrm{XeF}_4\) is completely hydrolysed.

Let \(f: \mathrm{A} \rightarrow \mathrm{B}\) be defined as \(f(x)=\frac{1}{2}-\tan \left(\frac{\pi x}{2}\right)\) and \(g: \mathrm{B} \rightarrow \mathrm{C}\) be defined \(g(x)=\sqrt{3+4 x-4 x^2}\). If A, B, C are subsets of \(\mathbb{R}\) and \(f\) is an onto function then the range of the function \(f(x)\) is

Fresnel diffraction is produced due to light rays falling on a small obstacle. The intensity of light at a point on a screen beyond an obstacle depends on

The set of all real values of \(x\) satisfying the inequalíties \(x^2-4 x+3>0\) and \(x^2-2 x-8 \leq 0\), is

Match the following methods for treating hardness of water with their corresponding reagents used. \begin{array}{|c|c|c|} \hline List-I & & List II \ \hline A. Treatment with washing soda & \mathrm{I}. & \mathrm{Ca}(\mathrm{OH})_2 \ \hline B. Calgon's method & II. & \mathrm{Na}_2 \mathrm{CO}_3 \ \hline C. Clark's method & III & \mathrm{NaAlSiO}_4 \ \hline D. Zeolite/permutit process & IV & \mathrm{Na}_6 \mathrm{P}_6 \mathrm{O}_{18} \ \hline \end{array} The correct match is \(\begin{array}{llllllll}\text { A } & \text { B } & \text { C } & \text { D } & \text { A } & \text { B } & \text { C } & \text { D }\end{array}\)

If the \(k^{\text {th }}\) term in the expansion of \(\left(\frac{3}{2} x^2-\frac{1}{3 x}\right)^6\) is independent of \(x\), then the numerically greatest term in the expansion of \(\left(\frac{3}{2} x^2-\frac{1}{3 x}\right)^k\) when \(x=\frac{2}{3}\), is