Presence of nitrate ions can be detected by adding freshly prepared \(\text{FeSO}_4\) solution. Then concentrated \(\text{H}_2\text{SO}_4\) is added along the walls of the test tube.
A brown ring is formed at the interface having the formula \([\text{Fe(H}_2\text{O)}_5\text{(NO)}]^{2+}\.
The oxidation state of Fe in this complex is

In alcohols, carbon and oxygen atom are

Given :
\(\begin{array}{l}
E_{K^{+} / K}^{\circ}=-2.93 V \\
E_{Ag^{+} / Ag}^{\circ}=0.80 V \\
E_{Hg^{2+} / Hg}^{\circ}=0.79 V \\
E_{Mg^{2+} / Mg^{-}}^{\circ}=-2.37 V \\
E_{Cr^{3+} / Gr}^{\circ}=-0.74 V
\end{array}\)
Choose the correct order :
(A) \(Ag < Hg < Cr < Mg < K\) (increasing reducing power)
(B) \(Ag < Hg < Cr < Mg < K\) (decreasing oxidising power)
(C) \(Ag > Hg > Cr > Mg > K\) (decreasing oxidising power)
(D) \(Hg > Cr > Ag > K > Mg\) (increasing reactivity )
(E) \(K > Mg > Cr > Hg > Ag\) (decreasing reactivity order)
Choose the correct answer from the options given below :

Which one of the following compounds is achiral?

2-Methyl propene can be prepared by the reaction of:

Molar mass of a non-volatile solute (in g/mol) in its \(10\%\) by mass aqueous solution showing \(2\%\) decrease in its vapour pressure is :

Read the passage carefully and answer the questions
Amines are considered as derivatives of ammonia obtained by replacement of hydrogen atoms with alkyl or aryl groups. In nature they occur among proteins, vitamins, alkaloids and hormones. These can be primary, secondary or tertiary depending on the number of hydrogen groups replaced. They can be prepared from nitro compounds, alkyl halides, nitriles, amides etc. Due to unshared pair of electrons they behave as Lewis bases. Influence of the number of hydrogen atoms at nitrogen atom is displayed in physical properties such as solubility, boiling point and chemical reactions including basicity. Basic character of amines is expressed in terms of their \(K_b\) and \(p K_b\) values. Three classes of amines can be distinguished with p-toluene sulphonyl chloride which reacts with primary and secondary ddu amines. Amino group when attached to benzene ring behaves as an activating and ortho para directing group.
Which of the following is a tertiary amine?

The mean of the number of heads in the two tosses of a coin is

The area of region bounded by two curves \(y^2=x\) and \(x^2=y\) is:

A problem in mathematics is given to three students whose chances of solving it are \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}\) respectively. The probability that the problem is solved is

If the line \(\vec{r}=(\hat{i}-2 \hat{j}+\hat{k})+\lambda(2 \hat{i}+\hat{j}+2 \hat{k})\) is parallel to the plane \(\vec{r} \cdot(3 \hat{i}-2 \hat{j}+m \hat{k})=14\), then value of \(m\) is :

Match the properties given in List-I with the metals given in List-II

List-I (Property)	List-II (Metal)
(A) 3d series element with highest melting point	(I) Os
(B) element which can show +8 oxidation state	(II) Fe
(C) 3d series element with largest number of oxidation states	(III) Cr
(D) constituent of Mischmetall	(IV) Mn

Choose the correct answer from the options given below:

Which of the following step is not the part of downstream processing?