Match List \(I\) with List \(II\).Choose the correct answer from the options given below :

The number of s-electrons present in an ion with \(55\) protons in its unipositive state is

The correct order in aqueous medium of basic strength in case of methyl substituted amines is :

What will occur if a block of copper metal is dropped into a beaker containing a solution of \(1\,M\,ZnSO_4\) ?

Given below are two statements :
Statement I : \( K > Mg > Al > B \) is the correct order in terms of metallic character.
Statement II : Atomic radius is always greater than the ionic radius for any element.
In the light of the above statements, choose the correct answer from the options given below

Isomeric hydrocarbons \(\quad \rightarrow \quad\) negative Baeyer's test
(Molecular formula \(\mathrm{C}_9 \mathrm{H}_{12}\) )

The total number of isomers from above with four different non-aliphatic substitution sites is -

The gas produced by treating an aqueous solution of ammonium chloride with sodium nitrite is .... .

Which of the following reactions will not produce a racemic product ?

If \(\int \mathrm{e}^x\left(\frac{x \sin ^{-1} x}{\sqrt{1-x^2}}+\frac{\sin ^{-1} x}{\left(1-x^2\right)^{3 / 2}}+\frac{x}{1-x^2}\right) \mathrm{d} x=\mathrm{g}(x)+\mathrm{C}\), where C is the constant of integration, then \(g\left(\frac{1}{2}\right)\) equals :

Consider the following two half-cell reactions along with the standard reduction potential given:
\(CO_2 + 6H^+ + 6e^- \rightarrow CH_3 OH + H_2 O \quad E°_{red} = 0.02\) V
\(\dfrac{1}{2} O_2 + 2H^+ + 2e^- \rightarrow H_2 O \quad E°_{red} = 1.23\) V
A fuel cell was set up using the above two reactions such that the cell operates under the standard condition of \(1\) bar pressure and \(298\) K temperature. The fuel cell works with \(80\%\) efficiency. If the work derived from the cell using \(1\) mol of \(CH_3 OH\) is used to compress an ideal gas isothermally against a constant pressure of \(1\) kPa, then the change in the volume of the gas, \(\Delta V = \) _____ m\(^3\). (nearest integer)
Given: \(F = 96500\) C mol\(^{-1}\)

List\(-I\)	List\(-II\)
\(UV\) rays	\((i)\) Diagnostic tool in medicine
\(X-\) rays	\((ii)\) Water purification
Microwave	\((iii)\) Communication, Radar
Infrared wave	\((iv)\) Improving visibility in foggy days

Choose the correct answer from the options given below.

If for some \(x \in  R\), the frequency distribution of the marks obtained by \(20\) students in a test is
Marks                \(2\)                \(3\)                \(5\)                  \(7\)
Frequency     \((x+1)^2\)      \(2x -5\)        \(x^2 -3x\)       \(x\)
Then the mean of the marks is

In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence of electric and magnetic fields?
A. \(\mathrm{n}=1, \mathrm{l}=0, \mathrm{~m}_1=0\)
B. \(\mathrm{n}=2, \mathrm{l}=0, \mathrm{~m}_1=0\)
C. \(\mathrm{n}=2, \mathrm{l}=1, \mathrm{~m}_1=1\)
D. \(\mathrm{n}=3, \mathrm{l}=2, \mathrm{~m}_1=1\)
E. \(\mathrm{n}=3, \mathrm{l}=2, \mathrm{~m}_1=0\)
Choose the correct answer from the options given below: