The calculated magnetic moment using the 'spin only' formula \(\mu=\sqrt{n(n+2)}\) for \(\mathrm{Cr}^{2+}\) and \(\mathrm{Fe}^{2+}\) respectively is

The presence or absence of hydroxyl group on which carbon atom of sugar differentiate RNA and DNA :

Exposure of chloroform in air in the presence of sunlight releases a gas which is poisonous. Identify the gas.

Match List - I with List - II.

List - I	List - II
(A) Diamagnetic solid	(I) \(CrO _2\)
(B) Ferromagnetic solid	(II) \(Fe _3 O _4\)
(C) Antiferromagnetic	(III) NaCl
(D) Ferrimagnetic solid	(IV) MnO

Choose the correct answer from the options given below :

Arrange these ions into decreasing order of their ionic radii :
(A) \(\text{Ce}^{3+}\)
(B) \(\text{Pr}^{3+}\)
(C) \(\text{La}^{3+}\)
(D) \(\text{Nd}^{3+}\)
(E) \(\text{Pm}^{3+}\)
Choose the correct answer from the options given below :

The standard potential of the cell ( \(E_{\text {cell }}^{\ominus}\) ) is related to the equilibrium constant ( \(K_C\) ) as

Molecularity of the reaction given below is :
\(2NO + O_2 \rightarrow 2NO_2\)

\(f(x)=\left\{\begin{array}{ll}\frac{\sqrt{1+p x}-\sqrt{1-p x}}{x}, & -1 \leq x<0 \\\frac{2 x+1}{x-2}, & 0 \leq x \leq 1\end{array}\right.\)
is continuous in the interval \([-1,1]\), then \(p\) is equal to :

Forward biasing of a p-n junction

Read the passage carefully and answer the Questions
\(KMnO _4\) is prepared by the fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidizing agent like \(KNO _3\) to give a dark-green manganate ion which disproportionate to give permanganate as follows.
\(\begin{array}{l}2 MnO _2+4 KOH + O _2 \rightarrow 2 K_2 MnO _4+2 H _2 O \\ 3 K_2 MnO _4+4 H ^{+} \rightarrow 2 KMnO _4+ MnO _2+2 H _2 O \end{array}\)
On heating \(K _2 MnO _4\) decomposes at 513 K to give \(K _2 MnO _4\). Permanganate ion is tetrahedral and diamagnetic
Acidified \(KMnO _4\) acts a strong oxidizing agent which oxidizes oxalic acid, ferrous ions, nitrite ion and iodides.
HCl is not used to make the medium acidic in oxidation reaction of \(KMnO _4\) in acidic medium, because....

At the time of sunset the sun appears to be at an altitude higher than its actual position. This is because of

The interval in which \(f(x)=2 x^3-9 x^2+12 x+1\) is decreasing is:

Out of students in a school, it is known that \(65 \%\) reside in hostel and \(35 \%\) are day scholars. Previous year results report that \(40 \%\) of the students who reside in hostel attain A grade and \(20 \%\) of day scholars attain A grade in their annual examination.
At the end of the year, one student is chosen at random from the class.
Probability of the selected student attaining grade \(A\) is: