In given reaction \(3 MnO _4^{2-}+4 H ^{+} \rightarrow 2 MnO _4^{-}+ MnO _2+2 H _2 O\) oxidation state shown by Mn are.
(A) VI
(B) II
(C) VII
(D) IV
(E) V
Choose the answer from the options given below :

Substitution nucleophilic unimolecular (S\(_N\)1) reaction is a two step process carried out in polar protic solvents.
It follows kinetics of :
\((CH_3)_3C-Br + OH^– \rightarrow (CH_3)_3COH + Br^–\)

The compounds\([\text{CuSO}_4(\text{NH}_3)_2]\text{Br}_2\)and\([\text{Cu}(\text{NH}_3)_2\text{Br}_2]\text{SO}_4\) are:

The IUPAC name of the following compound is

The correct cell representation for the following reaction is
\(M g ( s )+ 2 \mathrm { Ag } ^ { + } (0.0001 M ) \rightarrow M g ^{ 2 + }(0.130 M )+ 2 A g (s)\)

Magnetic moment of \(\text{Co}^{2+}\) will be

The compound does not respond to iodoform test is :

Two polaroids \( P_1 \) and \( P_2 \) are set in crossed positions. A third polaroid \( P_3 \) is placed between the two making an angle \( \alpha \) with the axis passing from the first polaroid \( P_1 \). In what orientation will the transmitted intensity be maximum?

Zooplanktons species suspended their development during unfavourable conditions. This phenomenon is known as:

There are two kinds of nucleases - exonucleases and endonucleases. Exonucleases remove nucleotides from the ends of the DNA whereas, endonucleases make cuts at specific positions within the DNA. The cutting of DNA by restriction endonucleases results in the fragments of DNA. These fragments can be separated by a technique known as gel electrophoresis. Since DNA fragments are negatively charged molecules they can be separated by forcing them to move towards the anode under an electric field through a medium/matrix. Small volume cultures cannot yield appreciable quantities of products. To produce in large quantities, the development of bioreactors, where large volumes (100 - 1000 litres) of culture can be processed, was required. Thus, bioreactors can be thought of as vessels in which raw materials are biologically converted into specific products, individual enzymes, etc., using microbial plant, animal or human cells. PCR stands for Polymerase Chain Reaction. In this reaction, multiple copies of the gene (or DNA) of interest are synthesised in vitro using two sets of primers (small chemically synthesised oligonucleotides that are complementary to the regions of DNA) and the enzyme DNA polymerase.
Which one of the following statements is correct about DNA separation and isolation?

An electron enters a crossed electrical and magnetic field region with a speed of \( 100 \text{ m s}^{-1} \) along \( +x \)-axis and passes undeviated. The strength of magnetic field is 5.0 T and it acts along \( +z \)-axis. Give the electrical field in vector notations indicating its magnitude as well as direction :

The curve \(y = f ( x )\) is normal probability curve, then which of the following statements are correct?
(A) mean, median and mode of the distribution coincide.
(B) the area bounded by the curve \(y = f ( x )\) and \(x\)-axis is one unit.
(C) The curve is symmetrical about the line \(x =\mu\), where \(\mu\) is the mean.
(D) y -axis is an asymptote to the curve.
Choose the correct answer from the options given below :

In Young's double slit experiment, the ratio of slit widths is 4 : 1. The intensity ratio in the interference pattern would be :