Select the incorrect statement(s)
A. Surface active agents like soaps and synthetic detergents form micelles in water.
B. Soaps are emulsifying agents.
C. \(C _{17} H _{35}\) (hydrocarbon) and - COO (Carboxylate) part of stearate ion \(\left( C _{17} H _{35} COO ^{-}\right)\)both are hydrophobic.
D. Surfactants are basic in nature.
Choose the most appropriate answer from the options given given below:

Optically active alkyl halide undergoing S_N2 substitution involves

The molecule with largest \(C-X\) bond length is

The rate of decomposition of gaseous ammonia on a hot platinum surface at a high pressure does not change when the initial concentration of ammonia is doubled. This is an example of

In which of the following pairs, both the ions are coloured in an aqueous solution?

The vapour pressure of an aqueous solution of a non-volatile solute which boils at \(101.56^\circ C\) at \(25^\circ C\) will be (V.P. of pure water at \(25^\circ C\) is \(200\ mmHg\) and \(K_b\) for water is \(0.52\ K\ kg\ mol^{-1}\)):

In a thermite process, the reducing agent is

Read the following passage carefully and answer the given questions
The separated DNA fragments can be visualized only after staining the DNA with ethidium bromide followed by exposure to UV radiation. Bright orange colored bands of DNA in ethidium bromide stained gel exposed to UV light can be seen. The separated bands of DNA are cut out from the agarose gel and extracted from the gel piece. This step is known as elution. The DNA fragments purified in this way are used in constructing recombinant DNA by joining them with a cloning vector.
The DNA fragments are separated by-

If corner points of the bounded feasible region are \((0,0),(3,0)\) and \((0,3)\) and objective function is \(Z=4 x+7 y\), then the maximum value of \(Z\) is

Three identical resistors are connected first in series to an electrical voltage V. Let I be the total current flowing in the circuit. These resistors are disconnected and again connected in parallel with the same source. Which of the following statements are true?
(A) The potential difference across each resistor is V/3 in series connection
(B) The potential difference across all three resistors in parallel connection is 3V
(C) The current flowing in each resistor in series connection is the same as I
(D) The current flowing through each resistor in parallel combination is equal to 31
Choose the correct answer from the options given below:

Read the following passage carefully and answer the given questions.
Some strains of Bacillus thuringiensis produce proteins that kill certain insects such as lepidopterans (tobacco budworm, armyworm), coleopterans (beetles) and dipterans (flies, mosquitoes). B. thuringiensis forms protein crystals during a particular phase of their growth. Transgenic animals that produce useful biological products can be created by the introduction of the portion of DNA (or genes) which codes for a particular product such as human protein (a-1-antitrypsin) used to treat emphysema. In 1997, the first transgenic cow, Rosie, produced human protein-enriched milk (2.4 grams per litre). The milk contained the human alpha-lactalbumin and was nutritionally a more balanced product for human babies than natural cow-milk. A nematode Meloidegyne incognitia infects the roots of tobacco plants and causes a great reduction in yield. A novel strategy was adopted to prevent this infestation which was based on the process of RNA interference (RNAi). This method involves silencing of a specific mRNA due to a complementary dsRNA molecule that binds to and prevents translation of the mRNA (silencing). Biopiracy is the term used to refer to the use of bio-resources by multinational companies and other organisations without proper authorisation from the countries and people concerned without compensatory payment. ELISA is based on the principle of antigen-antibody interaction. Infection by pathogen can be detected by the presence of antigens (proteins, glycoproteins, etc.) or by detecting the antibodies synthesised against the pathogen.
In 1997, the first transgenic cow, Rosie, produced human protein-enriched milk (2.4 grams per litre). The milk contained a protein called _______ which was nutritionally a more balanced product for human babies than natural cow-milk.

Arrange the given steps of DNA fingerprinting in the sequence from initiation to end.
(A) Digestion of DNA by restriction endonuclease
(B) Isolation of DNA
(C) Hybridisation using labelled VNTR probe
(D) Transferring (blotting) of separated DNA fragments to synthetic membrane
Choose the correct answer from the options given below :

The function \(f: R \rightarrow R\) given by \(f(x)=-|x-1|\) is