Two waves of amplitudes 3 m and 2 m , respectively superimpose at a point in the same phase. The resultant amplitude would be

The light rays travel from a glass slab with refractive index \( \mu_1 \) to the second slab with refractive index \( \mu_2 \). The refractive index of the second slab with respect to the first one is: (Assume that the two slabs have the same thickness)

Match List-I with List-II:

List-I (Name of the Particle)	List-II (Charge and Mass)
(A) Proton	(I) +2e; 4u
(B) Neutron	(II) +e; 1u
(C) Deuteron	(III) 0; 1u
(D) \( \alpha \) particle	(IV) +e; 2u

Two conducting circular loops of radii a and b are placed in the same plane with their centre coinciding. If \( a \gg b \), the mutual inductance M between then will be directly proportional to:

When a ray of light is incident at an angle \( \theta = 60^{\circ} \) on an air-glass interface, the reflected ray is 100 percent plane polarised. The value of the refractive index of the glass with respect to air (\( ^an_g \)) is given by :

If Brewster's angle be θ, then the critical angle is:

A galvanometer of resistance \(76 \Omega\) gives full scale deflection when only \(5 \%\) of total current passes through it. The value of shunt is :

Benzene ring in phenol is expected to give the characteristic substitution or replacement reactions i.e. halogenation, nitration, sulphonation, alkylation etc. In these reactions, the attacking reagent is electrophile. The phenolic group activates the ortho and para positions in the ring due to conjugation. Disubstitution reactions are quite fast as the electron density in the ring has increased considerably. Phenols do not respond to nucleophilic substitution reactions as it is influenced by phenolic group.
Secondary alcohol among the following is:

(A)

(B) \(H _2 C = CH _2- CH _2 OH\)

(C) \(H _3 C - CH _2- CH _2 OH\)
(D)
(E)

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Read the Passage carefully and answer the the questions
Insulin consists of two short polypeptide chains : chain A and chain B, that are linked together by disulphide bridges. The first clinical gene therapy was given in 1990 to a 4-year old girl with adenosine deaminase (ADA) deficiency. This enzyme is crucial for the immune system to function. Recombinant DNA technology, Polymerase Chain Reaction (PCR) and Enzyme Linked Immuno-sorbent Assay (ELISA) are some of the techniques that serve the purpose of early diagnosis of diseases. 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 (α-1-antitrypsin) used to treat emphysema. 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.
In 1997, an American company got patent rights on Basmati rice through the US Patent and Trademark Office. This allowed the company to sell a ‘new’ variety of bvasnmati, in the US and abroad. This ‘new’ variety of Basmati had actually been derived from Indian farmer's varieties.. Indiian Basmati was crossed with semi-dwarf varieties and claimed as an invention or a novelty. This is a case of :

For \(SN_2\) reaction, the increasing order of the reactivity of the following alkyl halides is:
(A) \(CH _3 CH _2 CH _2 CH _2 Br\)
(B) \(CH 3 CH 2 CH ( Br ) CH 3\)
(C) \(( CH 3) 3 CBr\)
(D) \(( CH 3) 2 CHCH 2 Br\)

Which one of the following is not the invasive alien species?

Let E and F are events associated with an experiment. If \(P(E)=0.4, P(F)=0.8\) and \(P(F \mid E)=0.6\) then \(P(E \mid F)\) is:

Match List I with List II.

LIST I	LIST II
A. Agarose	I. Polymerase chain reaction
B. Thermostable DNA polymerase	II. Electrophoresis
C. Micro injection	III. Ampicillin resistance gene
D. Selectable marker	IV. Introduction of alien DNA in animal cell

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