Three charges \(+q,-2 q\) and \(4 q\) are placed on the vertices of an equilateral triangle of side 0.2 m . The electrostatic potential energy of the system (Take \(q= 1 0 \mu C\) ) is :

Match List-I with List-II

List-I	List-II
(A) The standard resistance coil	(I) Nickel-chromium alloy
(B) The connecting wire	(II) tin-lead alloy
(C) The heating wire	(III) copper metal
(D) The fuse wire	(IV) copper manganese nickel alloy

Choose the correct answer from the options given below:

A converging lens is used to form image on a screen. When the lower half of the lens is covered by an opaque screen then, the correct statements are :
(A) Intensity of Image will decrease.
(B) Intensity of Image will increase.
(C) Complete Image will be formed.
(D) Half the Image will disappear.

Resistance R1 is with 10 \(\Omega\) resistance in series and is in the first gap of meter bridge with R2 in the second gap. The balance point is at 50 cm. When the 10 \(\Omega\) resistance is removed then the balance point shifts to 40 cm. What is the value of R1?

A glass beaker contains water upto a height \( h_1 \) and kerosene oil above water upto height \( h_2 \). If the refractive index of water is \( \mu_w \) and that of oil is \( \mu_k \), then what will be the apparent shift in the position of the bottom of the beaker when viewed from above ?

Let \(i_E, i_C\) and \(i_B\) represent the emitter current, the collector current and base current respectively in a transistor Then:

The self inductance of an inductor does not depend on the :

Read the passage carefully and answer the questions based on the passage:
Pest Resistance Plants
Various nematodes parasitize a wide variety of plants and animals, including human beings. A nematode, Meloidogyne incognitia, infects the roots of tobacco plants and causes a great reduction in yield. A noval strategy was adopted to prevent this infestation which was based on the process of RNA interference (RNAi). RNAi takes place in all eukaryotic organisms as a method of cellular defense. This method involves silencing of a specific mRNA due to a complementary dsRNA molecule that binds to and prevents translation of the mRNA (silencing). Plants, bacteria, fungi and animals whose genes have been altered by manipulation are called Genetically Modified Organisms (GMO). GM plants have been useful in many ways. Genetic modification has: (i) made crops more tolerant to abiotic stresses (cold, drought, salt, heat). (ii) reduced reliance on chemical pesticides (pest-resistant crops). (iii) helped to reduce post harvest losses. (iv) increased efficiency of mineral usage by plants (this prevents early exhaustion of fertility of soil). (v) enhanced nutritional value of food, e.g., golden rice, i.e., Vitamin 'A' enriched rice. Genetic modification of organisms can have unpredicatable results when such organisms are introduced into the ecosystem. Therefore, the Indian Government has set up organisations such as GEAC (Genetic Engineering Approval Committee), which will make decisions regarding the validity of GM research and the safety of introducing GM-organisms for public services. Some strains of Bacillus thuringiensis produce proteins that kill certain insects such as lepidopterans (tobacco budworm, armyworm), coleopterans (beetles) and dipterans (flies, mosquitoes).
The Indian Government organization GEAC stands for -

The corner points of the feasible region of a LPP are \(P(0, 5), Q(1, 5), R(4, 2)\) and \(S(12, 0)\).
The minimum value of the objective function \(Z = 2x + 5y\) is at the point:

Two concentric circular loops of radius 5 cm and 15 cm are placed co-axially. Find e.m.f induced in the inner loop, if the current through the outer loop is changed at a rate of 10 A/ms. Assume the magnetic field on the inner loop to be uniform.

The resistivity of a material depends on

Consider \(Z = x + y\) subject to the constraints \(2x + y \le 3, 2x - y \ge 0, x \ge 0, y \ge 0\). The maximum value of Z is:

The maximum value of Z = 3x + y subject to the constraints
x + y \(\le\) 7,
x \(\le\) 5,
y \(\le\) 4,
x \(\ge\) 0, y \(\ge\) 0 is: