In uniform electric field \( \vec{E} = 3 \times 10^3\hat{i} \text{ N/C} \), a square loop of side 10 cm is placed such that plane of square loop is parallel to the yz plane. The flux linked with the square loop will be:

A real and smaller image of an object will be produced by

The ratio of the intensity of unpolarised incident light and polarised emergent light is :

Match List-I with List-II

List -I Physical Quantity	List II Dimensional Formula
(A) Capacitance	(I) \( [M L^3 T^{-3} A^{-1}] \)
(B) Electric Flux	(II) \( [M L^2 T^{-3} A^{-1}] \)
(C) Potential	(III) \( [L^{-2} A T] \)
(D) Polarisation	(IV) \( [M^{-1} L^{-2} T^4 A^2] \)

Choose the correct answer from the options given below:

Work done in moving a charge q along a closed path of length l by an electric field \(\vec{E}\) is given by:

An electron in a hydrogen atom is in the third excited state. It returns to the ground state by emitting photons. How many different photon wavelengths are possible ?

In a Young's double slit experiment, interference fringes were produced on a screen placed 1.8 m from the two slits 0.3 mm apart and illuminated by light of wavelength 600 nm. The fringe width is

Bag I contains 3 black and 2 white balls, Bag II contains 2 black and 4 white balls. A bag is selected at random and then a ball is drawn from it. The probability that the ball drawn is black is :

Read the following passage carefully and answer the given questions.
Immune System in the Body
The human immune system consists of lymphoid organs, tissues, cells and soluble molecules like antibodies. The primary lymphoid organs are bone marrow and thymus where immature lymphocytes differentiate into antigen-sensitive lymphocytes. After maturation the lymphocytes migrate to secondary lymphoid organs like spleen, lymph nodes, tonsils, Peyer's patches of small intestine and appendix. The secondary lymphoid organs provide the sites for interaction of lymphocytes with the antigen, which then proliferate to become effector cells. The bone marrow is the main lymphoid organ where all blood cells including lymphocytes are produced. Each antibody molecule has four peptide chains, two small called light chains and two longer called heavy chains. Hence, an antibody is represented as H2L2. Different types of antibodies are produced in our body. IgA, IgM, IgE, IgG are some of them. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs.
Human immune system recognizes the viral proteins as:

Bacillus thuringiensis produces insecticidal proteins that kills insects, belongs to -
(A) Dipterans
(B) Lepidopterans
(C) Coleopterans
(D) Ephimepterans
Choose the correct answer from the options given below:

The domain of the function \(f(x)=\sin ^{-1}(2 x-3)\) is :

A Convex mirror produces the magnification \( \frac{1}{3} \) and \( \frac{1}{4} \) when the object is placed at the points P and Q in front of the mirror.

Match List I with List II

LIST - I	LIST - II
A. the region represented by \(x \geq 0, y \geq 0\)	i. No feasible region
B. The region represented by the inequalities \(2 x+y \geq 3, x+2 y \geq 6, x, y \geq 0\)	II. ist quadrant
C. The region represented by the inequalities \(x+2 y \leq 8,3 x+2 y \leq 12, x, y \geq 0\)	III. unbounded
D. The region represented by the inequalities \(x+y \leq 2,3 x+5 y \geq 15, x, y \geq 0\)	iv. bounded

Choose the correct answer from the options given below.